- Phys. Rev. D71: 063528, 2005
- Phys. Rev. Lett. : 92: 031303, 2004
- Phys. Rev. D67: 075014, 2003
EWIMP dark matter detections EWIMP dark matter detections Shigeki - - PowerPoint PPT Presentation
EWIMP dark matter detections EWIMP dark matter detections Shigeki - - PowerPoint PPT Presentation
EWIMP dark matter detections EWIMP dark matter detections Shigeki Matsumoto Shigeki Matsumoto HIGH ENERGY ACCELERATOR RESEARCH HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION (KEK) ORGANIZATION (KEK) Collaborated with Collaborated with Junji
Dark Matter Abundance Dark Matter Abundance Mean density of matter and baryon Mean density of matter and baryon Existence of non-baryonic (cold) dark matter Existence of non-baryonic (cold) dark matter
6
- 7
2 . 9 1 0 G e V / 4 . 6 1 0 G e V / c c c c
B M
ρ ρ
−
≈ × ≈ ×
Beyond SM Physics Beyond SM Physics Constituent of dark matter Constituent of dark matter
=
Results from recent cosmological observation
Concrete example Neutralino in Minimal SUSY SM Concrete example Neutralino in Minimal SUSY SM EWIMP Dark Matter EWIMP Dark Matter We consider non-singlet dark matter (a neutral component of multiplet) Electroweak charged WIMP = EWIMP We consider non-singlet dark matter (a neutral component of multiplet) Electroweak charged WIMP = EWIMP
(2) L SU
01 02 03 04 d u
Z B Z W Z H Z H χ = + + +
- χ
- g
W,Z
- partner
(2)L SU
Triplet Doublet We focus on signatures in EWIMP dark matter detections. ( Direct detection, Indirect detection using ) Interesting phenomena occur in these detections !! We focus on signatures in EWIMP dark matter detections. ( Direct detection, Indirect detection using ) Interesting phenomena occur in these detections !!
(2)L SU , e γ
+
Direct detection for EWIMP dark matter Direct detection for EWIMP dark matter
2 2 43 2 2
3 10 100
SI
cm GeV M μ σ
− −
⎛ ⎞ × ×⎜ ⎟ × ⎝ ⎠ ∼
q q
χ
- q
~
χ
- χ
- q
If the EWIMP mass is large enough, the cross section at tree level is suppressed by new physics scale If the EWIMP mass is large enough, the cross section at tree level is suppressed by new physics scale
h, H
E
Nuclear recoil after EWIMP-nucleus scattering Triplet EWIM (Wino-like dark matter) Diagrams for Spin-independent Int.
gaugino-higgsino mixing squark mass
Non-decoupling interaction at 1-loop level Non-decoupling interaction at 1-loop level
Intermediate chargino particle in these diagrams are almost On-shell. There are no suppression at each vertex in these diagrams. Intermediate chargino particle in these diagrams are almost On-shell. There are no suppression at each vertex in these diagrams.
χ
- χ
- q
q q’ W W W W h, H
At 1-loop level, there are some diagrams not suppressed by new physics scale. At 1-loop level, there are some diagrams not suppressed by new physics scale. In the extremely heavy EWIMP case, the 1-loop diagrams are larger than diagrams at tree level !! The 1-loop diagrams give the lower limit of the collision cross section. In the extremely heavy EWIMP case, the 1-loop diagrams are larger than diagrams at tree level !! The 1-loop diagrams give the lower limit of the collision cross section.
EWIMP-Nucleon cross section including 1-loop diag. EWIMP-Nucleon cross section including 1-loop diag.
47 2
( 10 ) cm
−
×
Cross section m = 200 GeV (Triplet) tanβ= 4 tanβ= 4 tanβ= 40 tanβ= 40
The cross section for the EWIMP receives the sizable 1-loop correction, when the cross section is smaller than about 10-45cm2. The cross section for the EWIMP receives the sizable 1-loop correction, when the cross section is smaller than about 10-45cm2.
