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Dark Matter in the Universe
Michael Kachelrieß
NTNU Trondheim
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
EGRET excess, surplus of diffuse γ-rays
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
EGRET excess, surplus of diffuse γ-rays
PAMELA anomaly: positrons, but no anti-protons
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
EGRET excess, surplus of diffuse γ-rays
PAMELA anomaly: positrons, but no anti-protons
ATIC anomaly: positrons, but no anti-protons
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
EGRET excess, surplus of diffuse γ-rays
PAMELA anomaly: positrons, but no anti-protons
ATIC anomaly: positrons, but no anti-protons
HESS: TeV γ-rays from GC
Michael Kachelrieß Dark Matter: Candidates and their properties
Experimental anomalies:
WMAP haze: synchrotron radiation from the GC
Integral: positron annihilation line from the Galactic bulge
EGRET excess, surplus of diffuse γ-rays
PAMELA anomaly: positrons, but no anti-protons
ATIC anomaly: positrons, but no anti-protons
HESS: TeV γ-rays from GC
DAMA/Libra modulation signal
Michael Kachelrieß Dark Matter: Candidates and their properties
Earlier indirect detection claims: [Elsasser, Mannheim ’04 ]
Signal fromextragalactic χχ annihilations in the diffuse photon background:
Michael Kachelrieß Dark Matter: Candidates and their properties
Earlier indirect detection claims: [Elsasser, Mannheim ’04 ]
Signal from extragalactic χχ annihilations in the diffusephoton background:
0,1 1 10 100 100010-7
10-6
E
2 x G
amm
a R
ay In
tens
ity /
(G
eV c
m-2 s
-1 s
r-1)
Observed Gamma Ray Energy / GeV
EGRET
mχ = 520 GeV
<σv>χ = 3.1 x 10-25 cm3s-1
Dark Matter Scenario (Total)χ2/ν =0.74
α = -2.33
Straw Person's Blazar Model:
χ2/ν =1.05
Salamon & Stecker Blazar Model
µ = 978GeVm2 = -1035GeV
mA = 1036GeV
tan β = 6.6mS = 1814GeV
At = 0.88
Ab = -2.10
Ωh2 = 0.1
Michael Kachelrieß Dark Matter: Candidates and their properties
Earlier indirect detection claims: [de Boer et al. ’03–08 ]
Signal from Galactic χχ annihilations in the diffuse photonflux:
10-7
10-6
10-5
10-4
10-1
1 10 102
E [GeV]
E2 *
flux
[GeV
cm
-2 s
-1sr
-1]
EGRETbg sigsignalextragalactic
tot. backgroundPion decayInverse ComptonBremsstrahlung
m0 = 1400 GeVm1/2 = 175 GeVtan β = 51
Michael Kachelrieß Dark Matter: Candidates and their properties
Earlier indirect detection claims: [de Boer et al. ’03–08 ]
Signal from Galactic χχ annihilations in the diffuse photonflux:
10-7
10-6
10-5
10-4
10-1
1 10 102
E [GeV]
E2 *
flux
[GeV
cm
-2 s
-1sr
-1]
EGRETbg sigsignalextragalactic
tot. backgroundPion decayInverse ComptonBremsstrahlung
m0 = 1400 GeVm1/2 = 175 GeVtan β = 51
Bump not seen by Fermi
Michael Kachelrieß Dark Matter: Candidates and their properties
PAMELA anomaly
Energy (GeV)0.1 1 10 100
))
-(eφ
)+
+(eφ
) / (
+(eφ
Po
sitr
on
fra
ctio
n
0.01
0.02
0.1
0.2
0.3
0.4
Muller & Tang 1987
MASS 1989
TS93
HEAT94+95
CAPRICE94
AMS98
HEAT00
Clem & Evenson 2007
PAMELA
Michael Kachelrieß Dark Matter: Candidates and their properties
PAMELA anomaly: positron-proton identification via
dE/dx, topology
protons
electrons
Michael Kachelrieß Dark Matter: Candidates and their properties
ATIC anomaly
Michael Kachelrieß Dark Matter: Candidates and their properties
ATIC anomaly
Ballon experiment
CR induced background under control?
