UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico

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UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
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   UPGRADE 2
   TRACKING SYSTEM
   TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM)
                                                     Lucia Grillo
                                           (for the Mighty Tracker group)

                        5th Workshop on LHCb Upgrade II, Barcelona, 30/03/2020

Apologies for links to LHCb internal documents, those are just for completeness for LHCb colleagues
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
INTRODUCTION                                          2

                              Mighty Tracker
TRACKING SYSTEM
                  UT

                                 ~21% of long tracks *
                                 ~50% of long tracks *
                                 ~29% of long tracks *

                       * At first layer of T1, inclusive-b,
                       Upgrade 2 luminosity
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS: INNER, MIDDLE TRACKER, SCIFI                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   LHCb-INT-2019-007
MIGHTY TRACKER                                             Inner Tracker (LS3)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               20cm
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         20cm

                                                           Middle Tracker (LS4)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ~54 cm (one Sci-Fi module)    20 cm

▸ HV-CMOS: Inner Tracker (IT), Upgrade
  1b + Middle Tracker (MT), Upgrade 2

▸ Design choices that impact track
  reconstruction performance (track
  finding efficiency, fake rate,
  momentum resolution):                             IT
                                                    Area per layer = 6 lots of 20x54 cm = 0.7 m2 (minus beam hole)
                                                    Total Area = 6 layers of 0.7 m2 = 3.9 m2 (minus beam hole)

                                                    IT+MT
                                                    Area per layer = 28 lots of 20x54 cm = 3.0 m2 (minus beam hole)
                                                    Total Area = 6 layers of 0.7 m2 = 18.1 m2 (minus beam hole)

                                                                                L = 1.5 ⇥ 1034 cm                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        s    1

                                                                        L = 2 ⇥ 1033 cm 2 s 1
                                                                        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

                            2019 2020 2021   2022   2023    2024    2025                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         2026     2027 2028 2029                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  2030   2031 …
                              LS2         Upgrade Ia              LS3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Upgrade Ib                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  LS4     UII
                                           SciFi Only                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   SciFi + Si Inner Tracker                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 SciFi +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 Inner +
                                    U Ib TDR            UII TDR                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Middle
                                    UII Framework TDR                   U Ib Install                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             U II Install    Tracker
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS                                                                                                                                4

           MIGHTY TRACKER - UPGRADE 1B                                                                                    4 layers of hybrid + 8 fibre
                                                                                                                          modules. How many ‘old’
                ▸ Inner Tracker (IT), Upgrade 1b (new ideas)
                                                                                                                          SciFi modules we can afford
                                                                                                                          for tracking performance?

                      536 mm

                                   Fibremat top

                                                                             Inner /
          4835 mm

                                  2 mm                                       Middle
                                                                             Tracker
                                   Dead region

                                   Fibremat bottom

                    2 mm   2 mm                                                                             y-size initially chosen for reduction of
                     Standard                          Hybrid
 igure 3.6: The dimensions of a module as described in the simulation and the definition of
            SciFi Module                          Module
                                                                                            Shortened
                                                                                 SciFi Module
                                                                                                            fake rate (assuming fake rate negligible in
he stereo angles. The size of the dead material is increased to be visible. The simulation
escribes one full fibre mat in each module whereas the final module will be constructed using
ight separate 13.5 cm fibre mats placed side by side.
                                                                                                            the silicon region). Larger y-size justified
                                                                                                            for specific physics cases?
ime (less than a few ns). Single dopant fibres that emit in the blue-region (such as PMP,
 r p-terphenyl (PT) dye) typically have a shorter attenuation length of ⇠1 m, due to the
elf-absorption of the light by the dye. Dyes that exhibit a larger separation between their
 bsorption and emission spectra (Stokes’ Shift), such as 3HF which emits in the green,
 ave longer attenuation lengths (> 2 m). A second approach is to use two scintillating
 yes. The primary dye has a high quantum efficiency to absorb the energy from the base
material and the second dye is a wavelength shifter (⇠0.05% by weight). It absorbs the
 mission of the primary dye, via radiative or non-radiative transfer, and fluoresces at a
onger wavelength where re-absorption in the fibre is less likely to occur [43].
    For the time being, all experimental work has been concentrated on the multi-clad
 lue emitting fibre of type SCSF-78MJ4 from Kuraray5 . It uses p-terphenyl (PT) as a
 rimary dye, plus tetraphenyl-butadiene (TPB)6 as a wavelength shifter [44–47] and was
 hosen as the baseline because of previous experience and knowledge gained from using
he scintillating fibres in other experiments. Co-operation with a second fibre supplier,
  4
                ▸ Additional options?
    The M indicates multi-clad. The J indicates a high purity distillation process was used. This results
n an extended attenuation length.
  5
    Kuraray Co., Ltd., Ote Center Building, 1-1-3, Otemachi, Chiyoda-ku, Tokyo 100-8115, Japan.
  6
    The dyes have not been confirmed directly by Kuraray, but are based on private communications in
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS: NEEDS OF ION PHYSICS                                                              5
                                                           Benjamin Audurier 23.10.2019
LHCb performance in PbPb Collisions                                 LHCb-INT-2020-004
                                       / Centrality = f(eCal energy)
▸ Higher centrality = higher
  energy density = creation of
  Quark-Gluon Plasma              rA            rB
▸ PbPb track reconstruction up to
  30% centrality with the upgrade
  detector, SciFi occupancy limiting
  factor
                                                             Maximum occupancy of the SciFi

