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Closing in on mass-degenerate dark matterscenarios with antiprotons and direct detection
On the complementarity of direct and indirect detection
Stefan Vogl
with Mathias Garny (DESY), Alejandro Ibarra and Miguel Pato (TUM)to appear soon
S. Vogl (TU München) PASCOS 2012 8 June 2012 1 / 15
Outline
IntroductionParticle Physics FrameworkRelic DensityIndirect DetectionDirect DetectionResultsConclusion
S. Vogl (TU München) PASCOS 2012 8 June 2012 2 / 15
Why consider compressed mass spectra?
Lets consider the case when the dark matter particle χ and the next to lightestbeyond the Standard Model particle η have a similar mass
∆m = mχ − mη . mχ.
Collidersminimal transverse momentum pT is required to distinguish jet
pT ≈ ∆m
low sensitivity to compressed mass spectra
S. Vogl (TU München) PASCOS 2012 8 June 2012 3 / 15
Why consider compressed mass spectra?
Lets consider the case when the dark matter particle χ and the next to lightestbeyond the Standard Model particle η have a similar mass
∆m = mχ − mη . mχ.
thermal production
for mη
mχ
≈ 1.2 coannihilations become important
S. Vogl (TU München) PASCOS 2012 8 June 2012 3 / 15
Why consider compressed mass spectra?
Lets consider the case when the dark matter particle χ and the next to lightestbeyond the Standard Model particle η have a similar mass
∆m = mχ − mη . mχ.
Indirect Detectioncompressed mass spectra exhibit very characteristic features
annihilation rates are enhanced for small ∆m
huge astrophysical uncertainties
S. Vogl (TU München) PASCOS 2012 8 June 2012 3 / 15
Why consider compressed mass spectra?
Lets consider the case when the dark matter particle χ and the next to lightestbeyond the Standard Model particle η have a similar mass
∆m = mχ − mη . mχ.
Direct Detectionscattering rates are enhanced for small ∆m
less astrophysical uncertainties than in Indirect Detection
good experimental limits
S. Vogl (TU München) PASCOS 2012 8 June 2012 3 / 15
Why consider compressed mass spectra?
Lets consider the case when the dark matter particle χ and the next to lightestbeyond the Standard Model particle η have a similar mass
∆m = mχ − mη . mχ.
Direct Detectionscattering rates are enhanced for small ∆m
less astrophysical uncertainties than in Indirect Detection
good experimental limits
But: We need to specify the model in order to compare observab les.
S. Vogl (TU München) PASCOS 2012 8 June 2012 3 / 15
Particle Physics Framework
Begin with the SM and add news physics
ParticlesMajorana fermion χ as dark matter
a scalar η as the next to lightest beyond the Standard Model particle
Assign chargesχ is a singlet under SU(3)× SU(2) × U(1)
η is a triplet under SU(3) and (for simplicity) a singlet under SU(2)
u,d,s or b flavor quantum number for η
Interactionsa Yukawa interaction with the quarks: Lint = f χqRη
S. Vogl (TU München) PASCOS 2012 8 June 2012 4 / 15
Particle Physics Framework
Begin with the SM and add news physics
ParticlesMajorana fermion χ as dark matter
a scalar η as the next to lightest beyond the Standard Model particle
Assign chargesχ is a singlet under SU(3)× SU(2) × U(1)
η is a triplet under SU(3) and (for simplicity) a singlet under SU(2)
u,d,s or b flavor quantum number for η
Interactionsa Yukawa interaction with the quarks: Lint = f χqRη
Notice: similar to SUSY with light squarks
S. Vogl (TU München) PASCOS 2012 8 June 2012 4 / 15
thermal freeze outall particles are in thermal equilibrium in the early Universe
when temperature T ≪ mχ dark matter can’t be produced anymore→ dark matter freezes out
S. Vogl (TU München) PASCOS 2012 8 June 2012 5 / 15
Coannihilations
for ∆mmχ
. 1.2 more particles need to be included in the Boltzmannequation
we use MicrOMEGAS for the calculation of the relic density
specifying mχ and ∆m yields constraint on f
Example: Coupling to u and mχ/mη = 1.1
100 200 500 1000 2000 5000 1 ´ 10410- 4
0.001
0.01
0.1
1
10
m Χ @GeVD
f
for mχ smaller that a certain scale the relic density can not be obtained
S. Vogl (TU München) PASCOS 2012 8 June 2012 6 / 15
Majorana fermions annihilating into light quarks
thermally averaged cross section 〈σannv〉 can be expanded as
〈σannv〉 = a + bv2 +O(v4)
consider annihilations into quarks
s-wave annihilation is suppressed by chirality
〈σannv〉 ≈ a ≈m2
fm2
DM
p-wave suppressed by velocity
〈σannv〉 ≈ v2 ≈ 10−6
S. Vogl (TU München) PASCOS 2012 8 June 2012 7 / 15
Lifting the chirality suppression
the suppression can be lifted by the emission of a boson, i.e. γ, W±, Z ora gluon
χ0
1u
η
g
η
χ0
1u
the fragmentation of the gluon increases the production of antiprotons
S. Vogl (TU München) PASCOS 2012 8 June 2012 8 / 15
Constraints from Antiprotons
the p/p ratio measured by Pamela constrains σv
main uncertainty: halo model and cosmic ray propagation
Example: mη/mχ = 1.1
10−26
10−25
10−24
10−23
10−22
10−21
10−20
102 103 104
σv(χ
χ→
guu)[cm
3/sec]
mDM [GeV]
σv(χχ → guu)
MIN
MED
MAX
excluded fromPAMELA p/p
Isothermal
NFW
Einasto
S. Vogl (TU München) PASCOS 2012 8 June 2012 9 / 15
Dark Matter Nucleon Scattering
dark matter nucleon scattering is induced microscopical by scattering ofquarks and gluons in the nucleus
χ
u
ηχ
u
interactions can be described in terms of effective Lagrangian
suppression scale Λ = m2η− (mχ + mq)
2
compressed spectrum → small Λ
recoil rate is enhanced
uncertainties: astrophysics (mainly neglected here) and composition ofthe nucleon
S. Vogl (TU München) PASCOS 2012 8 June 2012 10 / 15
Putting everything together
S. Vogl (TU München) PASCOS 2012 8 June 2012 11 / 15
The Direct Detection Planeu-couplingm Η�m Χ=1.1
therm al relicantiprotonsdirect detection
102 103 10410-46
10-45
10-44
10-43
10-42
10-41
10-40
m Χ @GeVD
Σp
SI@c
m2 D
S. Vogl (TU München) PASCOS 2012 8 June 2012 12 / 15
The Indirect Detection Plane
100 200 500 1000 2000 5000 1 ´ 10410- 32
10- 30
10- 28
10- 26
10- 24
m Χ@GeVD
Σv@c
m3
s-1 D
S. Vogl (TU München) PASCOS 2012 8 June 2012 13 / 15
Which constraint is strongest?
S. Vogl (TU München) PASCOS 2012 8 June 2012 14 / 15
Conclusions
compressed mass spectra lead to enhanced signals for dark matterdetection experiments
probes region of parameter space inaccessible at colliders
direct detection experiments are cutting into the parameter space allowedby thermal production
S. Vogl (TU München) PASCOS 2012 8 June 2012 15 / 15
Backup
S. Vogl (TU München) PASCOS 2012 8 June 2012 15 / 15
Backup
S. Vogl (TU München) PASCOS 2012 8 June 2012 15 / 15
Backup
S. Vogl (TU München) PASCOS 2012 8 June 2012 15 / 15