Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni

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Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Darkside:
a Two Phases Argon Time Projection
Chamber for Dark Matter Searches
           Eugenio Paoloni,
       INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Plan For this Tour de Force
➤   Why are we searching for Dark Matter?
    ➤   Astrophysical and cosmological evidences.
➤   Noble liquids Time Projection Chambers (TPC) for Dark
    Matter search
    ➤   Prototypical example: Darkside 50
    ➤   Some neat features of Argon
    ➤   Backgrounds and backgrounds rejection
➤   Darkside 50 preliminary results
➤   Toward a multi tonne background free experiment:
    Darkside 20k

                                                                    2
                        Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Astrophysical

 Evidences
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Zwicky Analysis of the Coma Cluster Dynamics

                                                                                   Fritz Zwicky,
                                                                                   (Varna 1898, Pasadena 1973)
                                                                                   Postulated the existence of Dark
                                                                                   Matter in 1930’s to explain the
                                                                                   dynamic behavior of the Coma
                                                                                   cluster

                 O(1000) galaxies. 46’ ~ 13 mRad

The Coma Cluster: Mosaic in false color (Red long waves infrared, Green short waves infrared, visibile light)
                                                                                                                      4
                                       Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Put 1000 Galaxies on a Scale: Virial Theorem

➤   Zwicky          and
    Assuming that the        theis held
                      Coma cluster  Coma          Cluste
                                        together by classical
                Zwicky and the Coma Cluster
    gravitational forces and that it reached equilibrium, then
    the
      Forvirial theorem
          systems          states
                  in dynamical       that for
                               equilibrium and a single
                                               held      galaxy
                                                    together       of mass
                                                             by gravity,        m: theorem
                                                                         the virial
      becomes: For systems in dynamical equilibrium and held together by gravity, the virial theorem
                  becomes:
              1        21                                                MM
                                                                          tot (r(r)m    Velocities ~ 1000 km/
                m(3 )m(3 2 )                                           G G tot )m      Velocities ~ 1000 km/s
                                                                                       RR~~Mpcs
                                                                                              Mpcs
              2     2                                                        rr         Distance~100~100
                                                                                       Distance         MpcMpc
                              2hT i2hT
                                     =i =hVhV
                                            ii                                          (1pcpc==3.26
                                                                                       (1         3.26   light
                                                                                                     light  yrs)yrs)

    By measuringBy measuring   the velocity
                     the velocity           (dispersion)
                                     (dispersion)   of theof the galaxiesininthe
                                                              galaxies        the Coma
                                                                                  Coma cluster, Zwicky
                                                                                         cluster,      could
                                                                                                  Zwicky  cou
➤ Byinfer its total mass. velocity dispersion σ (Doppler shift) and
      measuring infer itsthe
                         total mass.
                However, the luminous mass (the galaxies in the cluster) was far smaller!
  the   distance
    However,          r from mass
                the luminous     the cluster        center
                                        (the galaxies    in theZwicky
                                                                 cluster) was
                     F. Zwicky, Astrophysical Journal, vol. 86, p.217 (1937)
                                                                               was farable  to
                                                                                       smaller!
    measure
       F. Zwicky,M tot, ie. the
                 Astrophysical      total
                               Journal,       mass
                                        vol. 86,         of the cluster
                                                 p.217 (1937)
                                                                                                             s
                                                                                                         star gas
                                                                                                         DM   s
                                                                                                          star g
                                                                                                             DM
                                                                                                            5
                                       Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
1937ApJ....86..21
F. Zwicky, Astrophysical Journal, vol. 86, p.217 (1937)
    […]

           […]

                                                               6
                   Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
Rotation Curves of Galaxies

     ➤    Measure line of sight velocity of stars and gas via Doppler
          shift (Hα in optical and HI 21 cm line in radio)
Galaxies
  Infer the tangential velocity, apply classical mechanics
     ➤

          M31 ( Andromeda )
                               Image of the Andromeda galaxy (M31)
 (2007)                        with rotation curve superimposed (Turner,2000)
                                                                                7
                              Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
NGC 3198

                       8.5
                         ’~
                             2.5
                               m
                                Ra
                                    d

     NGC 3198: 14 Mpc, Visual Magnitude 9.15
                                                                   8
                       Eugenio Paoloni INFN & Università di Pisa
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
⇠ 25 kpc, also this modified baryon ⇤CDM halo profile appears to create a tension with the derived DM halo density.
[astro-ph.                                         Key words.
                                               Astronomy          Dark Matter;
                                                           & Astrophysics
                                               April 13, 2015
                                                                               Galaxy:
                                                                          manuscript     NGC 3198; NFW haloes; Universal Rotation Curve; Baryonic Feedback
                                                                                     no. N3198A_A2col                                                c ESO 2015

                                 1. Introduction                                                                                           and HI-21 cm radio observations (Bosma 1981; van Albada et al.
                                                                                                                                           1985; Begeman 1987, the latter established it as the object with
                                 It has been known for several decades that the kinematics of disk the clearest evidence for DM), see also (de Blok et al. 2008;
                                    The leads
                                 galaxies      darkto mattera mass discrepancydistribution   (e.g. Bosma      in1978;the Bosma
                                                                                                                             spiral Gentile NGC2008).    3198 out to 0.22 Rvir
                          arXiv:1503.04049v2