     LHCb Unofficial

▸ IT reduces occupancy in the SciFi: which IT geometry would allow to reach 0%
  centrality?
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS: NEEDS OF ION PHYSICS                                                       6
                                                        Benjamin Audurier 04.03.2020
LHCb performance in PbPb Collisions                              LHCb-INT-2020-004

  ▸ Method: use ALICE Phys. Lett. B 772 (2017) 457 to estimate charged particle
    multiplicity in LHCb

multiplicity x 3.5

multiplicity
x 2.2

                                                ▸ IT extended to 2nd to most
                                                  central modules is needed to
                                                  reach 0% centrality

                                                ▸ Additional technical complications
                                                  and/or costs

                                                ▸ “Original” IT allows to reach
                                                  10%-20% centrality
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS: INNER AND MIDDLE TRACKER                                                                                         7

                                                                Inner Tracker (LS3)
                                                                                            LHCb-INT-2019-00720cm
MIGHTY TRACKER: BASELINE DESIGN UPGRADE 2                       Middle Tracker (LS4)
                                                                                                        20cm
                                                                                           ~54 cm (one Sci-Fi module)    20 cm

 ▸ Extension of IT/MT/SciFi regions                                                     1060mm
                                                                                                                 200mm
  ▸ Geometrical constraints; Occupancy
    per SciFi fibre < 2% (MT region)

 ▸ IT/MT # layers and arrangement
                                                           IT
  ▸ Pixels: track finding efficiency close to 100%
                                                Area periflayer
                                                            dead= 6 lotsarea
                                                                         of 20x54iscm <  5%
                                                                                      = 0.7     withbeam
                                                                                            m2 (minus 6 layers
                                                                                                         hole)
                                                           Total Area = 6 layers of 0.7 m2 = 3.9 m2 (minus beam hole)

▸ IT/MT pixel/strip size                                   IT+MT
                                                           Area per layer = 28 lots of 20x54 cm = 3.0 m2 (minus beam hole)
                                                           Total Area = 6 layers of 0.7 m2 = 18.1 m2 (minus beam hole)
  ▸ Occupancy: strips shorter than 100mm needed in IT Upgrade 2
  ▸ Pixel size in x to have momentum resolution as good as Upgrade 1: 100μm
  ▸ Pixel size in y to maximise track angle (wrt then beam axis) resolution.
    Multiple scattering dominates for pixel size larger than (100-400)μm for
    tracks of (1.5-40)GeV, with 40mm spacing between layers
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
T-STATIONS: INNER AND MIDDLE TRACKER                                                                                                                           8

MightyPix - pixel size
▸ Baseline: 100μm x 300μm other sizes up to 50μm x 150μm
               0.9                                                            ×10−p3 = 15000.00[MeV] d = 40.00[mm]
 δ p / p [%]

                                               σ track y-angle [rad]
               0.8                                                      0.2
               0.7                                                     0.18
                                                                       0.16
               0.6
                                                                       0.14
               0.5
                                                                       0.12
               0.4                                                      0.1
               0.3                                                     0.08
                           Upgrade I
               0.2         Upgrade Ib, 100µm
                           Upgrade Ib, 200µm
                                                                       0.06
                                                                                                                                     hit resolution
               0.1         Upgrade II, 100µm                           0.04                                                          MS
                           Upgrade II, 200µm                                                                                         MS + hit resolution
                0                                                      0.02
                 0   50             100                                                                        0.5                               1
                          Momentum [GeV]                                                                                             pitch[mm]

 ▸ Further studies on going to refine this number
                                                                                                     104
                                                                                                                                                Abs(tan(αx))
                                                                                                                     98% of clusters
  ▸ Cluster size~ 1.02 pixel from                                             d · tan(↵)             103
                                                                                                                     contain one hit
                                                                                                                                                Entries            548037

    geometrical considerations
                                                                                                                                                Mean       0.518 ± 0.00113

                                                                                                     102                                        Std Dev 0.832 ± 0.000798

    (slope between exit and
                                                                                                     10
    entry points) other effects
    may dominate                                                                                       1
                                                                                                           0          2    4     6             8             10
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
FINDING TRACKS                                                                     9

                                                “Forward”
FINDING “LONG: TRACKS - TODAY
▸ Long (+downstream) tracks:
  what everyone needs

                                                “Matching”
           UT

 ▸ You need to match VELO(UT) track and either hits on T-stations or T-track

 ▸ Following studies use Bs→φφ MC, generated with Upgrade 2 luminosity and
   Upgrade 1 geometry. MCHits are used (+ smearing to add hit resolution effect)
UPGRADE 2 TRACKING SYSTEM - TRACKING AND SIMULATION STUDIES (UPSTREAM AND DOWNSTREAM) - CERN Indico
FINDING TRACKS - “VELO-UT” SEGMENT                                                                                                                             10

