an evidence of dark matter decay at ams-02? · an evidence of dark matter decay at ams-02? based on...
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An evidence of dark matter decay at AMS-02?based on arXiv:1903.07638, S. Profumo, F. Queiroz, C. Siqueira
and, in preparation with J. Silk, F. Queiroz, C. Siqueira
Clarissa Siqueira DARK MATTER AND WEAK INTERACTIONS, September 03, 2019
Motivation - Results AMS-02
Aguilar et al., 2019
Page 2Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Several works trying to explain the data
Pulsars: B1055-52 (Fang et al., 2019), Milisecond (Bykov etal., 2019)
Annihilating or decaying DM (Geng et al.,2019)
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DM Particle - Detection Methods
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DM Indirect Searches
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Propagation trough the Galaxy
Page 6Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Two-component DM Interpretation
Page 7Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
The total expected flux:
Φpred(E) = Φe+
χ (E) + Φe+
back(E) (1)
with,
Φe+
χ (E) = Φe+
χ1(E) + Φe+
χ2(E) (2)
Page 8Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
Background flux:
Φe+
back(E) = cdE2
E2
(E
E1
)γd(3)
We adopt cd = 6.9× 10−2(m2 sr s GeV)−1, γd = −3.98, and
E(E) = E + ϕe+ with ϕe+ = 1.10 GeV.
Include interaction between cosmic rays and the gas in theintergalactic medium;takes into account effects of solar modulation.
Page 9Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
DM flux:
Φe+
χ (E) =1
4π b(E)
ρ
mχ
Γ ×
×∫ mχ/2
EdEs
∑f
BRfdNe+
f
dE (Es) I(E,Es)(4)
Page 10Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
Syncroton; ICSDM mass;decay rate
DM flux:
Φe+
χ (E) =1
4π b(E)
ρ
mχ
Γ ×
×∫ mχ/2
EdEs
∑f
BRfdN e+
f
dE(Es) I(E,Es)(5)
Spectrum atproduction
Halo function(NFW profile)
Page 11Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
Syncroton; ICSDM mass;decay rate
DM flux:
Φe+
χ (E) =1
4π b(E)
ρ
mχ
Γ ×
×∫ mχ/2
EdEs
∑f
BRfdN e+
f
dE(Es) I(E,Es)(5)
Spectrum atproduction
Halo function(NFW profile)
Page 11Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
Syncroton; ICSDM mass;decay rate
DM flux:
Φe+
χ (E) =1
4π b(E)
ρ
mχ
Γ ×
×∫ mχ/2
EdEs
∑f
BRfdN e+
f
dE(Es) I(E,Es)(5)
Spectrum atproduction
Halo function(NFW profile)
Page 11Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
The positron flux
Syncroton; ICSDM mass;decay rate
DM flux:
Φe+
χ (E) =1
4π b(E)
ρ
mχ
Γ ×
×∫ mχ/2
EdEs
∑f
BRfdN e+
f
dE(Es) I(E,Es)(5)
Spectrum atproduction
Halo function(NFW profile)
Page 11Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Energy spectrum
Cirelli, 2010.
Page 12Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Compatibility with γ−ray data
Strong limits from γ−rays: Dwarf Spheroidal galaxies(Fermi-LAT) and the Galactic Center (H.E.S.S.).
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Results
MED propagation
10 0 10 1 10 2 10 3
Energy (GeV)
0
5
10
15
20
25
30
Energy3×Flux
(GeV
2m
−2s−1sr
−1)
χ2/d. o. f . =0.613 (Mode l 1 ) - χ2/d. o. f . =0.571 (Mode l 2 )
Total Flux (Mode l 1 )
χ1 → ττ
χ2 → µµ
Total Flux (Mode l 2 )
χ1 → VV→ ττ
χ2 → µµ
Background
Flux with e rrors
MAX propagation
100 101 102 103
Energy (GeV)
0
5
10
15
20
25
30
Energy3
×Flux
(GeV
2m
−2s−1sr
−1)
χ2/d. o. f . =2.3 (Model 1) - χ2/d. o. f . =1.7 (Model 2)
Total Flux (Model 1)χ1 → ττ
χ2 → µµ
Total Flux (Model 2)
χ1 → VV→ 4τ
χ2 → µµ
Background
Flux with errors
Page 14Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Results
MED propagation
500 1000 1500 2000 2500 3000
Mass (GeV)
1 .0
1 .5
2 .0
2 .5
τ χ(s
)
1 e 26
χ1 → ττwith τχ1 = 1.43× 1026 sχ2 → µµ with τχ2 = 1.83× 1026 s
χ1 → VV→ ττwith τχ1 = 1.49× 1026 sχ2 → µµ with τχ2 = 1.73× 1026 s
MAX propagation
500 1000 1500 2000 2500
Mass (GeV)
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
τ χ(s)
1e26
χ1 → ττ with τχ1=4 .13 × 1026 s
χ2 → µµ with τχ2=2 .60 × 1026 s
χ1 → VV→ ττ with τχ1= 5.00× 1026 s
χ2 → µµ with τχ2= 2.63 × 1026 s
Page 15Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Cheking other possibilities
Page 16Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Branching ratio
`+W → qq′
50%
`+W → ¯ν`
20%
ν + Z → νν
20%
others
10%
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Results - RHN
MN = 10 GeV
MED propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 3.57
MED prop.