                                 & van der Kruit 1979; Rubin etE.V.                      al. Karukes
                                                                                             1980). 1,While           in their
                                                                                                            2 , P. Salucci         in- G. Gentile
                                                                                                                             1, 2 and            Our3, 4present analysis is mainly based on the HI observations
                                 ner regions that range between one and threeA&A                             disk proofs:
                                                                                                                      exponentialmanuscriptby Gentile        et al. (2013), part of the HALOGAS (Westerbork Hy-
                                                                                                                                                  no. N3198A_A2col
                                 scale lengths
                                          1          according
                                             SISSA/ISAS,              to the
                                                             International       galaxy
                                                                              School        luminosity
                                                                                       for Advanced     Studies,(Salucci     & Per-
                                                                                                                   Via Bonomea             drogen
                                                                                                                                  265, 34136,   Trieste,Accretion
                                                                                                                                                         Italy           in LOcal GAlaxieS) survey. The main goal
                                 sic 1999),
                                          2
                                                      observed baryonic matter accounts for the rotation of HALOGAS is to investigate the amount and properties of
                                                 the ekarukes@sissa.it
                                             e-mail:
                                             INFN, Sezione
                                                      (e.g. diAthanassoula
                                                                  Trieste, Via Valerio  et2,al.
                                                                                             34127,   Trieste,   Italy & Salucci           extra-planar gas by using very deep HI observations. In fact, for
                                 curves3 (RCs)                      200                          1987;      Persic
                                             Department of Physics and Astrophysics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium
                                 1988; 4Palunas         & Williams
                                             Sterrenkundig    Observatorium,  2000),      we must
                                                                                  Universiteit           add an281,
                                                                                                Gent, Krijgslaan       extra    mass
                                                                                                                           B-9000          this galaxy, they present a very extended RC out to 720 arc-
                                                                                                                                    Gent, Belgium
                                 component in the outer regions, namely a dark matter (DM) halo sec, corresponding to ⇠ 48 kpc for a galaxy distance at 13.8
                                          April 13, 2015
                                 to account for that component. The kinematics of spirals is now Mpc (Freedman et al. 2001). The previous HI observations by
                                                                                                                                    In de Blok et al. (2008) were only extended out to ⇠ 38 kpc, for
                            Apr 2015

                                 routinely interpreted in the framework of a DM component.
                                 the widely accepted Lambda         150 cold dark matter (⇤CDM) scenario, the same galaxy distance. In Gentile et al. (2013) this extended
                                                                                                                  ABSTRACT

                                 the virialized
                                          Aims. We structures
                                                     use recent very  are   distributed
                                                                         extended             according
                                                                                    HI kinematics     (out to 48thekpc)
                                                                                                                      well   known
                                                                                                                         along             RCH↵was
                                                                                                                                with previous           modelled
                                                                                                                                                   kinematics           in thegalaxy
                                                                                                                                                                 of the spiral      framework
                                                                                                                                                                                        NGC 3198 of modified Newtonian dy-
                                          in order to derive its distribution of dark matter (DM).                                         namics (MOND). Here, we want to use such a uniquely extended
                                 NFW Methods.
                                           profile proposed
                                                      First, we usedby      Navarro,method Frenk,      and White          (Navarro
                                                        V Hkm s-1 L

                                                                         a chi-square              to model    the rotation  curve (RC) of this galaxy in terms of di↵erent profiles of its
                                 et al. 1996).     The ⇤CDM
                                          DM distribution:              scenario
                                                               the universal   rotationdescribes
                                                                                         curve (URC)   the
                                                                                                         masslarge-scale      struc-
                                                                                                                 model (stellar            kinematics
                                                                                                                                 disk + Burkert              to help
                                                                                                                                                 halo + gaseous         resolving
                                                                                                                                                                    disk),  the NFW massthe model
                                                                                                                                                                                              DM core-cusp issue. To the very
                                 ture of(stellar
                                            the Universe
                                                  disk + NFWwell  halo +(e.g.    Springel
                                                                           gaseous   disk) and et
                                                                                                theal.   2006),
                                                                                                     baryon    ⇤CDM   but  it seems
                                                                                                                        mass               reliable
                                                                                                                              model (stellar  disk + NFWkinematics
                                                                                                                                                             halo modified available
                                                                                                                                                                              by baryonicfrom     2 to 48 kpc we apply two dif-
                                                                                                                                                                                            physics
                                          + gaseous disk). Second,  100 to derive the DM halo density distribution, we applied a new method that does not require a global and often
                                                                 of galaxies (de Blok & Bosma 2002; Gen- ferent mass decomposition methods that will derive the DM halo
03.04049v2 [astro-ph.GA] 10