Michael Kachelrieß Dark Matter: Candidates and their properties
PAMELA and ATIC anomaly
Energy (GeV)0.1 1 10 100
))
-(eφ
)+
+(eφ
) / (
+(eφ
Po
sitr
on
fra
ctio
n
0.01
0.02
0.1
0.2
0.3
0.4
Muller & Tang 1987
MASS 1989
TS93
HEAT94+95
CAPRICE94
AMS98
HEAT00
Clem & Evenson 2007
PAMELA
Michael Kachelrieß Dark Matter: Candidates and their properties
Possible explanations for the PAMELA anomaly:
Dark matter
requires large boost factorsSommerfeld enhancement
dense, cold clumps
Michael Kachelrieß Dark Matter: Candidates and their properties
Possible explanations for the PAMELA anomaly:
Dark matter
requires large boost factorsSommerfeld enhancement
dense, cold clumps
“exclusive” coupling to leptons
Michael Kachelrieß Dark Matter: Candidates and their properties
Possible explanations for the PAMELA anomaly:
Dark matter
requires large boost factorsSommerfeld enhancement
dense, cold clumps
“exclusive” coupling to leptons
Astrophysics: as primaries from
pulsars
supernova remanants (SNR)
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical sources for anti-matter: CR secondaries
standard secenario for Galactic CRs:sources are SNRs:kinetic energy output of SNe:10M⊙ ejected with v ∼ 5×108 cm/s every 30 yr⇒ LSN,kin ∼ 3×1042 erg/sexplains local energy density of CR εCR ∼ 1 eV/cm3 for aescape time from disc τesc∼ 6×106 yr
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical sources for anti-matter: CR secondaries
standard secenario for Galactic CRs:sources are SNRs:kinetic energy output of SNe:10M⊙ ejected with v ∼ 5×108 cm/s every 30 yr⇒ LSN,kin ∼ 3×1042 erg/sexplains local energy density of CR εCR ∼ 1 eV/cm3 for aescape time from disc τesc∼ 6×106 yr1.order Fermi shock acceleration ⇒ dN/dE ∝ E−γ withγ = 2.0−2.2diffusion with D(E) ∝ τesc(E) ∼ E−δ and δ ∼ 0.6 explainsobserved spectrum E−2.6
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical sources for anti-matter: CR secondaries
standard secenario for Galactic CRs:sources are SNRs:kinetic energy output of SNe:10M⊙ ejected with v ∼ 5×108 cm/s every 30 yr⇒ LSN,kin ∼ 3×1042 erg/sexplains local energy density of CR εCR ∼ 1 eV/cm3 for aescape time from disc τesc∼ 6×106 yr1.order Fermi shock acceleration ⇒ dN/dE ∝ E−γ withγ = 2.0−2.2diffusion with D(E) ∝ τesc(E) ∼ E−δ and δ ∼ 0.6 explainsobserved spectrum E−2.6
electrons, positrons: τloss≪ τesc and τloss∝ 1/E
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical sources for anti-matter: CR secondaries
standard secenario for Galactic CRs:sources are SNRs:kinetic energy output of SNe:10M⊙ ejected with v ∼ 5×108 cm/s every 30 yr⇒ LSN,kin ∼ 3×1042 erg/sexplains local energy density of CR εCR ∼ 1 eV/cm3 for aescape time from disc τesc∼ 6×106 yr1.order Fermi shock acceleration ⇒ dN/dE ∝ E−γ withγ = 2.0−2.2diffusion with D(E) ∝ τesc(E) ∼ E−δ and δ ∼ 0.6 explainsobserved spectrum E−2.6
electrons, positrons: τloss≪ τesc and τloss∝ 1/Eelectrons dN−/dE ∝ E−γ−1
positrons dN+/dE ∝ E−γ−δ−1
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical sources for anti-matter: CR secondaries
standard secenario for Galactic CRs:sources are SNRs:kinetic energy output of SNe:10M⊙ ejected with v ∼ 5×108 cm/s every 30 yr⇒ LSN,kin ∼ 3×1042 erg/sexplains local energy density of CR εCR ∼ 1 eV/cm3 for aescape time from disc τesc∼ 6×106 yr1.order Fermi shock acceleration ⇒ dN/dE ∝ E−γ withγ = 2.0−2.2diffusion with D(E) ∝ τesc(E) ∼ E−δ and δ ∼ 0.6 explainsobserved spectrum E−2.6
electrons, positrons: τloss≪ τesc and τloss∝ 1/Eelectrons dN−/dE ∝ E−γ−1
positrons dN+/dE ∝ E−γ−δ−1
⇒ ration+
n−∝ E−δ
⇒ secondaries cannot expalain increasing positron fraction
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Pulsar: (fast) rotating, stronly magnetized neutron star
