colafrancesco - dark matter dectection 1
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Dark Matter detection (1)Dark Matter detection (1)
CTICS 2012 CTICS 2012 Jan 24th, 2012
Sergio ColafrancescoSergio Colafrancesco Wits UniversityWits University - - DST/NRF SKA Research ChairDST/NRF SKA Research Chair INAF - OARINAF - OAR EmailEmail: [email protected] [email protected]
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Dark Matter exists !
Dark Matter Proof Found, Scientists Say
A team of researchers has found the first direct proof for the existence of dark matter, the mysterious and almost invisible substance thought to make up almost a quarter of the universe.In this composite image, two clusters of galaxies are seen after a collision. Hot gas, seen in red, was dragged away from the galaxies during the collision. That gas makes up more than 90 percent of the mass of normal, or visible, matter. But most of the mass—and thus matter—is located in the galaxy portions of the clusters, shown in blue, scientists say. In other words, the bulk of visible matter in the clusters has been separated from the majority of mass—which therefore must be dark matter.
[F. Zwicky 1933]
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Dark Matter exists ! … or not !?
Dark Matter Proof Found, Scientists Say
A team of researchers has found the first direct proof for the existence of dark matter, the mysterious and almost invisible substance thought to make up almost a quarter of the universe.In this composite image, two clusters of galaxies are seen after a collision. Hot gas, seen in red, was dragged away from the galaxies during the collision. That gas makes up more than 90 percent of the mass of normal, or visible, matter. But most of the mass—and thus matter—is located in the galaxy portions of the clusters, shown in blue, scientists say. In other words, the bulk of visible matter in the clusters has been separated from the majority of mass—which therefore must be dark matter.
Dark matter does not exist ! Einstein wins again!
J. Moffat suggests that his Modified Gravity (MOG) theory can explain the Bullet Cluster observation. MOG predicts that the force of gravity changes with distance.Moffat thinks that the present day expectation by many that dark matter must exist is similar to the expectation by many leading scientists in the beginning of the 20th century that a "luminiferous ether" should exist. This was a hypothetical substance, in which the waves of light were supposed to propagate
J. Moffat and colleagues suggest that there is a good reason dark matter why has never been directly detected: It doesn't exist .
[F. Zwicky 1933]
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Dark Matter Modified G
Gµν=8πG(TMµν+TDM
µν+ΤDEµν) F(gµν)+Gµν=8pG TM
µν
Fundamental Physics - Astronomy connectionFundamental Physics - Astronomy connection
−+−=Φ
3)/exp(1
43)(
1
LrR
GMa
r
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Multi-messenger Multi-experiments
Multi-wavelength
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Multi-messenger
Multi-wavelength
Multi-experiments
Multi-scale Multi-epoch
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OutlineMulti-epoch
The Dark Matter TimelineThe present
Multi-Scale + M3
Galactic centerGalactic structuresGalaxy Clusters
The FutureThe DM search challenge
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OutlineMulti-epoch
The Dark Matter TimelineThe present
Multi-Scale + M3
DM search at various astronomical scales• Galactic center• Galactic structures• Galaxy Clusters
The FutureThe DM search challenge
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Dark Matter timeline
Fritz Zwicky[Varna (Bulgaria), 1898 – Pasadena (USA), 1974]
skmV /)3601019( ±≈σ
558400 hLM ⋅≈
Zwicky used the words “dunkle (kalte) Materie” dark (cold) Matterwhich might be regarded as the first reference to Cold Dark Matter… even though not in the modern sense (!?)
Coma02 =+ UT
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Dark Matter timeline
1936 - Smith noticed that also the Virgo cluster exhibited a behavior suggestive of an extremely high mass.
1939 - Babcock noticed that the outer regions of M31 were rotating with an unexpectedly high velocity indicating a missing mass.