                                 to failuncertain
                                           on the massscales
                                                           modelling.
                                 tile et Results.
                                           al. 2004,While2005).
                                                            accordingGoing       into detail,
                                                                         to the standard   method,the bothNFW
                                                                                                            URC and  density
                                                                                                                        NFW mass pro-modelsstructure.
                                                                                                                                             can account This
                                                                                                                                                            for the is
                                                                                                                                                                    RC,compared
                                                                                                                                                                          the new method with    a) the empirically based halo
                                                                                                                                                                                             instead
                                          leads to
                                 file leads     to athe
                                                     density   profile that isproblem”:
                                                          “core-cusp           sharply disagrees     with the dark
                                                                                               empirical             halo density
                                                                                                                 profiles            a profiles
                                                                                                                              withdistribution          coming
                                                                                                                                                predicted  within the from
                                                                                                                                                                        Lambda thecoldURC,     b) the NFW haloes and c) the
                                                                                                                                                                                        dark matter
                                          (⇤CDM) scenario. We find that the e↵ects of baryonic physics modify the original ⇤CDM halo densities in such a way that the
                                 centralresulting
                                             core of    constant
                                                    profile             density, with
                                                             is more compatible       such the as
                                                                                               DMthe      pseudo-isothermal
                                                                                                     density   of NGC 3198 derived using   baryon
                                                                                                                                              our new⇤CDM           haloes,atthe
                                                                                                                                                        method. However,         largeoutcome
                                                                                                                                                                                        distances, r of Corradi
                                                                                                                                                                                                         scenarios in which bary-
                                 (Begeman         et also
                                          ⇠ 25 kpc,   al. this
                                                           1991;      Kent
                                                                       50baryon
                                                                 modified       1986)⇤CDM  andhalothe   Burkert
                                                                                                     profile  appears(Salucci       & onic
                                                                                                                       to create a tension        physics
                                                                                                                                           with the  derived DM hashalo
                                                                                                                                                                      shaped
                                                                                                                                                                           density.the DM halo density.
                                 Burkert  Key2000),
                                               words. fitDark the   available
                                                                 Matter;  Galaxy: RCs       much
                                                                                     NGC 3198;      NFWbetter
                                                                                                           haloes; than   the mass
                                                                                                                     Universal  Rotation Curve;This      paper
                                                                                                                                                  Baryonic         is organized as follows. Daigle
                                                                                                                                                              Feedback                                   In Sect. 2 we present the
                                 models based on NFW haloes.                                                                               HI and H↵ kinematics used in this study. In Sect. 3 we model
                                                                                                                                                                                                         Gentile
                                       In the present paper, we derive the DM content and distri- the RC by using the quadrature sum of the contributions of the
                                   1. Introduction
                                 bution     in the spiral galaxy NGC 3198. This galaxy has been                            and HI-21
                                                                                                                                   the cmindividual
                                                                                                                                            radio observations
                                                                                                                                                            mass (Bosma
                                                                                                                                                                     components1981; van    Albadadisk
                                                                                                                                                                                         (stellar     et al.+ dark halo + gas disk)
                                 subject of several investigations.       0          It was studied by means1985;           of     Begeman 1987, the latter established it as the object with
                                                                                                                                opti-      where the dark halo has a NFW or a Burkert density profile,
                                   It has been known for several decades     0      that the kinematics  10    of disk the clearest  20   evidence for DM), see also (de Blok et al. 2008;
                                                                                                                                                                 30Sect. 4 we obtain          40the results of standard
                                                                                                                                                                                                                     50
                                                                                                 HkpcL
                                 cal  (Cheriguène 1975; Hunter et al. 1986; Bottema 1988; Wevers respectively. In
                                   galaxies leads to a mass discrepancy (e.g. Bosma 1978; Bosma Gentile 2008).
                                                                                                                                                                                                                              mass
                                 et&al.van1986;    Kent1979;
                                             der Kruit      1987;      Corradi
                                                                   Rubin             et al. 1991;
                                                                            et al. 1980).     While inDaigletheir in- et al. 2006)
                                                                                                                                Our presentmodelling
                                                                                                                                               analysis is of   the NGC
                                                                                                                                                             mainly    based on 3198    RC.
                                                                                                                                                                                    the HI      In Sect. 5 we use a recent mass
                                                                                                                                                                                            observations
        ner regions that range between one and three disk exponential by Gentile et al. r     (2013), part of the HALOGAS (Westerbork Hy-
        scale lengths according to the galaxy luminosity (Salucci & Per-      drogen Accretion   in LOcal                                 Article number, page 1 of 10
                                                                                                            GAlaxieS) survey. The main goal
Fig. 1. sic
         Comparison      between
            1999), the observed      H↵ and
                                baryonic  matterHI RCs black
                                                 accounts for the open        of HALOGAS      is to investigate the  amount  and properties
                                                                  rotationtriangles with error bars from Corradi et al. (1991), blue        of circles with error bars are from
                (RCs) (e.g. Athanassoula et al. 1987; Persic & Salucci extra-planar gas by using very deep HI observations. In fact, for
Daigle curves
         et al. (2006), and red circles with error bars are from Gentile et al. (2013).
        1988; Palunas & Williams 2000), we must add an extra mass this galaxy, they present a very extended RC out to 720 arc-
        component in the outer regions, namely a dark matter (DM) halo sec, corresponding to ⇠ 48 kpc for a galaxy distance at 13.8
        to account for that component. The kinematics of spirals is now Mpc (Freedman et al. 2001). The previous HI observations by
                                                                                                                                                                           9
                                                                   Eugenio de Paoloni INFN
                                                                                 Blok et       &Table
                                                                                                  Università
                                                                                         al. (2008)     1. only
                                                                                                     were      diextended
                                                                                                           Stellar Pisa
                                                                                                                     disk out to ⇠ 38 kpc,Vfor(km s 1 ) (de Blok et al. 2008) and
                                                                                                                          contribution
Darkside: a Two Phases Argon Time Projection Chamber for Dark Matter Searches - Eugenio Paoloni
NGC 3198 components             E.V. Karukes et al.: The dark matter distribution in the spiral NGC 3198 out to 0.22 Rvir

                                 10-22

                                 10-23
   Rotation Curves of Galaxies
                 reff Hgêcm3 L

                                 10-24
          From newtonian dynamics:
                        -25
                   2 10
              mv    mM
          F =    =G 2
               r  -26
                      r
                                 10
                                      1/2                                                                 NGC 2403
               v(r) / r
          For constant 10
                       v: -27
                                                                       Rotation Curves of Ga
                                         0                10              20         30            40                        50
                                                                             r HkpcL
                                                  2
        M (r) / r                ⇢(r) / r                                  From newtonian Corbelli
                                                                                          dynamics:et al (2009)

  Mass density not as steeply falling as star                                              2                    M31
Fig.  7. Density profile  of the DM   halo of NGC   3198   and the e↵ective   density mv
                                                                                      of the other    mM
                                                                                                    components. We  assume   M               10
                                                                                                                               D = 4.4 ⇥ 10 M . The
  density (exponential)!
stellar disk (Blue line), the HI disk (magenta line), the dark halo (red line)Fand
                                                                                 =the sum of =      G
                                                                                               all components (green line). The di↵erent colour regions
                                                                               r          Darkr 2matter
correspond to the regions a) where we do not have any kinematical information due to the lack of data (dark purple), b) where the stellar disk
  ➡ By adding extended dark matter halo
dominates the DM density profile (light purple) and c) where DM dominates (white).                          Stellar disk
     get good fit to the data.                                                    v(r) / r 1/2
                                                                                     Stellar bulge
Similar exercise for the Milky Way yields                                   For constant v:               Gas
local DM density:                                                                                                2
ρ(8.5 kpc)~0.2-0.5 GeV/cm3 (direct Údetection)                            M (r) / r             ⇢(r) / r
                                                               Ú

                                        10-24         Ú        Ú
                                                                   Ú  MassÚ
                                                                              density not as steeply falling as star
                                                                    Ú
                                                                      densityÚ &(exponential)!
                                                                                                                                                  10
                                                          Eugenio Paoloni ÚINFN  Università di Pisa
The Bullet Cluster Smoking Gun Evidence
 The Astrophysical Journal, 604:596–603, 2004 April 1
 # 2004. The American Astronomical Society. All rights reserved. Printed in U.S.A.