                                                                                                                           ra ck
                                                                                                                          T
  EXTENDING VELO TRACK SEGMENT IN UT
                                                                                                                             t     line
                                                                                                                     straigh

                       VELO
      x
           z

                                                                                                            UT, layer 1
  ▸ Find UT hit to extend the VELO track segment by
    opening a search window in x and y

                                                   relative to total integral (normalised to 1)
                                                                                                    1

  ▸ 14mm x 9mm search window ensures the                                                          0.8
                                                                                                                                                     search window in X
                                                                                                                                                     roughly 98% in x
    correct hit is within the search window more                                                                                                     search window in Y

    than 98% of the cases; average 7-11 hits                                                      0.6                                                roughly 98% in Y

    within search window                                                                          0.4

  ▸ Next steps: include region dependence and                                                     0.2

    try to reduce fake rate (timing?)
                                                                                                   0
                                                                                                        0        5          10              15               20
Luke Mitchell, Edinburgh summer student project                                                                                           search window size [mm]
FINDING TRACKS - “FORWARD” TRACKING                                                                               11
                                                                            Vadym Denysenko 12.02.2020
     FORWARD TRACKING
               “kink” plane
 1                                                          2

               search window in x (200mm) and y (75mm)                            Use search window in y and x information

 3                                                          4

                                                            Repeat for all hits within initial search window, excluding
                 Use search window in y and x information
                                                            downstream segments incompatible for tracks slopes in x and y

▸ Assuming VeloUT segment
▸ Find tracks passing basic criteria: not electrons, no secondary interactions between
  last upstream hit and first downstream hit, minimum number of hits and momentum
FINDING TRACKS - “FORWARD” TRACKING                                                                                12
                                                                            Vadym Denysenko 12.02.2020
    FORWARD TRACKING
           “kink” plane
1                                                         2

           search window in x (200mm) and y (75mm)                                 Use search window in y and x information

3                                                         4

                                                          Repeat for all hits within initial search window, excluding
            Use search window in y and x information
                                                          downstream segments incompatible for tracks slopes in x and y

                   At least 3 downstream hits (1 per station belonging to the correct particle)

                                               ~95%                 ▸ First study. Next steps:
                                                                      investigate strategies to
                                                    ~33%              reduce the fake rate
FINDING TRACKS - TRACK “MATCHING”                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                13

 TRACK MATCHING
  ▸ Assuming stand-alone track
    reconstruction in then T-
    stations is possible,

  ▸ Match the VELO-UT
    segments to the T-station
    segments, by minimising:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2           (xpred   xmeas )   2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              (ypred   ymeas )   2       (ty pred    ty meas )2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       match   =            2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          +            2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     +              2
      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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            x                          y                            ty

Irene Cortinovis, Zurich student project                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              Alessandro Scarabotto, CERN summer student project
FINDING TRACKS - TRACK “MATCHING”                                                                         14

 TRACK MATCHING
                                                                       If for every VELO-UT track a
                                                                       match is found.

                                                                       Discarding VELO-UT with too
                                                                       high Χ^2:

                        Upgrade 1            Upgrade 2
                                                                     98% Matched VELO-UT, 16% ghost rate
   Efficiency         0.968 ± 0.005 0.932 ± 0.003
                                                                     96% Matched VELO-UT, 15% ghost rate
   Ghost rate         0.127 ± 0.008 0.173 ± 0.004
                    Upgrade 1 luminosity,
                    using same algorithm

▸ Dominant contribution to these ghost rates is from
  tracks not reaching the T-stations (cut applied for
  following studies)

                                                                                     Matched VELO-UT tracks [%]
Irene Cortinovis, Zurich student project   Alessandro Scarabotto, CERN summer student project
FINDING TRACKS - TRACK “MATCHING”                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Zakariya Aliouche 25.03.2020                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            15

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         TRACK MATCHING - ADDING MOMENTUM & (PV) TIMING
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2           (xpred   xmeas )2          (ypred   ymeas )2       (ty pred                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             ty meas )2       (pV eloU T                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  pT stat )2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          match   =            2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          +               2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2             +    2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               x                          y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ty                 p,V eloU T                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                + p,T  stat

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ▸ VELO-UT momentum
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            resolution ~15%

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ▸ VELO-T-stations momentum
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            resolution ~2%

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         2            (xpred       xmeas )   2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     (ypred    ymeas )    2       (ty pred                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             ty meas )2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         (tP V
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            velo  tP V
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   T stat ) 2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         match    =                2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 +            2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2               +                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2       2
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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   x                          y                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       ty                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    velo +  T stat