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Dark Matter timeline
Local Dark Matter
Öpik (1915)Oort (1932, 1960)Kuzmin (1952, 1955)Eelsalu (1959)Jõeveer (1972, 1974)Bahcall (1985)Gilmore et al (1989)
Global Dark Matter
Zwicky (1933)
Zwicky discovered what so many scientists find when probing the depths of the current and accepted knowledge of the times. What Zwicky uncovered was considered an anomaly. Zwicky, who did not particularly belong to the astronomical community, was making a claim that could overthrow present knowledge of the universe. It was not the right time for the astronomical community to accept such a revolutionary idea.
1910’s Ernst Öpik & wife Grigory Kuzmin
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Dark Matter timeline
1959 - Kahn & Woltjer published their discovery of a missing mass in the Local Group ( hot gas with T ∼ 5·105 K )Interestingly enough, they did not cite Zwicky’s (1933) paper.
1961 - The renaissance of Dark Matter truly began with the Santa Barbara Conference on the Instability of Santa Barbara Conference on the Instability of GalaxiesGalaxies. By this time, enough research was done for the community to see that the missing mass anomaly was not going to go away.
“When... an anomaly comes to seem more than just another puzzle of normal science, the transition to crisis and to extraordinary science has begun” (Kuhn).
Vera Rubin working at the Ford spectrograph (1955)
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Dark Matter timeline
1975 – By this time the majority of astronomers had become convinced that missing mass existed in cosmologically significant amounts.Uncertainty on the Dark Matter nature remained !!!
1980 - Experimental results on the neutrino rest mass were announced.
1977 – Rees speculated that “there are other possibilities of more exotic character – for instance the idea of neutrinos with small (∼few eV) rest mass”
Jim Peebles explains the secrets of galaxy formation to Scott Tremaine (Tallinn 1977)
Zel’dovich & Longair
(Tallinn 1977)
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Dark Matter timeline
1980’s – The Cold Dark Matter model with axions or other weakly interactive particles WIMPwas as an alternative to neutrino models (providing the Hot Dark Matter).
A high-resolution CDM simulation with small-scale structure
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Dark Matter timeline
1990’s – Dark Matter distribution in clusters can explain the gravitational lensing of background galaxies.
J. Soldner 1804
A. Einstein 1911
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False Alarms & Diversionary Manouvres
1987 – One particularly interesting dissenter: M.Milgrom. He believed that the existence of the DMimplied that Newton’s law of gravity must be amended for gravitational accelerations that are very small, such as the gravitational accelerations seen in a galaxy’s outer fringes. Bekenstein followed up Milgrom’s idea in TeVeS model
J. Oort (1960, 1965) believed that he had found some dynamical evidence for the presence of missing mass in the disk of the Galaxy. If true, this would have indicated that some of the DM was dissipative in nature. However, late in his life, Oort confessed that the existence of missing mass in the Galactic plane was never one of his most firmly held scientific beliefs. Detailed observations, (reviewed by Tinney 1999), show that brown dwarfs cannot make a significant contribution to the density of the Galactic disk near the Sun.
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Dark Matter timeline
1992-99 – Dark Matter is a main ingredient of the cosmic fluid and its effect is present in the CMB anisotropy spectrum .
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Dark Matter timeline
1990-2000 – Naissance of Astroparticle – Dark Matter physical connection.
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The Dark Matter Scenario: timeline
2010
Astro
nom
yCo
smol
ogy
Parti
clePh
ysics
Missing massDynamics
Rotation curves
N-body simulations Lensing CMB
ν2m∆
Sterile ν
ν - mass theo. & exp. SUSY
SUSY AXION
Beyond the SM
Astro
Par
ticle
Phys
ics
1977Thermal relics
(Lee & Weinberg)1984
Indirect DM search idea(SIlk & Srednicki)
1985Direct DM experiments
(Goodman & Witten)
Today
!?
