SLIDE 1 Searching for spectral features in the g-ray sky
Alejandro Ibarra Technische Universität München
Oslo 5 November 2014
SLIDE 2
Outline
Motivation Indirect dark matter searches with gamma-rays. Overcoming backgrounds Gamma-ray spectral features A simple model generating spectral features. Conclusions
SLIDE 3 There is evidence for particl cle dark matter in a wide range of distance scale les
distance kpc Solar system Galaxies Clusters
Observable Universe Mpc Gpc pc
SLIDE 4 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 5 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc M87
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 6 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc Segue 1 (discovered by the SDSS in 2006)
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 7 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc Abell 1689
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 8 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 9 distance kpc Solar system Clusters
Observable Universe Mpc Gpc pc The discovery of the dark matter was one (among the many) great discoveries in Physics of the 20th century. In fact, it was one of the first particles for which there was evidence: Electron - Thomson, 1897 Proton - Rutherford, 1919 Neutron - Chadwick, 1932 Positron – Anderson, 1932 First evidence for dark matter - Zwicky, 1933
There is evidence for particl cle dark matter in a wide range of distance scale les
Galaxies
SLIDE 10 DARK MATTER
? ? ? ? ? ? ?
SLIDE 11 DARK MATTER
? ? ? ? ? ? ?
Goal for the 21st century: id identify the propert rties
dark matter partic icle le
SLIDE 14 SM SM DM DM
annihilation
WIMP dark matter
production s c a t t e r i n g
SLIDE 15 SM SM DM DM
annihilation
WIMP dark matter
production s c a t t e r i n g
SLIDE 16 SM SM DM DM
annihilation s c a t t e r i n g
Assuming that the dark matter particles were in thermal equilibrium with the SM in the Early Universe, their relic abundance reads:
WIMP dark matter
production
SLIDE 17 SM SM DM DM
annihilation s c a t t e r i n g
Correct dark matter abundance, DMh20.1, if
WIMP dark matter
production
Assuming that the dark matter particles were in thermal equilibrium with the SM in the Early Universe, their relic abundance reads:
SLIDE 18 SM SM DM DM
annihilation s c a t t e r i n g
WIMP dark matter
production
~ weak interaction
Correct dark matter abundance, DMh20.1, if Assuming that the dark matter particles were in thermal equilibrium with the SM in the Early Universe, their relic abundance reads:
SLIDE 19 SM SM DM DM
annihilation s c a t t e r i n g
(provided )
WIMP dark matter
production
~ weak interaction
Correct dark matter abundance, DMh20.1, if Assuming that the dark matter particles were in thermal equilibrium with the SM in the Early Universe, their relic abundance reads: DM DM SM SM
SLIDE 20
SLIDE 21 Dark matter searches with gamma-rays
DM DM
g e n p
SLIDE 22 Dark matter searches with gamma-rays
Source term (particle physics) Line-of-sight integral (astrophysics)
DM DM
g e n p Expected gamma-ray flux in a given direction:
SLIDE 23 Dark matter searches with gamma-rays
Source term (particle physics) Line-of-sight integral (astrophysics)
DM DM
g e n p Expected gamma-ray flux in a given direction: Which s v? A well motivated choice: As required by thermal production. First milestone for exclusion.
SLIDE 24 Do we understand backgrounds to the ~1% accuracy?
100 50 20 200 30 300 150 70 109 108 107 106 105 E GeV E2 GeV cm2s 1sr1
Problem for discovery: for typical channels and typical masses, the expected flux lies well below the background.
bb mDM=500 GeV
SLIDE 25 Inverse Compton bremmstrahlung
p0-decay
modelling of the diffuse emission
SLIDE 26
Always possible to use the gamma-ray data to set constraints on the dark matter properties (and should be done). Great progress in understanding the diffuse gamma-ray emission, but unfortunately a detailed picture is still lacking.
SLIDE 27
However, to convincingly claim a dark matter signal it is necessary to convincingly subtract the astrophysical background.