             WEAK-LENSING MASS RECONSTRUCTION OF THE INTERACTING CLUSTER 1E 0657!558:
                        DIRECT EVIDENCE FOR THE EXISTENCE OF DARK MATTER1
                                                                                      Douglas Clowe2
                                                                        1.1 Gpc (3.7 Gly)
          Institut für Astrophysik und Extraterrestrische Forschung der Universität Bonn, Auf dem Hügel 71, 53121 Bonn, Germany; dclowe@as.arizona.edu
                                                                                     Anthony Gonzalez
                               Department of Astronomy, University of Florida, 211 Bryant Space Science Center, Gainesville, FL 32611-2055
                                                                                           and
                                                                                     Maxim Markevitch
                                             Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138
                                                           Received 2003 October 28; accepted 2003 December 11

                                                                ABSTRACT
               We present a weak-lensing mass reconstruction of the interacting cluster 1E 0657!558, in which we detect
            both the main cluster and a subcluster. The subcluster is identified as a smaller cluster that has just undergone
            initial infall and pass-through of the primary cluster and has been previously identified in both optical surveys
            and X-ray studies. The X-ray gas has been separated from the galaxies by ram pressure–stripping during the
            pass-through. The detected mass peak is located between the X-ray peak and galaxy concentration, although the
            position is consistent with the galaxy centroid within the errors of the mass reconstruction. We find that the mass
            peak for the main cluster is in good spatial agreement with the cluster galaxies and is offset from the X-ray halo at
            3.4 ! significance, and we determine that the mass-to-light ratios of the two components are consistent with those
            of relaxed clusters. The observed offsets of the lensing mass peaks from the peaks of the dominant visible mass
X-ray      photo       (140
            proof of dark      hr)existence holds
            component (the X-ray gas) directly demonstrate the presence, and dominance, of dark matter in this cluster. This
                            matter             0.45  mRad
                                                  true even under the assumption of modified Newtonian dynamics (MOND);
            based on the observed gravitational shear–optical light ratios and the mass peak–X-ray gas offsets, the dark
            matter component in a MOND regime would have a total mass that is at least equal to the baryonic mass of the
            system.
                                                                                                                                                            11
            Subject headings: dark matter — galaxies:Eugenio Paoloni individual
                                                           clusters:  INFN & Università di Pisa — gravitational lensing
                                                                                (1E 0657!556)
Superimposing the 2 Pictures

                             Co
             Ho                lli
                                   sio
               tc                     n-
Co               ol                            les
  lli              lid                            s
     sio              in                                DM
        n-              gg
          les                   as
             s
                 DM

                                                                       12
                           Eugenio Paoloni INFN & Università di Pisa
Dark Matter Ring
The ring, 2.6-million light-years wide,
formed when two huge clusters of
galaxies slammed together in a head-on
collision 6 to 7 billion years ago,
puffing the mysterious matter outward,
the astronomers figure. If the galactic
hit-and-run had occurred outside of
Earth's line-of-sight, the result might
look more like the "Bullet cluster"--
another cosmic impact site that
astronomers view as strong evidence for
dark matter. (from NBC news)

                                                                             14
                                 Eugenio Paoloni INFN & Università di Pisa
Cosmology (From Astrophysical Observation)
   Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP)
             Observations: Final Maps and Results

  Sky in different microwaves bands
C. L. Bennett1 , D. Larson1 , J. L. Weiland1 , N. Jarosik2 , G. Hinshaw3 , N. Odegard4 , K. M.
Smith5,6 , R. S. Hill4 , B. Gold7 , M. Halpern3 , E. Komatsu8,9,10 , M. R. Nolta11 , L. Page2 , D.
 N. Spergel6,9 , E. Wollack12 , J. Dunkley13 , A. Kogut12 , M. Limon14 , S. S. Meyer15 , G. S.
                                     Tucker16 , E. L. Wright17

                                            cbennett@jhu.edu

                                               ABSTRACT

   1
    Dept. of Physics & Astronomy, The Johns Hopkins University, 3400 N. Charles St., Baltimore, MD
21218-2686
   2
       Dept. of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544-0708
   3
       Dept. of Physics and Astronomy, University of British Columbia, Vancouver, BC Canada V6T 1Z1
   4
       ADNET Systems, Inc., 7515 Mission Dr., Suite A100 Lanham, Maryland 20706
   5
       Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada
   6
       Dept. of Astrophysical Sciences, Peyton Hall, Princeton University, Princeton, NJ 08544-1001
   7
    University of Minnesota, School of Physics & Astronomy, 116 Church Street S.E., Minneapolis, MN
55455

                                                                                           Backgrounds to subtract
   8
       Max-Planck-Institut für Astrophysik, Karl-Schwarzschild Str. 1, 85741 Garching, Germany
   9
    Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study,
the University of Tokyo, Kashiwa, Japan 277-8583 (Kavli IPMU, WPI)
  10
       Texas Cosmology Center and Dept. of Astronomy, Univ. of Texas, Austin, 2511 Speedway, RLM 15.306,         15
                                                   Eugenio Paoloni INFN & Università di Pisa
Temperature Fluctuations of The Early Universe As Seen Now

              WMAP (NASA). Temperature Range +/- 200 μK
                                                                  16
                      Eugenio Paoloni INFN & Università di Pisa
spherical harmonics
Angular Correlations of The Temperature Fluctuations
                                                            TT
                                                                                    T     T

    TT
                              T     T

                                                                                                       NASA / WMAP Scienc

         Fig. 32.— The nine-year WMAP TT angular power spectrum. The WMAP data are in
         black, with error bars, the best fit model is the red curve, and the smoothed binned cosmic
         variance curve is the shaded region. The first three acoustic peaks are well-determined.
                                                                                                                  17
                                        Eugenio Paoloni INFN & Università di Pisa
Cosmological Parameter            Summary
              Table 17. Cosmological Parameter Summary ( PDG )

                          Parameter                           Symbol              WMAP a             WMAP+eCMB+BAO+H0 a         b