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The Present
“The Present and the bubbles of Time" - Oil and acrylic on thin cardboard (B. D’Aleppo)
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Dark Matter Scenario: motivations
WMAP
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DM & CMB
Generic ΛCDM WMAP 7yr
236.0222.0 ≤Ω≤ DM
0035.01123.02 ±=Ω DMh
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DM distribution in cosmic time
Dark Matter grows increasingly 'clumpy' as it collapses under
gravity.
The map stretches halfway back to the beginning of the universe
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DM relic density
AV
scmhσχ
13272 103 −−−⋅≈ΩFreeze-out
WIMPs in thermal equilibrium
HVnx ≈σ
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Formation of DM halos
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DM: the most palpable proof
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DM: the most palpable proof
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DM properties: 5 basic
Dissipationless
Collisionless
Cold
Fluid
Classical
No constraint on the space of possibilities
Upper bound
Lower bound
Very weak e.m. interactionsno radiative cooling
DM self-interaction only athigh ρ and short relative D
MX > 1 keV thermalMX smaller non-thermal
No DM discreteness on galactic scales
eVM X717010 −≤
DM confinedon galactic scales
eVM 2210−≥χ
Dar
k M
atte
r
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DM candidates“Fuzzy” CDM
Axions
Neutrinos
Light (MeV) DM
SUSY DM
Dar
k M
atte
rM
WIM
P
Extra dimension
Branons
Mirror Matter
PBHs
Lower possible end of CDMBosons with M∼10-22 eV
Non-thermal productionµ eV < Maxion < m eVExperimental limits
Warm DM 0.0005 < Ων h2< 0.0076Massive neutrinos acceptableSterile ν with mν ∼ 10-100 keV
Gravitinos
Neutralinos
Sneutrinos
Axinos
Q-balls
Split-SUSY
Kaluza-Klein excitationsL-KK (r-parity) particle: stableMKK ∼1 TeV
String theory brane fluctuationsMbranon > 100 GeV
Ordinary matter in mirror worldDissipative & complex chemics
BHs @ quark-hadron transitionMPBH ∼Mhorizon(T=102MeV) > M
WIMPzillas
Chaplygin Gas
Produced at the end of Inflation M > 1013 GeV
DM-DE common originP = - A / ρ
Spin = 0 supersymmetric particle1 MeV < MLDM < 4 MeVElusive: only e± 511 keV line Neutralinos
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Viable DM candidates Light (MeV) DMNeutralinos Sterile ν’s
Unstable
Radiative decay: line
νs → να + γ
13.009.0 2 ≤Ω≤ hDM
AV
scmhσχ
13272 103 −−−⋅≈Ω
In supersymmetry models, all Standard Model particles have partner particles with the same quantum numbers but spin differing by 1/2. Since the superpartners of the Z boson (zino), the photon (photino) and the neutral higgs (higgsino) have the same quantum numbers, they can mix to form four eigenstates of the mass operator called "neutralinos". In many models the lightest of the four neutralinos turns out to be the lightest supersymmetric particle (LSP).
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Viable DM candidates Light (MeV) DMNeutralinos Sterile ν’s
Unstable
Radiative decay: line
νs → να + γ
13.009.0 2 ≤Ω≤ hDM
AV
scmhσχ
13272 103 −−−⋅≈Ω
Scalar (spin=0) particles may be DM candidates, provided they annihilate sufficiently strongly through new interactions, such as those induced by a new light neutral spin-1 boson U. The corresponding interaction is stronger than weak interactions at lower energies, but weaker at higher energies. Annihilation cross sections of (axially coupled ) spin-1/2 DM particles, induced by a U vectorially coupled to matter, are the same as for spin-0 particles. In both cases, the cross sections (σannVrel/c) into e+e− automatically include a v2
dm suppression factor, needed to avoid an excessive production of γ-rays from residual DM annihilations. Spin-0 DM particles annihilating into e+e− have been claimed to be responsible for the bright 511 keV γ-ray line observed by INTEGRAL from the galactic bulge.