Always possible to use the gamma-ray data to set constraints on the dark matter properties (and should be done). Great progress in understanding the diffuse gamma-ray emission, but unfortunately a detailed picture is still lacking.
SLIDE 28
Overcoming backgrounds
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 29 Overcoming backgrounds
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
Kuhlen, Diemand, Madau
SLIDE 30
Overcoming backgrounds A promising target for detection: dwarf galaxies
Segue 1: Optical image Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 31
Overcoming backgrounds A promising target for detection: dwarf galaxies
Segue 1: Optical image Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 32
Overcoming backgrounds A promising target for detection: dwarf galaxies
Segue 1: Optical image Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 33 Overcoming backgrounds A promising target for detection: dwarf galaxies
Segue 1: Optical image Mass-to-light ratio ~ 3400 M/L Most DM-dominated
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 34
Overcoming backgrounds A promising target for detection: dwarf galaxies
Segue 1: Gamma-ray image (simulated!) Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 35
Overcoming backgrounds A promising target for detection: dwarf galaxies
Gamma-ray image taken with the MAGIC telescopes Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 36 Overcoming backgrounds A promising target for detection: dwarf galaxies
MAGIC coll. arXiv:1312.1535
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 37
Overcoming backgrounds A promising target for detection: dwarf galaxies
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 38 Overcoming backgrounds A promising target for detection: dwarf galaxies
Fermi-LAT coll. arXiv:1310.0828
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 39 Overcoming backgrounds A promising target for detection: dwarf galaxies
Fermi Symposium 20-24 October 2014
Strategy 1: Search for a gamma-ray excess with the spatial morphology expected from an annihilation signal
SLIDE 40 10 100 50 20 200 30 15 150 70
Overcoming backgrounds
Idea:
E dN/dE Monochromatic signal at E=100 GeV Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
SLIDE 41 10 100 50 20 200 30 15 150 70
Overcoming backgrounds
E dN/dE Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background. Assume power-law background
Idea:
SLIDE 42 Overcoming backgrounds
E dN/dE
10 100 50 20 200 30 15 150 70
Total spectrum Fit data to Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
Idea:
SLIDE 43 Overcoming backgrounds
Data don't really look like a power law...
Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
SLIDE 44 10 100 50 20 200 30 15 150 70
Overcoming backgrounds
Signal concentrated in a narrow energy range
Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
Data don't really look like a power law...
SLIDE 45 10 100 50 20 200 30 15 150 70
Overcoming backgrounds
In a narrow energy window, the background resembles a power-law (Taylor's theorem)
Signal concentrated in a narrow energy range
Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
Data don't really look like a power law...
SLIDE 46 10 100 50 20 200 30 15 150 70
Overcoming backgrounds
Signal concentrated in a narrow energy range
Repeat the search with different windows postulating a signal at different DM masses.
“sliding energy window”
Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
Data don't really look like a power law...
SLIDE 47 Overcoming backgrounds
arXiv:1205.2739
Strategy 2: Search for a gamma-ray excess with an energy spectrum qualitatively different from the background.
SLIDE 48 Overcoming backgrounds
Strategy 3: Combine both methods. Search for gamma-ray spectral features in regions where it is most likely to find a signal. Traditional approach: select a geometrically simple region of the sky and search for features.
e.g region |b|>10° plus a 20°20° square centered at the Galactic Center (Fermi coll.)
SLIDE 49 Overcoming backgrounds
Strategy 3: Combine both methods. Search for gamma-ray spectral features in regions where it is most likely to find a signal. Traditional approach: select a geometrically simple region of the sky and search for features.
e.g region |b|>10° plus a 20°20° square centered at the Galactic Center (Fermi coll.)
Disadvantage: in the chosen region the background could be too large and bury the signal Instead, choose regions where, for a given dark matter profile, the signal-to-background ratio is maximized
SLIDE 50 Target regions which maximize the signal-to-background ratio: Consider a generalized NFW profile
a=1.0 a=1.1 a=1.2 a=1.4
Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
Overcoming backgrounds
SLIDE 51 Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
SLIDE 52 Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
Hint for a line-like gamma ray excess at 130 GeV!