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          ▸ time resolution
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            assumed to be 30ps                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               AAACBXicdVC7SgNBFJ2NrxhfUUstBoNgIWE3bkjSBW0sI+QFyRJmJ5NkyOyDmbuBsGxj46/YWChi6z/Y+TdOXqCiBy6cOede5t7jhoIrMM1PI7W2vrG5ld7O7Ozu7R9kD4+aKogkZQ0aiEC2XaKY4D5rAAfB2qFkxHMFa7njm5nfmjCpeODXYRoyxyNDnw84JaClXva0q/jQI714wkSQXK5edQUEkl42Z+Zt27QrZaxJsVgqWQtilirYyptz5NAStV72o9sPaOQxH6ggSnUsMwQnJhI4FSzJdCPFQkLHZMg6mvrEY8qJ51ck+FwrfTwIpC4f8Fz9PhETT6mp5+pOj8BI/fZm4l9eJ4JB2Ym5H0bAfLr4aBAJDAGeRYL7XDIKYqoJoZLrXTEdEUko6OAyOoTVpfh/0izkrat84c7OVa+XcaTRCTpDF8hCJVRFt6iGGoiie/SIntGL8WA8Ga/G26I1ZSxnjtEPGO9fEKmZmQ==
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           velo ,       T stat

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        PV       PV
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      tvelo = ttrue + velo
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    tP V
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     T stat = t PV
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                i   + T stat
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    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
FINDING TRACKS - TRACK “MATCHING”                                                         Zakariya Aliouche 25.03.2020              16

TRACK MATCHING - MOMENTUM & TIMING
2           (xpred   xmeas )2       (ypred   ymeas )2       (ty pred    ty meas )2       (pV eloU T     pT stat )2   (tP V
                                                                                                                       V elo   tP V
                                                                                                                                T stat )
                                                                                                                                         2
match   =            2
                                +            2
                                                        +              2             +    2               2        + 2           2
                     x                       y                         ty                 p,V eloU T   + p,T stat     t,V elo + t,T stat

                                                                                            ▸ Only 10% of the wrong
                                                                                              matches come from the
                                                                                              same PV
                                                                                            ▸ ~60% of the wrong
                                                                                              matches are electrons

                                                                                            ▸ Momentum more
                                                                                              beneficial than (PV) timing
FINDING TRACKS - T-TRACKS                   17

T-TRACK FINDING
▸ distance between pair of layers is
  current x1-x2 distance, baseline
  pixels: good hit resolution in x
  and y

▸ start from all the hits in the
  highest z layer and open a
  search window in y

▸ for each pair of hits search third
  hit within y search window

▸ for each set of 3 hits used linear
  and parabolic extrapolation to
  centre a x-y search window to
  find the hits in the following
  layers
Jiazhen Tang, CERN summer student project
FINDING TRACKS - T-TRACKS                                                                                                                  18
                                                                                    Possible tracks from one point in y component
                                                                         280

                                                                                   Real track
T-TRACK FINDING                                                          210

                                                         y position/mm
▸ Multiple track candidates for the same                                 140

  initial hit: for p>5GeV the less curved
  candidate (in x) is the real track in most                              70

  of the cases, for now choosing                                           0
                                                                            7800         8225            8650          9075         9500

  candidate including hits closer to the                                                             z position/mm
                                                                                    Possible tracks from one point in x component
  predictions                                                            450

                                                                           0

                                               x position/mm
                                                                         -450

                                                                                    Real track
                                                                         -900

                                                                   -1350

                tight search    loose search                       -1800
                                                                        7800             8225            8650          9075         9500

                  window          window                                                             z position/mm

Efficiency         89.0%           93.9%
                                                                                ▸ Very first study. several
Ghost rate         12.9%           15.7%                                          improvements to make it more
                                                                                  performing and more realistic
Jiazhen Tang, CERN summer student project
DETECTOR GEOMETRY DESCRIPTION                                                       19
                                                                Tai-Hua Lin 04.03.2020
DETECTOR DESCRIPTION
▸ Full geometry of Mighty Tracker implemented in DD4hep

▸ Passive material not (decided and) implemented yet

▸ Some details like gap sizes needs to be confirmed

▸ Will allow for more realistic track reconstruction studies!
SUMMARY AND OUTLOOK                                                                       20

OUTLOOK
 ▸ Open design questions/optimization
    ▸ Pixel size, module design (material, support, structure), strategy for Upgrade 1b

 ▸ First track reconstruction performance studies (using MCHits)
    ▸ First pattern recognition algorithm for MT implemented - few more ideas to be tried
      and hits in the fibre region to be added: tool to optimise pixel size/layer spacing
    ▸ Extension of VELO track segment with UT hits and downstream hits to be better
      investigated (might be profit from timing?)
    ▸ Upstream/downstream track segment matching looks promising, momentum looks
      more beneficial than timing

 ▸ Progress in DD4hep detector geometry description
    ▸ Geometry implemented in DD4hep, next steps: material implementation and
      realistic tracking studies

 ▸ Good progress so far, but a lot still to do
21

BACKUP
UT: FIRST STUDIES                                                                      22
                                           Jianchun Wang, Quan Zou, Yiming Li, 18.03.2020
UT OCCUPANCY - UPGRADE 1