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Viable DM candidates Light (MeV) DMNeutralinos Sterile ν’s
Unstable
Radiative decay: line
νs → να + γ
13.009.0 2 ≤Ω≤ hDM
AV
scmhσχ
13272 103 −−−⋅≈Ω DecayThe term sterile neutrino was coined by Bruno
Pontecorvo who hypothesized the existence of the right-handed neutrinos in a seminal paper (1967), in which he also considered vacuum neutrino oscillations in the laboratory and in astrophysics, the lepton number violation, the neutrinoless double beta decay, some rare processes, such as μ → e γ, and several other questions that have dominated the neutrino physics for the next four decades. Most models of the neutrino masses introduce sterile (or right-handed) neutrinos to generate the masses of the ordinary neutrinos via the seesaw mechanism.
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Viable DM candidates Light (MeV) DMNeutralinos Sterile ν’s
Unstable
Radiative decay: line
νs → να + γ
WMAP (95%)
Excl
uded
by
BB
N
Bremsstrahlung
in-flight annihilation
SNe
e- anomalous magnetic moment
Excl
uded
by
BB
NNo C
osmolo
gical D
M
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Hunt for the DM particle
DM exists: we feel its (gravitational) presence
DM is mostly non-baryonic: we must think of a specific search strategy
DM is very elusive: we must consider un-ambiguous evidence
Crucial Probes are required !
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Dark Matter probesAbove-the-ground
Under-ground
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DM direct search
χ
χ
ER
χχ
~ 10-30 keV
Elastic interaction on nucleus, typical χ velocity ~ 250 km/s
vsun= 230 km/sδ = 30o
vorb = 30 km/s
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DM direct search
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The first hint
There is evidence for a modulation in the DAMA data at 8.2 σ.
Compatible with what would be expected from some dark matter particles in some galactic halo
models.
Gran Sasso (Italy)
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Some of the latest results: CDMS II
Ahmed et al. arXiv:0912.3592v1
2 events in the observed signal region.Based on background estimate, the probability of observing two or more background events is ~23%.
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Some of the latest results: CoGeNT
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Some of the recent results: CRESST-II
[arXiv:1109.0702]
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DM direct search: criticalities
Effect of substructures on the local DM density
[Kamionkowski & Koushiappas 2008]
Experimental techniques Astrophysics
Assume a local DM densityand a DM halo structure
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DM search @ accelerators
“Well, either we’ve found the Higgs boson, or Fred’s just put the kettle on.”
CERN - Geneva
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LHC vs. direct detection experimentsAccelerator searches for DM are particularly promising … but even if WIMPs are found at the Large Hadron Collider (LHC), it will be difficult to prove that they constitute the bulk of the DM in the Universe.
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DM - Astrophysical probes
+
INFERENCE
Virial Theorem
Hydro Equilibrium
Gravitational lensing
PHYSICAL
,...,,0 pXX ±→+ π
ieXX ντµ ,,, ±±±→+
Annihilation Decay
γ+→ ixX
+
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DM - Astrophysical search
+
INFERENCE
Virial Theorem
Hydro Equilibrium
Gravitational lensing
PHYSICAL
,...,,0 pXX ±→+ π
ieXX ντµ ,,, ±±±→+
Annihilation Decay
γ+→ ixX
NOT CRUCIAL
Vulnerable against:
MOND: Modified Newtonian DynamicsTeVeS : Tensor-Vector-Scalar
Ordinary matter feels a transformed metric
CRUCIAL
Testable against:
Electromagnetic signals
DM illuminates thru its interaction
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DM - Astrophysical search
Clean and unbiased location in the sky Best Astrophysical Laboratories
Clear and specific SED in the e.m. spectrum Most specific e.m. signals
NO YES
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Viable DM candidates: signalsLight (MeV) DMNeutralinos
Annihilating MeV DM• Continuum: HXR/γ-rays• Line: e± annihilation
Radiative decay: line
νs → να + γ
511 keVMs
Mχ
Inverse Compton scatteringBremsstrahlung
Synchr.