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Pulsar: (fast) rotating, stronly magnetized neutron star
suggested as source of CRs up-to 1020 eV
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Pulsar: (fast) rotating, stronly magnetized neutron star
suggested as source of CRs up-to 1020 eV
produce hard spectrum, dN/dE ∼ E−1.5
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Pulsar: (fast) rotating, stronly magnetized neutron star
suggested as source of CRs up-to 1020 eV
produce hard spectrum, dN/dE ∼ E−1.5
old pulsars (>∼ 105yr) lost nebula ⇒ positrons can escape
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Pulsar: (fast) rotating, stronly magnetized neutron star
suggested as source of CRs up-to 1020 eV
produce hard spectrum, dN/dE ∼ E−1.5
old pulsars (>∼ 105yr) lost nebula ⇒ positrons can escape
few sources (Geminga, B06556+14) may dominate HE part
anisotropy or peaks possible
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations I: Pulsars
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: Pulsars -
Geminga+B06556+14
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: Pulsars -
Geminga+B06556+14
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: Pulsars
if Geminga and B06556+14 dominate HE part:
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: Pulsars
if Geminga and B06556+14 dominate HE part:
implies anisotropy
from Fick’s law
Fa(E) = −Dab∇bn(E,x)
anisotropy
δ =Imax− Imin
Imax+ Imin= 3D
1n
∂nn∂z
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: Pulsars
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations: old SNRs
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations II: SNR [P. Blasi ’09 ]
NCR(E) ≫ Ne(E) for energies E ≫ mp in acceleration region
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations II: SNR [P. Blasi ’09 ]
NCR(E) ≫ Ne(E) for energies E ≫ mp in acceleration region
significant e± production even for small τpp in source
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations II: SNR [P. Blasi ’09 ]
NCR(E) ≫ Ne(E) for energies E ≫ mp in acceleration region
significant e± production even for small τpp in source
secondary e± are accelerated, spectra becomes harder
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations II: SNR [P. Blasi ’09 ]
NCR(E) ≫ Ne(E) for energies E ≫ mp in acceleration region
significant e± production even for small τpp in source
secondary e± are accelerated, spectra becomes harder
⇒ several important implications for CR physics
predicts also increase of p/p
Michael Kachelrieß Dark Matter: Candidates and their properties
Astrophysical explanations II: SNR [P. Blasi ’09 ]
Michael Kachelrieß Dark Matter: Candidates and their properties
Neutralino annihilations
CDM velocitities v2 ∼ v2⊙ ∼ 10−6
⇒ p-wave annihilations strongly suppressed
Michael Kachelrieß Dark Matter: Candidates and their properties
Neutralino annihilations
CDM velocitities v2 ∼ v2⊙ ∼ 10−6
⇒ p-wave annihilations strongly suppressed
for Majorana particles: s-wave σ ∝ m2f
⇒ annihilations into b, t quarks and W,Z,h,H,A
Michael Kachelrieß Dark Matter: Candidates and their properties
Neutralino annihilations
CDM velocitities v2 ∼ v2⊙ ∼ 10−6
⇒ p-wave annihilations strongly suppressed
for Majorana particles: s-wave σ ∝ m2f
⇒ annihilations into b, t quarks and W,Z,h,H,A
typical hadronization spectra withφν(E)/2∼ φγ(E) ∼ 3φe(E) ∼ 10φN(E)
Michael Kachelrieß Dark Matter: Candidates and their properties
Neutralino annihilations
CDM velocitities v2 ∼ v2⊙ ∼ 10−6
⇒ p-wave annihilations strongly suppressed
for Majorana particles: s-wave σ ∝ m2f
⇒ annihilations into b, t quarks and W,Z,h,H,A
typical hadronization spectra withφν(E)/2∼ φγ(E) ∼ 3φe(E) ∼ 10φN(E)photon signal
Ism(E,ψ) =dNi
dE〈σv〉
2m2X
Z
l.o.s.ds
ρ2[r(s,ψ)]