                   6-parameter ΛCDM fit parametersc
        Physical baryon density                     Ωb h2                     0.02264 ± 0.00050          0.02223 ± 0.00033
        Physical cold dark matter density           Ωc h2                      0.1138 ± 0.0045            0.1153 ± 0.0019
        Dark energy density (w = −1)                ΩΛ                          0.721 ± 0.025              0.7135+0.0095
                                                                                                                 −0.0096
                                               −1
        Curvature perturbations (k0 = 0.002 Mpc ) d 109 ∆2R                      2.41 ± 0.10               2.464 ± 0.072
        Scalar spectral index                       ns                          0.972 ± 0.013             0.9608 ± 0.0080
        Reionization optical depth                  τ                           0.089 ± 0.014              0.081 ± 0.012
        Amplitude of SZ power spectrum template     ASZ                        < 2.0 (95% CL)             < 1.0 (95% CL)
              6-parameter ΛCDM fit: derived parameterse
        Age of the universe (Gyr)                             t0                 13.74 ± 0.11             13.772 ± 0.059
        Hubble parameter, H0 = 100h km/s/Mpc                  H0                  70.0 ± 2.2                69.32 ± 0.80
        Density fluctuations @ 8h−1 Mpc                       σ8                0.821 ± 0.023               0.820+0.013
                                                                                                                  −0.014
        Velocity fluctuations @ 8h−1 Mpc                      σ8 Ω0.5
                                                                  m             0.434 ± 0.029              0.439 ± 0.012
        Velocity fluctuations @ 8h−1 Mpc                      σ8 Ω0.6
                                                                  m             0.382 ± 0.029              0.387 ± 0.012

        Baryon density/critical density                       Ωb                0.0463 ± 0.0024           0.04628 ± 0.00093
        Cold dark matter density/critical density             Ωc          – 130 –0.233 ± 0.023              0.2402+0.0088
                                                                                                                  −0.0087
                                                                                                                  +0.0096
        Matter density/critical density (Ωc + Ωb )            Ωm                 0.279 ± 0.025              0.2865−0.0095
        Physical matter density                               Ωm h2             0.1364 ± 0.0044            0.1376 ± 0.0020
        Current baryon density (cm−3 )f                       nb            (2.542 ± 0.056) × 10−7     (2.497 ± 0.037) × 10−7
        Current photon density (cm−3 )g                       nγ                 410.72 ± 0.26              410.72 ± 0.26
        Baryon/photon ratio                                   η              (6.19 ± 0.14) × 10−10    (6.079 ± 0.090) × 10−10

        Redshift of matter-radiation equality                Table
                                                             zeq   17—Continued
                                                                        3265+106
                                                                            −105                             3293 ± 47
        Angular diameter distance to zeq (Mpc)                dA (zeq )          14194 ± 117                 14173+66
                                                                                                                  −65
        Horizon scale at zeq (h/Mpc)                          keq             0.00996 ± 0.00032          0.01004 ± 0.00014
                          Parameter                         Symbol                  WMAP a                 WMAP+eCMB+BAO+H0 a b
        Angular horizon scale at zeq                          leq                139.7 ± 3.5                140.7 ± 1.4
          Tensor    spectral  indexl
        Epoch   of photon  decoupling                       zn∗t              > 1090.97
                                                                                −0.048+0.85
                                                                                          (95% CL)
                                                                                        −0.86
                                                                                                               > −0.016
                                                                                                          1091.64  ± 0.47 (95% CL)
                                                                                          +0.044                            +0.0039
          Curvature
        Age  at photon(1   − Ωtot )m(yr)
                         decoupling                         tΩ∗k                 −0.037
                                                                                376371 +4115
                                                                                          −0.042           374935−0.0027
                                                                                                                  +1731
                                                                                                                            −0.0038
                                                                                       −4111                      −1729
          Fractional
        Angular         Helium
                  diameter       abundance,
                            distance            by hmass
                                      to z∗ (Mpc)           dYAHe(z∗ )
Ok… let’s say that DM exists,
            what
 the heck is it anyhow ???
What we Do Know After an 80 Years Long Investigation?
                                                                            :`+B2H :2HKBMB@l*G

 7i2` 3y v2`b- r?i r2 FMQr #Qmi .J,
 ̫ ii`+iBp2 ;`pBiiBQMH BMi2`+iBQMb M/ bi#H2 UQ` HB72iBK2  ॺॢ V
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     Udz6mxxv .JǴ- #QbQM /2 "`Q;HB2 rp2H2M;i?4 R FT+ >m- "`FM- :`mxBMQp- bi`Q@T?fyyyjje8V
     Q` yXk@yXd ƓRyХ :2oѷ Kbb U7Q` T`iB+H2b r?B+? `2+?2/ 2[mBHB#`BmK @ /2T2M/BM; QM
     #QbQM@72`KBQM M/ /XQX7X h`2KBM2@:mMM RNdNc J/b2M- bi`Q@T?fyyyeyd9V

 .J T`iB+H2 Kbb, 3y Q`/2`b Q7 K;MBim/25

 GL:a- P+iQ#2` kR- kyR9                                                                         e   20
                                Eugenio Paoloni INFN & Università di Pisa
Hopefully DM Interacts with Ordinary Matte
      KIS (Keep It Simple)/
        Occam’s Razor:
        WIMP - Nucleus
        Elastic Collision

                   40
                        Ar Kin En (keV)
                                                     Max Transferred Energy

 Ar                      150
                 WIMP

                         100
  Ar

          WIMP

                          50

                                                                                      DM Mass (GeV)
                                1         10           100           1000       104
Use neutrons to mimic
        WIMPs
   for calibrations                                                                               21
                                    Eugenio Paoloni INFN & Università di Pisa
Two Phases Time Projection Chamber (Darkside 50)

 Electric
 Field: Multipl.
 (4200 V/cm)

                                                               Electric
                                                               Field: Drift
                                                               (200 V/cm)

                                                                              22
                   Eugenio Paoloni INFN & Università di Pisa
The Prompt Signal

           ~ 40 primary photons UV (128nm) / keV                23
                    Eugenio Paoloni INFN & Università di Pisa
The Delayed Signal

                                                             24
                 Eugenio Paoloni INFN & Università di Pisa
The Darkside PMT array and the whole TPC

                                                             25
                 Eugenio Paoloni INFN & Università di Pisa
Backgrounds

➤   We are looking for extremely rare events consisting of a few
    10s of keV released in the detector, that is a few tens of
    photons on the PMT
➤   The signal must come out of the blue in the core of the
    detector
    ➤   radioactive decays inside the detector                        Clean Construction