▸ Minimum bias (MB) events used to estimate
  the strip occupancy and the number of hits to
  be recorded

▸ At inner sensors the average occupancy is
  ~1%. Some ASICs are higher ~2%
UT: FIRST STUDIES                                                                                                                23
                                                                                    Luke Mitchell, Edinburgh summer student project

UT OCCUPANCY - UPGRADE 2
▸ Could imagine equipping using HVCMOS of IT and/or outer part with silicon strips
 ▸ Occupancy / radiation requirements an order of magnitude higher than in Mighty
   Tracker
                                 Strip Occupancy 1D Hist in x
 Occupancy [%]

                 35
                                                           0-100mm in Y
                 30
                                                           100-200mm in Y

                 25                                        200-300mm in Y

                 20

                 15

                 10

                  5
                                                                     1%                                   100x500μm pixels
                  0
                 −800   −600   −400   −200    0     200    400      600       800
                                                                          x [mm]

▸ From occupancy considerations, strips in external region (2/3 of the area) feasible,
  pixels internally (1/3 of the area)
REGIONS OF COVERAGE                                                                 24

OCCUPANCY STUDIES
▸   Hybrid modules: same width for IT/MT and SciFi modules

                                                                      Upgrade 2
       Upgrade 2

                                                         Low occupancy per silicon
                                                         sensor preserves track
                                                         reconstruction (e.g. allowing
                                                         stand alone track
                                                         reconstruction in T-stations)
    Constraint on occupancy of the SciFi to Upgrade 1
    occupancy (to preserve tracking performance and contain
    radiation damage of the fibres) sets the MT dimension

▸ Number of hits obtained from Geant4 simulation (MCHits) - safety factors needed
  for: pp collisions, tracking threshold, material assumes the full SciFi
REGIONS OF COVERAGE                                                                                                               25

                              OCCUPANCY STUDIES - SCIFI
                                ▸ Choice of MT size: maximum occupancy in Upgrade 2 in SciFi does not exceed the
                                  occupancy of SciFi in Upgrade 1

                                ▸ Maximum integrated occupancies along the fibres

                                      Occupancy per fibre averaged over 40 fibres in top half (y>0) station 1, layer 1
Occupancy [1 / fiber event]

                              0.025
                                          Upgrade 1b                   SciFi               Occupancy [1 / fiber event]   0.16    Upgrade 2       SciFi
                                                                                                                         0.14
                                       2%                              SciFi with IT                                                             SciFi with MT
                               0.02                                                                                      0.12
                                                                                                                          0.1
                              0.015
                                                                                                                         0.08
                               0.01                                                                                      0.06
                                                                                                                         0.04
                              0.005                                                                                             2%
                                                                                                                         0.02
                                 0                                                                                         0
                                            −2000           0                  2000                                                  −2000   0           2000
                                                                                  x [mm]                                                                    x [mm]
REGIONS OF COVERAGE                                                               26

OCCUPANCY STUDIES - IT & MT
 ▸ Could we use silicon strips?
 ▸ Estimated the occupancy per pixel/strip in IT & MT

        Occupancy per bin (0.1mm x100 mm - strip size) per event
          Upgrade 1b                                      Upgrade 2

 ▸ All acceptable values for Upgrade 1b, likely shorter strips needed for Upgrade 2
UPGRADE 1B                                                                        27

INNER TRACKER: FIRST ESTIMATE OF FAKE RATE REDUCTION
 ▸ While the horizontal dimension of IT is constrained to be 1060mm by the width of
   the two (central) SciFi module dimension, there is room for optimisation of the
   vertical size

 ▸ Hits in different IT region are removed to estimate the improvement in fake rate
   (in the SciFI)

                        Full SciFi, fake rate 18%           Upgrade 1b

                                            Nominal IT area, fake rate 3%

  ▸ VELO-like track reconstruction in the IT assumed
NEW PROPOSAL FOR UPGRADE 1B                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            28

UPGRADE 1B - QUICK CHECK
  ▸ Hits in different IT region are removed, standard (in the SciFI - VELO-like track
    reconstruction is assumed)

  ▸ B+->J/psiK+ sample, L = 2 ⇥ 1033 cm
                               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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         s   1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 , O(1k) events digitised & reconstructed,

  ▸ Attenuation maps considered for the fibres https://gitlab.cern.ch/lhcb-conddb/
    SIMCOND/tree/upgrade/master/Conditions/FT/Calibration (documented here:
    http://cdsweb.cern.ch/record/2673602/files/LHCb-PUB-2019-007.pdf),

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Full SciFi
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           x6                     x4

        1   Eff(long>5GeV)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               95.4%                     96.0%                 95.9%
25fb              Ghost rate                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             14.6%                      5.5%                  8.8%
        1   Eff(long>5GeV)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               95.2%                                           95.4%
50fb              Ghost rate                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             13.8%                                            8.3%
        1   Eff(long>5GeV)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               93.5%                                           94.2%
100fb                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    14.2%                                            8.2%
                  Ghost rate
FINDING TRACKS - TRACK “MATCHING”                                                         Zakariya Aliouche 25.03.2020              29