4π,
Michael Kachelrieß Dark Matter: Candidates and their properties
Neutralino annihilations
CDM velocitities v2 ∼ v2⊙ ∼ 10−6
⇒ p-wave annihilations strongly suppressed
for Majorana particles: s-wave σ ∝ m2f
⇒ annihilations into b, t quarks and W,Z,h,H,A
typical hadronization spectra withφν(E)/2∼ φγ(E) ∼ 3φe(E) ∼ 10φN(E)photon signal
Ism(E,ψ) =dNi
dE〈σv〉
2m2X
Z
l.o.s.ds
ρ2[r(s,ψ)]
4π,
main uncertainty: “boost factor” = enhancement comparedto 〈σv〉 = 3×10−26cm3/s and ρ = ρsm
Michael Kachelrieß Dark Matter: Candidates and their properties
DM annihilations and PAMELA/ATIC
standard branching ratios and mass:
overproduction of anti-protons
Michael Kachelrieß Dark Matter: Candidates and their properties
DM annihilations and PAMELA/ATIC
non-standard branching ratios: only leptons
best-fit to ATIC
boost factor 1000 needed
but minimal γ-ray flux from Bremsstrahlung, not seen
Michael Kachelrieß Dark Matter: Candidates and their properties
DM annihilations and PAMELA/ATIC
standard branching ratios:
hide p above Emax of Pamela
happy with M = 10 TeV?
Michael Kachelrieß Dark Matter: Candidates and their properties
Boost factor
particle physics:
〈σv〉 ∝ 1/v allowed by unitarityrequires s-channel resonances or bound states
Michael Kachelrieß Dark Matter: Candidates and their properties
Boost factor
particle physics:
〈σv〉 ∝ 1/v allowed by unitarityrequires s-channel resonances or bound statesSommerfeld enhancement in Coulomb limit
S0 =πx
1−exp(−πx), x =
g2
β
Michael Kachelrieß Dark Matter: Candidates and their properties
Boost factor
particle physics:
〈σv〉 ∝ 1/v allowed by unitarityrequires s-channel resonances or bound statesSommerfeld enhancement in Coulomb limit
S0 =πx
1−exp(−πx), x =
g2
β
for Coulomb limit, add new light boson
Michael Kachelrieß Dark Matter: Candidates and their properties
Boost factor
particle physics:
〈σv〉 ∝ 1/v allowed by unitarityrequires s-channel resonances or bound statesSommerfeld enhancement in Coulomb limit
S0 =πx
1−exp(−πx), x =
g2
β
for Coulomb limit, add new light boson
astrophysics:
clumpy substructure of DM halo
Michael Kachelrieß Dark Matter: Candidates and their properties
Boost factor
particle physics:
〈σv〉 ∝ 1/v allowed by unitarityrequires s-channel resonances or bound statesSommerfeld enhancement in Coulomb limit
S0 =πx
1−exp(−πx), x =
g2
β
for Coulomb limit, add new light boson
astrophysics:
clumpy substructure of DM halo
Dm in clumps may be colder
⇒ both effects magnify each other
Michael Kachelrieß Dark Matter: Candidates and their properties
Summary
Cosmology probes only generic properties of DM:abundance, cold, dissipation-less
Michael Kachelrieß Dark Matter: Candidates and their properties
Summary
Cosmology probes only generic properties of DM:abundance, cold, dissipation-less
various candidates with these properties:neutralino, gravitino, axion, axino, SHDM, . . .
Michael Kachelrieß Dark Matter: Candidates and their properties
Summary
Cosmology probes only generic properties of DM:abundance, cold, dissipation-less
various candidates with these properties:neutralino, gravitino, axion, axino, SHDM, . . .
only a combination of accelerator, direct and/or indirectsearches can identify the DM particle
Michael Kachelrieß Dark Matter: Candidates and their properties
Summary
Cosmology probes only generic properties of DM:abundance, cold, dissipation-less
various candidates with these properties:neutralino, gravitino, axion, axino, SHDM, . . .
only a combination of accelerator, direct and/or indirectsearches can identify the DM particle
even in the best-case scenario (SUSY at LHC), confirmationof LSP as DM by (in-) direct searches necessary
all sorts of data are coming!
Michael Kachelrieß Dark Matter: Candidates and their properties