    ➤   neutrons ( cosmogenic, radiogenic )
                                                                               Shielding+Veto +
    ➤   γ rays                                                                  Background
                                                                                   rejection
    ➤   neutrino - electron scattering
    ➤   neutrino floor (coherent neutrino - nucleus scattering)

                                                                                                  26
                          Eugenio Paoloni INFN & Università di Pisa
Backgrounds                                                                                                                   [30-200] keVr
                                                    Backgrounds

                                                                                                                          NUCLEAR
      ELECTRON
                                                                                                                           RECOILS
       RECOILS
                                                                                                                          μ
                                            n
            39Ar                                                      n                                            ~30 evt/m2/day
~9x104 evt/kg/day                                      α         39Ar
                                                                                  μ                               Radiogenic n
                                                                     γ                                         ~6x10-4 evt/kg/day
        γ
~1x102 evt/kg/day                                                                                                         α
                                            γ                                                                      ~10 evt/m2/day

                        100 GeV, 10-45cm2 WIMP Rate ~ 10-4 evt/kg/day
  07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste       D. D'Angelo - The DarkSide physics program and its recent results     27
                                                                                                                                         27
                                                Eugenio Paoloni INFN & Università di Pisa
Darkside 50 Vetos Systems
                DarkSide-50
                  Housed in CTF
          Borexino CounLng Test Facility

  Radon-free (Rn levels < 5 mBq/m3)
          Clean Room

     1,000-tonne Water-based
    Cherenkov Cosmic Ray Veto

   30-tonne Liquid ScinLllator
      Neutron and γ’s Veto

            Inner detector TPC

   07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste     D. D'Angelo - The DarkSide physics program and its recent results   5
                                                                                                                                          28
                                                  Eugenio Paoloni INFN & Università di Pisa
a s s o
Gr   an S

                    Under 3800 meters
                    of equivalent water
                         shield in
                           LNGS
Pulse Shape Discrimina8on
 Electron
Pulse     and nuclear
        Shape
          Electron        recoils
                    Discrimination
                   and nuclear     produce
                               recoils         different
                                       produce different    excitaLon
                                                        excitaLon       densiLes
                                                                  densiLes           in the argo
                                                                           in the argon,
  leading to different
           leading        ra8os
                   to different    of of
                               ra8os singlet
                                        singlet and  triplet
                                                and triplet    excita8on
                                                            excita8on states states

                       τsinglet ~ 7 ns
               τsinglet ~ 7 ns
                       τtriplet ~ 1500 ns
               τtriplet ~ 1500 ns

                                    Electron Recoil

                        Electron Recoil

                                                                                                                  Averaged Wave forms

                                     Nuclear Recoil
                                                                                                                                 Averaged Wave fo

                 07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste   D. D'Angelo - The DarkSide physics program and its recent results        8
                         Nuclear Recoil                                         Different singlet/triplet excitations ratio.
                                                                                 Electron recoil pulse shape is longer

                                                                                                                                                  30
                                         Eugenio
   07/03/16 - Les Rencontres de Physique de      Paoloni
                                            la Vallée    INFN & Università
                                                      d'Aoste           D. di Pisa - The DarkSide physics program and its recent results
                                                                           D'Angelo
(663 keV)              137Cs
Calibration
          •
            And  Cross-checks
                CALIS
              Neutron source: AmBe
      CALibraLon
             CALISInserLon System
         CALibraLon InserLon System
Calibrate both TPC and Neutron veto
 Calibrate
  •        both TPC
        Gamma       and Neutron
                 sources:        vetokeV), 133Ba (356 keV),
                          57Co (122                            NR band matches with the points extr
   •     Gamma    sources: 57Co (122 keV), 133Ba (356 keV),
          137Cs (663   keV)
         137Cs (663 keV)

  ••      Neutron
         Neutron      source:
                   source: AmBeAmBe   NR study (crosscheck of SCENE data)
                    NR band matches with the points extrapolated from SCENE.
                        NR band matches with the points extrapolated from SCENE.
       NR study (crosscheck of SCENE data)                                                           Test of the MC code
       NR study (crosscheck of SCENE data)                                                                                            Test of the MC code
                                                    NR band                                                                                               Signal Band
              NR band

                NR band

              ER band

                ER band
                                                    ER band                                                                                               Bkg. Band
  07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste      D. D'Angelo - The DarkSide physics program and its recent results           15

 07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste                           D. D'Angelo - The DarkSide physics program and its recent results            3115
                                                               Eugenio Paoloni INFN & Università di Pisa
Argon Isotopical Composition

➤ 39Ar  (Cosmogenic Isotope ) is a
    contaminant of Argon extracted from
    atmosphere
    ➤   β emitter
        (565 keV head of the spectrum)
                                                                        darkside 50
    ➤   Intrinsic radioactivity 1Bq/kg
        ➤   Limiting factor for multi ton detectors                             S2
                                                                           e-
➤   The activity of Argon from the deep
    underground CO2 mine in Colorado is                                         S1
    ~ 150 times lower
➤   Distillation plant produces 0.5 kg/d of
    underground Argon (uAr)                                    WIMP
                                                                                      32
                            Eugenio Paoloni INFN & Università di Pisa
Underground Ar
                                                    1. Extrac8on at Colorado (CO2 Well)
                                                    Extract a crude argon gas mixture (Ar, N2, and
                                                      He)

Plant at Colorado

                                           2. Purifica8on at Fermilab
                                           Separate Ar from He and N2

                                                                                                          DisLllaLon Column at
                                                                                                                      Fermilab
                                                    3. Arrived at LNGS
UAr boSles at LNGS                                  Ready to fill into DS-50
 07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste   D. D'Angelo - The DarkSide physics program and its recent results   18
UAr vs Atmospheric
                UArArgon
                      First(AAr)
                             Results
 AAr vs UAr. Live-Lme-normalized S1 pulse integral spectra at Zero field.
                                 10−1
     Events / [50 PE × kg × s]

                                                                                      AAr Data                          UAr Data
                                                                                                                        39
                                                                                      MC Total                            Ar
                                 10−2                                                 85
                                                                                        Kr                              238
                                                                                                                             U Cryostat
                                                 ~1/1400                              238
                                                                                           U Fused Silica               232
                                                                                                                             Th Cryostat
                                                                                      232                               232
                                                                                           Th Fused Silica                   Th PMT Stem
                                   −3
                                 10               ~1/300                              60
                                                                                       Co Cryostat                      40
                                                                                                                         K PMT Photocathode
                                                                                      235                               222
                                                                                           U PMT Stem                        Rn TPC
                                                                                      54
                                   −4                                                  Mn PMT Stem
                                 10

                                 10−5

                                 10−6

                                 10−7

                                 10−8 0   2000   4000     6000       8000 10000 12000 14000 16000 18000 20000
                                                                                                                                      S1 [PE]
  Low level of 39Ar allows extension of DarkSide program to ton-scale detector.
  07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste                 D. D'Angelo - The DarkSide physics program and its recent results
                                                                                                                                                 34 19
                                                        Eugenio Paoloni INFN & Università di Pisa
Darkside with Underground Argon First results
                UAr First Results
No background events in nuclear recoil (WIMP) region!