Indirect detection of EWIMP dark matter using γ-rays Indirect detection of EWIMP dark matter using γ-rays χ
- Sun
Annihilate
γ- ray
When , usual perturbation can not be applied due to the threshold singularity !! When , usual perturbation can not be applied due to the threshold singularity !!
W
m m >
χ
- π
W−
W+
γ γ
Halo
Calculation of annihilation cross sections is important!! Calculation of annihilation cross sections is important!!
Ladder diagram
Breakdown of perturbation in cal. of cross section Breakdown of perturbation in cal. of cross section
2
~ A α
2 2 2 2
~
W
m A m α
2
~
W
m A m α
χ
- χ
- Diagrams have an additional factor
for each weak gauge boson exchange.
2
/
W
m m α
+ +
- ● ●
+
Z W or Z W or Z We have to resum ladder diagrams!!
W+
W−
Intermediate states (EWIMP& partner) are almost on-shell. Threshold Singularity 1.Velocity of EWIMP:
- 2. Degeneracy between
EWIMP & partner
3
10 v c
−
- Bound states composed
by EWIMP & Partner’s pair appear if m > mW!! Bound states composed by EWIMP & Partner’s pair appear if m > mW!! Annihilation cross section is enhanced compared to leadings. Annihilation cross section is enhanced compared to leadings. Non-pertuvative effect We performed the resummation using NR-Lagrangian. We performed the resummation using NR-Lagrangian.
3 1
( sec ) v cm for W W σ χ χ
− + −
→
Leading order cal.
0.1( ) m GeV δ = 1( ) m GeV δ =
3
/ 10 v c
−
=
Annihilation cross section including effects of T.S. Annihilation cross section including effects of T.S.
Triplet Doulet
Constraint on MSSM parameters by gamma rays (1-10GeV) from the galactic center using EGRET observation . Constraint on MSSM parameters by gamma rays (1-10GeV) from the galactic center using EGRET observation . Models of particle physics can be constrained by the
- bservation !!
Models of particle physics can be constrained by the
- bservation !!
Gamma ray flux is increased For example
Gamma ray signal from EWIMP annihilation in galactic cneter Gamma ray signal from EWIMP annihilation in galactic cneter
2 14 2 1 27 3 1
( ) 1 9.3 10 ( ) 10
i i i
d E dN v TeV cm s J dE dE cm s m
γ γ
σ
− − − − −
Ψ ⎛ ⎞ < > ⎛ ⎞ = × ∑ ΔΩ ⎜ ⎟⎜ ⎟ ⎝ ⎠ ⎝ ⎠
2 3 . .
1 ( ) 8.5 ( ) 0.3
l o s
J d dl kpc GeV cm ρ θ
− ΔΩ
⎛ ⎞ = Ω ⎜ ⎟ ΔΩ ⎝ ⎠
∫ ∫
Flux strongly depends on dark matter profile, so evaluation of the profile is important !!
(NFW:α= 1) (Moore:α= 1.4) (King:α= 0)
( ) r ρ
( ) ( 0) r r r
α
ρ
−
- ∼
Cuspy structure Recent N-body Simulations suggest
Excluded region by EGRET from G.C. for different profiles
Indirect detection of EWIMP dark matter using positrons Indirect detection of EWIMP dark matter using positrons
Positron Fraction = (Positron Flux) / (Positron + Electron Flux) Background Large excess of the positron fraction !! Large excess of the positron fraction !!
Summary
When the mass of EWIMP is large , some 1-loop diagrams significantly contribute to the collision cross section (Non-decoupling). In cal. of the annihilation cross section, non-perturbative effects become important, and the cross section is enhanced (Threshold Singularity). We computed the cross sections of dark matter relevant to direct and indirect detections when the DM is non-singlet (EWIMP). We calculated the collision cross section between EWIMP and nucleus, gamma ray flux from the galactic center, positron excess in C.R..
(2)L SU
( )
W