Bremsstrahlung
π0
Sterile ν’s
No Cosm
ologica
l DM
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Viable DM candidates: signalsNeutralinos
Radiative decay: line
νs → να + γ
Sterile ν’s
Neutralino density profile~ (nχ · nχ)
~ ρ2DM
Sterile ν density profile~ nχ
~ ρDM
Annihilation
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Viable DM candidates: signalsNeutralinos
Radiative decay: line
νs → να + γ
Sterile ν’s
[ ]
×
⟩⟨∝
νχ
σρχ
ddEEf
VM
rD
F
ann
DM
L
);(
)(12
2
2
[ ]
×
⟩Γ⟨∝
ν
ρ
γ ddEME
Mr
DF
v
radv
DM
L
)(
)(12
DM annihilation flux DM decay flux
Astro physics
Particle physics
Annihilation
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Dark Matter halo structure
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[Sand et al. 2002]
MS2137-23
Cluster η1T η2T
A2029 0.5 2
A1689 1.3 1.6
A1835 0.9 1.1
MS1358 1.8 1.8[Bautz & Arabadjis 2002]
η
DM halo profile: constraints
no constraints on η !
[Dalal et al. 2003]
Galaxies Galaxy Clusters
NGC 6822
NFW
• No evidence for a density cusp at r < 0.2 kpc• NGC2976: η =0.27 at r < 1.8 Kpc [Simon et al. 2003]• Inner steeper profile ? [Gnedin & Primack 2003]
[Weldrake et al. 2002]
BH ?
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DM density universal profile
Numerical simulations (CDM)Different groups obtained similar results [Navarro et al. 2003, Reed et al. 2003, …]
Analytical fittingGeneral DM profile
Dwarfs Galaxies Clusters
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DM halo: smooth + clumps + BHsCluster of galaxiesCluster of galaxies
dSph GalaxydSph Galaxy
[CPU 2006]
[Berezinsky et al. 2006]
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Imagine a …
Galaxy Cluster of galaxies
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An astronomer’s view
Galaxy Cluster of galaxies
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A cosmologist’s view
Galaxy Cluster of galaxies
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Galaxy Cluster of galaxies
An Astroparticle Physicist’s view
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Theoretical description [Colafrancesco et al. 2006 A&A 455, 21–43]
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DM halo profileWe consider the limit in which the mean DM distribution can be regarded as spherically symmetric and represented by the parametric radial density profile
Two schemes are adopted to choose the function g(x) , with x=(r/a)
Assume that g(x) can be directly inferred as the function setting the universal shape of DM halos found in numerical N-body simulations. We are assuming, hence, that the DM profile is essentially unaltered from the stage preceding the baryon collapse, which is – strictly speaking – the picture provided by the simulations for the present-day cluster morphology.
[NFW 2004]
[Diemand 2005]
Scheme 1
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DM halo structure
The other extreme scheme is a picture in which the baryon infall induces a large transfer of angular momentum between the luminous and the dark components of the cosmic structure, with significant modification of the shape of the DM profile in its inner region. Baryons might then sink in the central part of DM halos after getting clumped into dense gas clouds (see El-Zant et al. 2001), with the halo density profile in the final configuration found to be described by a profile with a large core radius (see, e.g., Burkert 1995):
Once the shape of the DM profile is chosen, the radial density profile g(x) is fully specified by two parameters:
i) length-scale a ii) normalization parameter ρ. It is useful to describe the density profile model by other two parameters: the virial mass Mvir and concentration parameter cvir.