See also Weniger, arXiv:1204.2797 Su, Finkbeiner, arXiv:1206.1616 Tempel, Hektor, Raidal, arXiv:1205.1045 …
(with a local significance of more than 4s!)
SLIDE 53 Latest news on the 130 GeV excess
Fermi-LAT collaboration arXiv:1305.5597
Significance reduced to 3.3s (1.6s with LEE)
The 130 GeV excess was probably a statistical fluke
Local fit significance
2s global
SLIDE 54 Latest news on the 130 GeV excess
Fermi-LAT collaboration arXiv:1305.5597
SLIDE 55
Fermi Symposium 20-24 October 2014
Latest news on the 130 GeV excess
SLIDE 56 Gamma ray line Gamma ray box Internal bremsstrahlung
Three gamma-ray spectral features have been identified:
Gamma-ray spectral features in Particle Physics
Srednicki, Theisen, Silk '86 Rudaz '86 Bergstrom, Snellman '88 AI, Lopez Gehler, Pato '12 Bergstrom '89 Flores, Olive, Rudaz '89 Bringmann, Bergstrom, Edsjo '08
SLIDE 57
The annihilation DM DM → g g arises at the one loop level
Gamma-ray lines
The dark matter particle is electrically neutral. DM DM DM DM SM SM
Monochromatic line → Very distinctive spectrum!
SLIDE 58
The annihilation DM DM → g g arises at the one loop level However, with a very suppressed rate:
Gamma-ray lines
The dark matter particle is electrically neutral. DM DM SM SM
Monochromatic line → Very distinctive spectrum!
DM DM
SLIDE 59 Fermi-LAT collaboration arXiv:1305.5597
SLIDE 60 Fermi-LAT collaboration arXiv:1305.5597
“Canonical value of sv”
SLIDE 61 Fermi-LAT collaboration arXiv:1305.5597
“Canonical value of sv” Expected cross section
SLIDE 62
Internal bremsstrahlung
DM DM SM SM med Assume a model where the dark matter particle annihilates into Standard Model light particles via the interaction with a mediator in the t-channel
SLIDE 63
Internal bremsstrahlung
Diagrams contributing to the process DM DM → SM SM g: DM DM SM SM med g
SLIDE 64
DM DM med g
Internal bremsstrahlung
Diagrams contributing to the process DM DM → SM SM g: SM SM
SLIDE 65
Internal bremsstrahlung
Diagrams contributing to the process DM DM → SM SM g: Enhancement of the amplitude (and the rate) when Eg is close to the kinematic end-point. In the case mDM mmed the scalar propagator gets enhanced when ESM is small. DM DM med g SM SM
SLIDE 66 Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
Internal bremsstrahlung
SLIDE 67
Internal bremsstrahlung
DM DM SM SM Expected annihilation cross section for the 2 3 process.
+ ...
SLIDE 68 Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
NFW NFW
Limits on the annihilation cross section from the Fermi-LAT data
SLIDE 69 Bringmann, Huang, AI, Vogl, Weniger arXiv:1203.1312
NFW NFW
Limits on the annihilation cross section from the Fermi-LAT data
“Canonical value of sv” “Canonical value of sv”
SLIDE 70 NFW NFW
Limits on the annihilation cross section from the Fermi-LAT data
Limit on the total annihilation cross section from dwarf galaxy observations
= Number of photons with E=1-100 GeV
Geringer-Sameth, Koushiappas, arXiv:1108.2914 “Canonical value of sv” “Canonical value of sv”
SLIDE 71
Gamma-ray box
DM DM Assume on shell production of an intermediate scalar, f.