                                                   WIMP Expected Region

  71 live-days aher all cuts. (2616±43) kg day exposure.
  Single-hit interacLons in the TPC, no energy deposiLon in the veto                                                               arXiv:1510.00702

  07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste       D. D'Angelo - The DarkSide physics program and its recent results            20
                                                                                                                                                35
                                                  Eugenio Paoloni INFN & Università di Pisa
Darkside 50 Exclusion
σ [cm 2]
                      Region
                 UAr First Results

                                                                                                                                     01 4)
                                                                                                                                   2
             −42                                                                                                           AA r,
           10                                                                                                     - 50
                                                                                                                         (
                                                                                                                                       5)
                                                                                                              d e                   01
                                                   WARP (2007)
                                                                                                         arkSi                r, 2 d)
                                                                                            1)         D                 (U A       ne
                                                                                         01                            0        b i
                                                                                      (2                         d e -5   ( com
                                                                                  I
                                                                          I N-II                         ar kSi e-50
                                                                        L                              D         id
             −43                                                    ZEP                                      k S
           10                                                                 )
                                                                                                        Dar
                                                                          5
                                                                    ( 201
                                                                  O
                                                              PIC

                                   CDMS (2015)
           10−44
                                   PandaX-I (2015)
                                                                          12)
                                                                  0  (20
                                                                0
                                                            ON1
                                                      XEN
                                                                    5)
           10−45                                        U X  (2 0 1
                                                      L

                10                                  102                                          103                             104
                                                                                                                    Mχ     [GeV/c2]

Best limit to date, with argon target, third best limit behind LUX & Xenon100.
 07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste            D. D'Angelo - The DarkSide physics program and its recent results      21
                                                                                                                                             36
                                                 Eugenio Paoloni INFN & Università di Pisa
SiPM

  Ok…
What Next?

             SiPM
Future Searches using 2 phases Argon TPC
                                            Expected sensi8vity
    ➤       Longer exposure, then larger detector
           10−41
σ [cm 2]

                                                                                                              )
                                                                                                     (2007                               )
                                                                                             W A R P
                                                                                                                               O (2015
           10−42                                                                                                         P I C
                                                                                2 014    )
                                                                            I (                                              15)
                                                                  Pan  daX-                                              (2 0
           10−43                                                                                                  ide-50
                                                                                                         DarkS                                 )
                                                                                                                            yr proj.
                                      CDMS                                     )                                  e - 50 (3
           10−44                       (2015)                   1 0 0 (2012                             DarkS
                                                                                                              i d
                                                        XEN  ON

                                                                2013   )
             −45                                              (
           10                                           L U X

           10−46                                                                                                                          )
                                                                                                                              y r  proj.
                                                                                                                 k  ( 1 00 t
           10−47                                                                                    k S i d e-20
                                                                                                Dar                                   oj.)
                                                                                                                             y r  p r
                                                                                                                 ( 1 0 00 t
           10−48                                                                                          Argo

           10−49

           10−50
               10                                    102                                         103                             104
                                                                                                                       M χ [GeV/c2]
     07/03/16 - Les Rencontres de Physique de la Vallée d'Aoste            D. D'Angelo - The DarkSide physics program and its recent results       3824
                                                      Eugenio Paoloni INFN & Università di Pisa
Darkside Past, Present, Future
➤   2010-2012; DS-10 at Princeton-> LNGS 10 kg normal Ar not radiopure, water-block
    shielding, 8 PMTs
➤   2013-present; DS-50 at LNGS
    153 kg total, 36.9 kg fiducial
    radiopure construction, UAr target (arXiv 1204.6024; see below) high efficiency
    neutron shield/veto
    currently: > 4000 kg-day analyzed, planned exposure 3 years
          -44
    8.6x10 cm2 @ 1 TeV/c2, world's 3rd best current limit
➤   ~2020 DS-20k at LNGS (proposed to NSF & INFN 2015)
    30 ton total, 20 ton fiducial
    radiopure construction, Depleted Ar target, SiPM sensors high efficiency neutron
    shield/veto
                                     -47   -46
    100 ton-year planned exposure 10 (10 ) cm2 at 1(10) Tev/c2
➤   202x ARGO at LNGS
    1000 ton-year planned exposure
    to reach the solar ν coherent scattering floor detailed solar ν studies possible
    (arXiv 1510.04196)

                                                                                       39
                                 Eugenio Paoloni INFN & Università di Pisa
Toward a MultiTonne Background Free 2 Phases Ar TPC
➤   Background free:
    ➤   Darkside 50 collected 47.1 live days (1422 kg x day fiducial) of Atmospheric Argon
        data
    ➤   The sample corresponds to the expected background of
        180 live years of UAr operations
                                                                             39
    ➤   Darkside demonstrated complete background rejection of                    Ar bkg. at level of 5.5
        ton x year
➤   Project Urania (Underground Argon):
    ➤   Expansion of the argon extraction plant in Cortez, CO, to reach capacity of 100
        kg/day of UArg
➤   Project Aria (UAr Purification):
    ➤   100s meters tall distillation column in the Seruci mine (Sardinia) for further
        reduction of UAr contaminants
    ➤   First test facility funded by INFN, Sardinia regional funds for the construction of
        the complete facility