TRACK MATCHING - MOMENTUM & TIMING
2           (xpred   xmeas )2       (ypred   ymeas )2       (ty pred    ty meas )2       (pV eloU T     pT stat )2   (tP V
                                                                                                                       V elo   tP V
                                                                                                                                T stat )
                                                                                                                                         2
match   =            2
                                +            2
                                                        +              2             +    2               2        + 2           2
                     x                       y                         ty                 p,V eloU T   + p,T stat     t,V elo + t,T stat

                                                                                            ▸ Only 10% of the wrong
                                                                                              matches come from the
                                                                                              same PV
                                                                                            ▸ ~60% of the wrong
                                                                                              matches are electrons

                                                                                            ▸ Momentum more
                                                                                              beneficial than (PV) timing
 ▸ VELO-T-stations momentum resolution ~1%
NUMBERS OF LAYERS                                                                                         30

PIXELS - TRACKING IN Y - 6 LAYERS
▸ Pattern recognition not only in the bending plane ?

▸ Pixels: high resolution in x and y: for pixel based IT/MT the number of layers can be
  reduced, achieving similar or better resolution

▸ With 100% sensor active area                       100

                                            ∈rec %
  (possible if DMAPS pixel chips are
                                                      98
  arranged to overlap in each layer),
                                                     96
  6 layers would obtain the effective
                                                     94
  measurements of the current IT                           Track finding efficiency
                                                     92
                                                           close to 100% if dead area
                                                     90    is < 5% with 6 layers
                                                      88    >3 hits

                                                     86
                                                            >4 hits           toy simulation
                                                       0                  5                      10
                                                                                        dead fraction %
PIXEL SIZE (X)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  31

              MOMENTUM RESOLUTION
               ▸ Momentum resolution studied on D→Kππ Upgrade 1 sample, described
                 accounting for Multiple Scattering (MS) and hit resolution (res)

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Upgrade 1                       toy simulation to extrapolate to Upgrade 2
              0.9                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.9

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            δ p / p [%]
δ p / p [%]

              0.8                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.8
              0.7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.7
              0.6                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.6
              0.5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.5
              0.4   ⇣ p ⌘2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                0.4
              0.3          = A2MS + (p ⇥ Bres )2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          0.3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Upgrade I

              0.2     p
                    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
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          0.2                             Upgrade Ib, 100µm
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Upgrade Ib, 200µm
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Upgrade II, 100µm
              0.1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.1                             Upgrade II, 200µm

               0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           0
                0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    50         100                         0                  50                  100
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Momentum [GeV]                                                Momentum [GeV]

               ▸ Pixel size 200μm results in a slightly worse momentum resolution, pixel size 100μm
                 results in an improvement (up to 20% at high momentum)
PIXEL SIZE (Y)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     32

                        TRACK ANGLE RESOLUTION
                         ▸ Track toy (linear segment)
                           obtained from a truth angle,
                           and hits from smearing due to                                                                                                      < ✓M S >=
                                                                                                                                                                        13.6MeV
                                                                                                                                                                                z
                                                                                                                                                                                  r
                                                                                                                                                                                    X 1
                                                                                                                                                                                      p
                           hit resolution and Multiple
                                                                                                                                                                            cp      X0 2
                                                                                                                                                             X/X0 = 0.565% (3.9mm spacing)
                                                                                                                                                             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

                           Scattering (MS)

                         ▸ A “per-track” quantity allows to account for the pixel size and position of the
                           tracker layers at the same time: track angle resolution (in y)

                         ▸ Pixel size in y of (100-400)μm optimal for tracks of (1.5-40)GeV
                                ×10−p3 = 15000.00[MeV] d = 40.00[mm]                                                        ×10−p3 = 40000.00[MeV] d = 40.00[mm]
                                                                                                                     0.24
σ track y-angle [rad]

                          0.2                                                                σ track y-angle [rad]   0.22
                         0.18                                                                                         0.2
                         0.16                                                                                        0.18
                         0.14                                                                                        0.16
                         0.12                                                                                        0.14
                                                                                                                     0.12
                          0.1
                                                                                                                      0.1
                         0.08                                                                                        0.08
                         0.06                                                                                        0.06
                                                                       hit resolution                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             hit resolution
                         0.04                                          MS                                            0.04                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         MS
                                                                       MS + hit resolution                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        MS + hit resolution
                         0.02                                                                                        0.02
                                                           0.5                    1                                                                    0.5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   1
                                                                       pitch[mm]                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  pitch[mm]
PIXEL SIZE (Y) AND ARRANGEMENT OF LAYERS                                                            33

SPACING BETWEEN LAYERS
▸ Detector material considered for a double layer design (3.9mm spacing)
▸ When the layers in each doublet are too close, the hits are not distinguishable, and
  cannot provide a direction useful for the pattern recognition (larger search windows
  needed, extra random hits…)

▸ Which fraction of tracks has the same hit position in y?