SLIDE 72
Assume on shell production of an intermediate scalar, f. Assume that the scalar decays into two photons
Gamma-ray box
DM DM Photon spectrum in the rest frame of the scalar
SLIDE 73
Assume that the scalar decays into two photons
Gamma-ray box
DM DM Photon spectrum in the galactic frame Photon spectrum in the rest frame of the scalar Assume on shell production of an intermediate scalar, f.
SLIDE 74 20 40 60 80 100
“box-shaped spectrum”
mf=70 GeV mf=90 GeV mDM=100 GeV
SLIDE 75 New aspect: the spectral feature arises from a tree level 22 annihilation. The strength of the signal could be unsuppressed, depending on the cross section DM DM → ff and BR(fgg).
AI, Lopez Gehler, Pato arXiv:1205.0007
SLIDE 76 AI, Lee, Lopez Gehler, Park, Pato arXiv:1303.6632
SLIDE 77 AI, Lee, Lopez Gehler, Park, Pato arXiv:1303.6632 Expected if BR=1 Expected if BR=1
SLIDE 78 Gamma ray line Gamma ray box Internal bremsstrahlung
Three gamma-ray spectral features have been identified:
Gamma-ray spectral features in Particle Physics
“Smoking gun” for dark matter: no (known) astrophysical process can produce a sharp feature in the gamma-ray energy spectrum
Recapitulation
SLIDE 79 Gamma ray line Gamma ray box Internal bremsstrahlung
Three gamma-ray spectral features have been identified:
Gamma-ray spectral features in Particle Physics
“Smoking gun” for dark matter: no (known) astrophysical process can produce a sharp feature in the gamma-ray energy spectrum
Recapitulation
SLIDE 80 Gamma ray line Gamma ray box Internal bremsstrahlung
Three gamma-ray spectral features have been identified:
Gamma-ray spectral features in Particle Physics
“Smoking gun” for dark matter: no (known) astrophysical process can produce a sharp feature in the gamma-ray energy spectrum Could the observation of spectral features be precluded by other experiments? Rather suppressed rates...
Recapitulation
SLIDE 81 Consider a toy model consisting on a Majorana dark matter particle, c, an intermediate charged scalar particle, h, and a light SM fermion, f. Interaction Lagrangian:
A simplified model generating spectral features Simple model, but rich phenomenology
- Gamma-ray spectral features
- Antimatter production in annihilations.
- Signals at direct detection experiments.
- Signals at colliders.
- High energy neutrinos from the Sun.
SLIDE 82 Garny, AI, Pato, Vogl arXiv:1306.6342
Limits on the model parameters from XENON100 and from the LHC translate into limits on the production rate of spectral features.
SLIDE 83 Garny, AI, Pato, Vogl arXiv:1306.6342
The limits from XENON100 and from the LHC are weaker for “leptophilic” models.
SLIDE 84 Conclusions
The indirect search for dark matter is hindered by the existence of large (and still poorly understood) astrophysical backgrounds. In order to claim a dark matter signal, it is necessary to devise strategies to suppress the backgrounds. A promising approach consists in searching for sharp features in the gamma-ray spectrum. No known astrophysical process can produce such a signal in the 100 GeV - TeV range → “smoking gun” for DM detection. From the particle physics side, spectral features are predicted in simple
- models. The predicted rates are usually fairly small.
Other observations already constrain the possibility of observing gamma-ray spectral features. Important to assess the prospects to observe a signal in future experiments.
SLIDE 85 Conclusions
The indirect search for dark matter is hindered by the existence of large (and still poorly understood) astrophysical backgrounds. In order to claim a dark matter signal, it is necessary to devise strategies to suppress the backgrounds. A promising approach consists in searching for sharp features in the gamma-ray spectrum. No known astrophysical process can produce such a signal in the 100 GeV - TeV range → “smoking gun” for DM detection. From the particle physics side, spectral features are predicted in simple
- models. The predicted rates are usually fairly small.
Other observations already constrain the possibility of observing gamma-ray spectral features. Important to assess the prospects to observe a signal in future experiments.
Thank you for your attention!