Total Flux (MN = 10GeV)
MDM12000 GeV
MDM2= 300GeV
Background
Flux with errors
=
MAX propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 2.3
MAX prop.
Total Flux (MN = 10GeV)
MDM1= 2150GeV
MDM2= 300GeV
Background
Flux with errors
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Results - RHN
MN = 50 GeV
MED propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 5
MED prop.
Total Flux (MN = 50GeV)
MDM1= 2000GeV
MDM2= 300GeV
Background
Flux with errors
MAX propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 5.1
MAX prop.
Total Flux (MN = 50GeV)
MDM1= 2370GeV
MDM2= 485GeV
Background
Flux with errors
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Results - RHN
MN = 80 GeV
MED propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 6.7
MED prop.
Total Flux (MN = 80GeV))
MDM5= 2500GeV
MDM6= 320GeV
Background
Flux with errors
MAX propagation
100 101 102 103
E (GeV)
0
5
10
15
20
25
E3
×Φ
e+
(GeV
2m
−2s−
1sr
−1)
χ2/d. o. f . = 8.8
MAX prop.
Total Flux (MN = 80GeV)
MDM5= 2500GeV
MDM6= 370GeV
Background
Flux with errors
Page 20Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Results - RHN
MED propagation
1500 2000 2500 3000Mass (GeV)
2.0
2.5
3.0
3.5
4.0
4.5
5.0
τ χ(s)
1e26
MN =10GeV with τχ1 = 4.00× 1026 sMN =50GeV with τχ2 = 3.35× 1026 sMN =80GeV with τχ1 = 3.34× 1026 s
200 300 400 500Mass (GeV)
1.4
1.6
1.8
2.0
2.2
2.4
τ χ (s
)
1e27
MN = 10GeV with τχ1= 1.67× 1027 s
MN = 50GeV with τχ2= 2.00× 1027 s
MN = 80GeV with τχ1= 1.80× 1027 s
Page 21Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Results - RHN
MAX propagation
1500 2000 2500 3000
Mass (GeV)
2.5
3.0
3.5
4.0
4.5
τ χ(s)
1e26
MN =10GeV with τχ1 = 3.78× 1026 sMN =50GeV with τχ2 = 4.07× 1026 sMN =80GeV with τχ1 = 3.60× 1026 s
200 300 400 500 600Mass (GeV)
1.21.62.02.42.83.23.64.04.44.85.25.66.0
τ χ (s
)
1e27
MN = 10GeV with τχ1= 5.00× 1027 s
MN = 50GeV with τχ2= 2.20× 1027 s
MN = 80GeV with τχ1= 3.00× 1027 s
Page 22Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Gamma-ray data
Gamma-ray Flux
Φγ
dΩdE=r4π
ρMDM
J∑f
dNfγ
dE, J =
∫l.o.s.
ds
r
ρ(r(s, θ))
ρ
Cohen et al., 2016.
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Gamma-ray data - Fermi-LAT
Cohen et al., 2016.
Page 24Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Comparing the dN/dE
Φγ
dΩdE∝ dNf
γ
dE
05
101520
dN/dE
(GeV
−1)
MDM2= 300GeV
MN = 10GeV 2×NRNR
W`
MDM1= 2000GeV
MN = 10GeV 6×NRNR
W`
05
101520
dN/dE
(GeV
−1)
MN = 50GeV 2×NRNR
WW
MN = 50GeV 3×NRNR
W`
100 101 102
E (GeV)
05
101520
dN/dE
(GeV
−1)
MN = 80GeV NRNR
WW
100 101 102 103
E (GeV)
MN = 80GeV 2×NRNR
W`
Page 25Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Comparing the Limits
MN (GeV) MDM (GeV) Γpred (s) Γlim (s) (rescaled)
10 300 5.0× 1027 1.2× 1027
10 2000 3.6× 1026 3.0× 1027
50 300 2.2× 1027 1.2× 1027
50 2000 4.1× 1026 6.0× 1027
80 300 3.0× 1027 4.8× 1027
80 2000 3.6× 1026 9.0× 1027
Table: Comparison between the stronger limits rescaled and ourpredictions.
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Uncertainties in γ−ray Limits
Page 27Clarissa Siqueira An evidence of dark matter decay at AMS-02? DARKWIN-2019
Conclusions
The positron excess observed by AMS-02 remains unexplained;
In this talk we showed different scenarios where two-componentDM can provide a good fit to the data;
We include several different approaches, including direct decayinto SM particles and secluded scenarios;
The comparison with γ−ray data provides a really trick scenario,however we have several systematic uncertainties which canalleviate the limits.
Thank You!
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