                                                                                                            40
                                 Eugenio Paoloni INFN & Università di Pisa
Photo sensors

➤   Replace PMT with SiPM
    ➤   Pros:
        ➤   Cheaper
        ➤   More efficient
            (filling factor)
        ➤   More radiopure
    ➤   Cons:
        ➤   15 m2 of SiPM arrays: hundred thousands of devices
        ➤   Cold front end electronic to sum SiPM output
        ➤   Intense R/D ongoing
                                                                           41
                               Eugenio Paoloni INFN & Università di Pisa
SiPM At Cryogenic Temperature
         Big R&D News-           Can
                       Dark Rate at 87 be
                                       K Quie

                                                               42
                   Eugenio Paoloni INFN & Università di Pisa
Conclusions

➤   I tried to cover lot of material today
    ➤   The astrophysical and cosmological evidences of the
        existence of Dark Matter together with an estimate of the
        local density
    ➤   The concept of 2 phases noble gas TPC for DM searches
    ➤   The main characteristics of a prototypical TPC: Darkside
    ➤   The latest results from Darkside
    ➤   The plans for the next generation of Darkside
➤   I hope you survived the tour de force

                                                                     43
                         Eugenio Paoloni INFN & Università di Pisa
s of galactic rotation curves, but seem to run into conflict with the results of

  e and collaborators [41].
  a convergent determination
                                    DM halo profiles
   ations. On the other hand, profiles steeper that NFW had been previously

                             Angle fromofthethe
                                              GCactual
                                                     degrees⇥DM profile is not reached, it is

        From N-body numerical simulations:
   t disposal10the30⇤⇤whole    range
                               5⇤ 10⇤ of
                                      30⇤ these
                                          1o 2o possible
                                                    5o 10o20o45choices  when computing Dark
               ⇤⇤
                       1⇤                                       o

   n the Milky Way. The functional forms of these profiles read:
         104              Moore
                                                 ⇤            ⌅ 2
           3
         10NFW :NFW
                                             r s           r                   DM   halo              r s [kpc]   ⇥ s [GeV/cm  3
                                                                                                                                 ]
                       ⇥NFW (r) = ⇥s                1+
⇥DM GeV⇤cm3 ⇥

                       Einasto
                                             r
                                           EinastoB
                                                          rs
         102                                        ⌥        ⇧⇤ ⌅        ⌃     NFW                        24.42        0.184
                                                         2       r
        Einasto
          10
                   : ⇥Ein (r) = ⇥s exp                                  1      Einasto         0.17       28.44        0.033
                                                                rs             EinastoB        0.11       35.24        0.021
                                Iso              ⇥
           1
     Isothermal    :      ⇥Iso (r) =
                                                   s
                                                         2
                                                                               Isothermal(1)               4.38        1.387
               ⇥                      Burkert
                                         1 + (r/rs )
        10 1                                                                   Burkert                    12.67        0.712
                                                         ⇥s
        Burkert : ⇥Bur (r) =                                    r     2
                                                                               Moore                      30.28        0.105
        10 2                             (1 + r/rs )(1 + (r/rs ) )
                                                           ⇤ 10 ⌅ 1.84 2
                 10 3       10 2       10 1 rs ⇥1.16  1            r    10                          Angle from the GC degrees⇥
          Moore : ⇥Moo (r) = ⇥s                              1+
                                        r kpc⇥r                    rs                10⇤⇤ 30⇤⇤ 1⇤    5⇤ 10⇤ 30⇤ 1o 2o 5o 10o20o45o

    Figure
      At small1:r:that
   simulations       DM          includeand
                         tryprofiles
                       (r)   to1/r          the the   corresponding
                                                 effects   of the existence parameters
                                                                                    104 to
                                                                               of baryons       be plugged
                                                                                             have   Moore in the functional forms
    of modified
   nd   eq. (1). profiles
                    The dashed      lines
                             that are        represent
                                        steeper    in the the   smoothed
                                                            center            functions
                                                                    with respect    to theadopted
                                                                                       3
                                                                                             DM-      for some of the computations
  s in
     [42].   Most   recently,  [43]that
                                    has we found   such   a trend2 re-simulating    10         NFW
         Sec.   4.1.3.   Notice                here   provide        (3) decimal the
                                                                    ⇥DM GeV⇤cm3 ⇥          haloes digits for the value of r (⇥ ):
                                                                                      significant                               s    s
        6 profiles:
   eper Einasto profiles (smaller ) are obtained when baryons are
    this precision is sufficient for most computations, but more
   this possibility we include a modified Einasto profile (that we denote as
                                                                                           added.
                                                                                    102 would be  Einasto            EinastoB
                                                                                                     needed for specific    cases, such
   nasshort
         to precisely     reproducewiththe         factors (discussed
                                           an J parameter       of 0.11. Allinprofiles
                                                                                 Sec.5)     for small angular regions around the
  etry   cuspy: NFW, Moore
    Galactic
         2
              in the following)
            and rCenter.
                   is the coordinate centered in the Galactic Center.
                                                                                     10 assume
                                                                                                         Iso
                                                                                       1
         mild: Einasto
   betterNext,
            approximated
                   we needas triaxial ellipsoids instead
                                to determine          the(e.g.  [44]). For thercase
                                                             parameters
                                                                                           ⇥
  ulations show that in general halos can deviate from this simplest form, and the isodensity
                                                                                   10oftypical
                                                                                       1 the Milky
                                                                                                                Burkert
                                                                                s (a              scale radius) and s (a typical
         smooth: isothermal, Burkert
  s fair to say that at the moment we do not have good observational determinations of its
    scalealready
    efforts   density)
                     madethat     enter
                           studying        in each
                                     the stellar  tidal of  theseseeforms.
                                                        streams,               Instead
                                                                      [45]. Thus  the
                                                                                   10
                                                                                            of taking
                                                                                      assumption
                                                                                       2                them    from   the          r
                                                                                                                            individual
    simulations, we fix them by imposing that the resulting                                  10 3profiles
                                                                                                       10 2 satisfy
                                                                                                                 10 1 the findings    of
         EinastoB = steepened Einasto
      astrophysical observations of the Milky Way.                      Namely, we require:
                                                                                                                             1       10    102
                                  (effect
                                     5 of baryons?)                                                           r kpc⇥
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