Scheme 2
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DM halo structureConcentration parameter
We introduce the virial radius Rvir of a DM halo of mass Mvir as the radius within which the mean density of the halo is equal to the virial overdensity Δvir times the mean background density
We assume that the virial overdensity can be approximated by an expression appropriate for a flat cosmology [Colafrancesco et al.’94,’97; Bryan & Norman ’98, …]
The concentration parameter is then defined as
with r−2 the radius at which the effective logarithmic slope of the DM profile is −2. • x−2 = 1 for the N04 profile • x−2 = 2−γ for D05• x−2 = 1.52 for the Burkert profile
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DM halo structureSince the first numerical results with large statistics became available (Navarro etal. 1996, 1997), it has been realized that, at any given redshift, there is a strongcorrelation between cvir and Mvir, with larger concentrations found in lighter
halos. This trend may be intuitively explained by the fact that mean overdensities in halosshould be correlated with the mean background densities at the time of collapse,and in the hierarchical structure formation model small objects form first, when theUniverse was indeed denser. The correlation between cvir and Mvir is relevant at two levels: • when discussing the mean density profile• when including substructures
[Bullock et al]
[ENS]
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DM Halo structureFor a given shape of the DM halo profile we fit of the parameters Mvir and cvir against the available dynamical constraints for the Coma cluster. We consider bounds on the cluster total mass at large radii and on density profile in its inner region. • Redshift-space caustics (Geller 1999)• HE condition (Hughes 1989)• Velocity moments of a tracer population (Binney & Mamon 1982)
[Colafrancesco et al. 2006 A&A 455, 21–43]
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DM Halo structure
ρ2DMρDM
Sub-structures
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DM Halo structureTo discuss substructures in a cluster, To discuss substructures in a cluster, analogously to the general picture introduced analogously to the general picture introduced above for DM halos, we label a subhalo through above for DM halos, we label a subhalo through
• virial mass virial mass MMs s • concentration parameter concentration parameter ccs.s.
• The subhalo profile shape is considered hereThe subhalo profile shape is considered here to be spherical and of the same form as for theto be spherical and of the same form as for the parent halo.parent halo.
• The distribution of subhalos in a DM halo isThe distribution of subhalos in a DM halo is taken to be spherically symmetrictaken to be spherically symmetric.
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DM Halo structureThe subhalo number density probability distribution can then be fully specifiedthrough Ms, cs and the radial coordinate for the subhalo position r.
The sub-halo mas function is [Diemand 2005]
A(Mvir) is derived imposing
The quantity Ps(cs) is a log-normal distribution in concentration parameters around a mean value set by the substructure mass.The 1σ deviation Δ(log10 cs) around the mean in Ps(cs), is assumed to be independent of Ms and of cosmology, and to be, numerically, Δ(log10 cs) = 0.14
ps(r) is the spatial distribution of substructures within the cluster.
(with a’>a) and normalized as:
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DM annihilation distributionFor any stable particle species i, generated promptly in the annihilation orproduced in the decay and fragmentation processes of the annihilationyields, the source function Qi(r, E) gives the number of particles per unit time, energy and volume element produced locally in space:
Npairs(r) is obtained by summing the contribution from the smooth DM component and the contributions from each subhalo
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DM annihilation distributionΔ2
Ms gives the average enhancement in the source due to a subhalo of mass Ms,Δ2 is the sum over all contributions weighted over the subhalo MF times Ms
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Viable DM candidates: signalsNeutralinos
Radiative decay: line
νs → να + γ
Sterile ν’s
[ ]
×
⟩⟨∝
νχ
σρχ
ddEEf
VM
rD
F
ann
DM
L
);(
)(12
2
2
[ ]
×
⟩Γ⟨∝
ν
ρ
γ ddEME
Mr
DF
v
radv
DM
L
)(
)(12
DM annihilation flux DM decay flux
Astro physics
Particle physics
Annihilation
71
OutlineMulti-epoch
The Dark Matter TimelineThe present
Multi-Scale + M3
Galactic centerGalactic structuresGalaxy Clusters
The FutureThe DM search challenge
72
THANKS
for your attention !