                                                  p = 15000.00[MeV] pitch = 0.30[mm]
fractionmerged hits layers 1&2 and/or 3&4

                                            0.8
                                            0.7
                                            0.6
                                            0.5
                                            0.4
                                            0.3
                                            0.2
                                            0.1
                                             0
                                                                   10                  20
                                                                                            d[mm]
NUMBER AND ARRANGEMENT OF LAYERS                                                        34

                                                                           Kapton flex-circuit
                                                                           Si Sensors

ARRANGEMENT OF LAYERS                                                      CF skin
                                                                           Core with
                                                                           Integrated cooling

 ▸ Minimise the material: 3 double-sided
   layers with the sensor layers separated by
   (3.9-40)mm - constraints: support, cooling
   structure needed

 ▸ Distance between layers in each
   doublet should be good enough for
   pattern recognition to form starting
   seeds (2 hits, direction information)

 ▸ Spacing between layers to be studied together with pixel size

 ▸ Alternative to 3 double-sided layers, giving larger spacing but increasing
   material budget is to locate the 6 layers in the x layers of the x-u-v-x of SciFi

 ▸ Alternative to the 6 layers is 8 layers, arranged in 2:2:4 for T stations 1:2:3, to
   minimise the material seen by the SciFi
PIXEL SIZE (Y) AND LAYERS POSITIONS                                                                                                          35

                                            IF THE LAYERS OF THE DOUBLETS ARE TOO CLOSE
                                            ▸ Detector material considered for a double layer design (3.9mm spacing)
                                            ▸ When the layers in each doublet are too close, the hits are not distinguishable,
                                              and cannot provide a direction useful for the pattern recognition (larger
                                              search windows needed, extra random hits…)

                                            ▸ Which fraction of tracks has the same hit position in y?
                                                    p = 15000.00[MeV] d = 40.00[mm]                                                                 p = 15000.00[MeV] d = 3.90[mm]
fractionmerged hits layers 1&2 and/or 3&4

                                                                                                  fractionmerged hits layers 1&2 and/or 3&4
                                             0.14                                                                                             0.9
                                             0.12                                                                                             0.8
                                                                                                                                              0.7
                                              0.1
                                                                                                                                              0.6
                                             0.08                                                                                             0.5
                                             0.06                                                                                             0.4
                                                                                                                                              0.3
                                             0.04
                                                                                                                                              0.2
                                             0.02                                                                                             0.1
                                               0                                                                                                0
                                                                           0.5            1                                                                                0.5           1
                                                                                      pitch[mm]                                                                                      pitch[mm]
                                            ▸ spacings like 40mm looks preferred
                                            ▸ To-do: evaluate the impact of this
TRACK MOMENTUM                                                                                                                                                              36

MOMENTUM DISTRIBUTION IN IT, MT, SCIFI REGIONS
                                                                                                               5000

                                                                                       Middle Tracker tracks
Inner Tracker tracks

                                                      Entries             11679                                                                       Entries       20578
                       800                            Mean             2.51e+04                                                                       Mean       7.78e+03
                       700                            Std Dev          1.97e+04                                4000                                   Std Dev       7e+03

                       600
                       500                                                                                     3000
                       400
                                                                                                               2000
                       300
                       200                                                                                     1000
                       100
                        0                                                      ×103                              0                                                       ×103
                             0   50   100                  150               200                                      0       50                100    150             200
                                                                      p [MeV]                                                                                   p [MeV]
                                            SciFi tracks

                                                           4500                                                           Entries        8516
▸ Inclusive-b MC                                           4000                                                           Mean
                                                                                                                          Std Dev
                                                                                                                                     2.94e+03
                                                                                                                                     1.91e+03

  sample, 1.5x10^34,                                       3500
                                                           3000
  Long tracks, at first                                    2500
  layer of first station                                   2000
                                                           1500
                                                           1000
                                                            500
                                                              0                                                                              ×103
                                                                  0               50                            100        150             200
                                                                                                                                    p [MeV]
PIXEL SIZE (Y) AND LAYERS POSITIONS                                                                                                                  37

                        DIFFERENT CONFIGURATIONS [15GEV- MEAN P IN MT ACCEPTANCE]
                                ×10−p3 = 15000.00[MeV] d = 3.90[mm]                                                          ×10−p3 = 15000.00[MeV] d = 40.00[mm]
                         0.22
σ track y-angle [rad]

                                                                                              σ track y-angle [rad]
                          0.2                                                                                          0.2
                         0.18                                                                                         0.18
                         0.16                                                                                         0.16
                         0.14                                                                                         0.14
                         0.12                                                                                         0.12
                          0.1                                                                                          0.1
                         0.08                                                                                         0.08
                         0.06                                                                                         0.06
                                                                        hit resolution                                                                              hit resolution
                         0.04                                           MS                                            0.04                                          MS
                                                                        MS + hit resolution                                                                         MS + hit resolution
                         0.02                                                                                         0.02
                                                            0.5                    1                                                                    0.5                    1
                                                                        pitch[mm]                                                                                   pitch[mm]
                                ×10−p3 = 15000.00[MeV] d = 184.80[mm]
                         0.25
σ track y-angle [rad]

                                 silicon on x1 and x2 layers of T-stations
                          0.2                                                                                           ▸ Small dependence on the
                         0.15
                                                                                                                          layers positions. For
                                                                                                                          doublets (3.9-40mm) no
                          0.1
                                                                                                                          gain for < 200μm
                         0.05                                           hit resolution
                                                                        MS
                                                                        MS + hit resolution

                                                            0.5                    1
                                                                        pitch[mm]
PIXEL SIZE (Y) AND LAYERS POSITIONS                                                                                              38

                            DIFFERENT CONFIGURATIONS [5GEV]
                                    ×10−d3 = 5.00[mm]                                                       ×10−d3 = 40.00[mm]
                                                                                                     0.25
σ track y-angle [rad]

                                                                             σ track y-angle [rad]
                             0.25
                                                                                                      0.2
                              0.2
                                                                                                     0.15
                             0.15

                              0.1                                                                     0.1

                             0.05                             geometry                               0.05                                         geometry
                                                              MS                                                                                  MS

                                                        0.5              1                                                        0.5                        1
                                                              pitch[mm]                                                                           pitch[mm]
                                     −3
                             0.24 ×10 d = 15.00[mm]                                                         ×10−d3 = 184.80[mm]
    σ track y-angle [rad]

                                                                                                      0.3
                                                                             σ track y-angle [rad]
                             0.22                                                                              silicon on x1 and x2 layers of T-stations
                              0.2                                                                    0.25
                             0.18
                             0.16                                                                     0.2
                             0.14
                             0.12                                                                    0.15
                              0.1
                             0.08                                                                     0.1
                             0.06
                                                              geometry
                             0.04                                                                    0.05                                         geometry
                                                              MS                                                                                  MS
                             0.02
                                                        0.5              1                                                        0.5                        1
                                                               pitch[mm]                                                                          pitch[mm]
CHIP SPECIFICATION DOCUMENT                                                                   39

SIZE OF THE CLUSTER (IN #PIXEL)?
           z

                                     d* tan(Beta)   Track, 4um radius of charge deposition

                                                             Thickness d
                                       Beta                  (LHCb z dirn)
                                       track angle to
                                       vertical

                                                                  x(y)

                                                             Example entry at back and exit
               X, y view of pixels                           at front points of track
CHIP SPECIFICATION DOCUMENT                                                                           40

SIZE OF THE CLUSTER (IN #PIXEL)?
     ▸ MCHits in the T-stations (i.e. secondaries etc included)

     ▸ Slope between exit and entry points of the MCHits along x and y directions (in
       plots: average over the events of the sample)

104
                                 Abs(tan(αx))                104                   Abs(tan(αy))
103                              Entries           548037                          Entries            548037

                                                             103
                                 Mean      0.518 ± 0.00113                         Mean      0.245 ± 0.000889

102                              Std Dev 0.832 ± 0.000798
                                                             102                   Std Dev 0.657 ± 0.000629

10                                                           10

  1                                                            1
      0     2      4      6      8           10                    0   2   4   6   8             10

     ▸ d = 30microns, baseline pixels 100microns x 300microns
     ▸ 97.5% of the hits has cluster size 1, 2.5% of the hits has cluster size 2… Cluster
       size should be ~1.02 pixels
FINDING TRACKS - TIMING                                                                                                                                                              41

       TIME RESOLUTION AND TRACK MATCHING/PV ASSOCIATION
                                                                                                                                                  ▸ Example: use TORCH time
                                                                                                                                                    measurement (~15ps per-track
                                                                                                                                                    resolution) for downstream and
                                                                                                                                                    UT (layer or sensors - 25-200ps
                                                                                                                                                    per-track resolution)

                                                                                                                                          ▸ To be studied impact on full
                                                                                                                                            matching upstream/
  LHC collision time
  sigma ~ 200 ps
                                                                                                                                            downstream and rate of mis-
σUT = 50.00[ps] σMT = 15.00[ps]                    σUT = 200.00[ps] σMT = 15.00[ps]                                                         association (fakes)
  18                              Entries   250                                       Entries    250
  16                              Mean      12.6     35                               Mean      −4.21                         σMT = 15.00[ps]
                                  Std Dev    200

                                                                                                                      downstream-t downstream )
                                                                                      Std Dev    102
                                                     30

                                                                                                        from upstream
  14
  12                                                                                                                                                 1
                                                     25
  10                                                                                                                                               0.8
                                                     20
   8
                                                     15                                                                                            0.6
   6
                                                                                                          Relative σ(tmeas

   4                                                 10
                                                                                                                                                   0.4
   2                                                   5
   0                                                                                                                                               0.2
          −500           0         500                0
                                                             −500           0          500
                                      t 0[ps]                    t meas         from upstream                                                            0   50      100         150        200
                                                                   downstream downstream [ps]
                                                                             -t                                                                                   Upstream per-track resolution[ps]
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