DARK MATTER ANNIHILATION IN THE GALACTIC CENTER
Dan Hooper – Fermilab and the University of Chicago UCLA Dark Matter Conference February 18, 2016 10 Dan Hooper – DM Annihilation in the GC
Sorry if I sound like a broken record… 10
Reason 1: Overwhelming Statistical
Significance and Detailed Information
4 ! This excess consists of ~10 Thephotons Dark per square Matter meter, Interpretation per year (>1 GeV, within 10° of the Galactic Center) ! The spectral shape of the excess can be well fit by a dark matter Raw Mapparticle with a massResidual in the Map range (x3) of 7 to 12 GeV (similar to that required Dark Matter In The Galactic by CoGeNT, DAMA, and CRESST), annihilating primarily to τ+τ- Center Region (possibly among other leptons) ! The spectrum contains a bump-like feature at ~1-5 GeV
! The angular distribution of the ! Can be fit quite well by a simple 25-30 GeV dark matter particle, in a cusped signal is well fit by a halo profile withdistribution (γ~1.1), annihilating to bb with σv ~ 9 x 10-26 cm3/s -γ ρ(r) ~ r , with γ ~ 1.25 to 1.4 (in good agreement with expectations from simulations)
! The normalization of the signal requires the dark matter to have an annihilation cross section within a factor of a few of the value predicted for a simple thermal FIG. 9: The raw gamma-ray maps (left) andrelic the ( residualσv ~ 3x10 maps-26 after cm subtracting3/s) the best-fit Galactic di↵use model, 20 cm template, point sources, and isotropic template (right), in units of photons/cm2/s/sr. The right frames clearly contain a significant central and spatially extended excess, peaking at 1-3 GeV. Results are shown in galactic coordinates, and all maps ⇠ haveUCLA been smoothed DM by a 0.252014 Gaussian. of the Galactic Plane, while values greater Hooper than one and are Linden,not onlyPRD, elongated arXiv:1110.0006 along or perpendicular to the Galac- preferentially extended perpendicular to the plane. In tic Plane, but along any arbitrary orientation. Again, each case, the profile slope averaged over all orientations we find that that the quality of the fit worsens if the the is taken to be =1.3 (left) and 1.2 (right).UCLA From this DMtemplate 2012 is significantly elongated either along or per- figure, it is clear that the gamma-ray excess prefers to pendicular to the direction of the Galactic Plane. A mild be fit by an approximately spherically symmetric distri- statistical preference isDan found, Hooper however, - The for Hunt a morphology For Dark Matter L. Goodenough, D. Hooper, arXiv:0910.2998 bution, and disfavors any axis ratio which departs from with an axis ratio of 1.3-1.4 elongated along an axis ro- ⇠ FIG.unity 9: by The more raw than gamma-ray approximately maps (left) 20%. and the residual mapstated after subtracting35 counterclockwise the best-fit Galactic from the di↵ Galacticuse model, Plane 20 cm in template, point sources, and isotropic template (right), in unitsgalactic of photons/cm⇠ coordinates2/s/sr. (a similarThe right preference frames clearly was also contain found a In Fig. 11, we generalize this approach within our significant central and spatially extended excess, peaking at 1-3in GeV. our Results Inner Galaxy are shown analysis). in galactic While coordinates, this may and be aall statis- maps ⇠ UCLA DM 2010 haveGalactic been Center smoothed analysis by a 0.25 to testGaussian. morphologies that are of the Galactic Plane, while values greater than one are not only elongated along or perpendicular to the Galac- preferentially extended perpendicular to the plane. In tic Plane, but along any arbitrary orientation. Again, each case, the profile slope averaged over all orientations we find that that the quality of the fit worsens if the the is taken to be =1.3 (left) and 1.2 (right). From this template is significantly elongated either along or per- figure, it is clear that the gamma-ray excess prefers to pendicular to the direction of the Galactic Plane. A mild be fit by an approximately spherically symmetric distri- statistical preference is found, however, for a morphology bution, and disfavors any axis ratio which departs from with an axis ratio of 1.3-1.4 elongated along an axis ro- ⇠ unity by more than approximately 20%. tated 35 counterclockwise from the Galactic Plane in galactic⇠ coordinates (a similar preference was also found In Fig. 11, we generalize this approach within our in our Inner Galaxy analysis). While this may be a statis- Galactic Center analysis to test morphologies that are Dan Hooper – DM Annihilation in the GC
The Evolving Nature of the Galactic Center Debate
Dan Hooper – DM Annihilation in the GC
The Evolving Nature of the Galactic Center Debate UCLA 2010 There is no Galactic Center excess (“what are you smoking?”)
Dan Hooper – DM Annihilation in the GC
The Evolving Nature of the Galactic Center Debate UCLA 2010 There is no Galactic Center excess (“what are you smoking?”)
UCLA 2012 Sure there seems to be a Galactic Center excess, but 1) Are we sure that it is spatially extended? 2) Are we mismodeling standard diffuse emission mechanisms? 3) Is there really a Galactic Center excess?
Dan Hooper – DM Annihilation in the GC
The Evolving Nature of the Galactic Center Debate UCLA 2010 There is no Galactic Center excess (“what are you smoking?”)
UCLA 2012 Sure there seems to be a Galactic Center excess, but 1) Are we sure that it is spatially extended? 2) Are we mismodeling standard diffuse emission mechanisms? 3) Is there really a Galactic Center excess?
UCLA 2014 What is generating this excess? 1) A large population of centrally located millisecond pulsars? 2) A series of recent cosmic ray outbursts? 3) Annihilating dark matter? Dan Hooper – DM Annihilation in the GC
The Evolving Nature of the Galactic Center Debate UCLA 2010 There is no Galactic Center excess (“what are you smoking?”)*
UCLA 2012 Sure there seems to be a Galactic Center excess, but 1) Are we sure that it is spatially extended? 2) Are we mismodeling standard diffuse emission mechanisms? 3) Is there really a Galactic Center excess?
UCLA 2014 What is generating this excess? 1) A large population of centrally located millisecond pulsars? 2) A series of recent cosmic ray outbursts? 3) Annihilating dark matter? *Dave Klein was very supportive during this critical time Dan Hooper – DM Annihilation in the GC
The Basic Features of the GeV Excess 7
! Bright and highly statistically significant ! Distributed with spherical symmetry about the Galactic Center with a flux that falls as ~r -2.4, between ~0.06° and ~10° (if interpreted as annihilating dark matter, -1.2 ρDM ~ r between ~10-1500 pc)
! The spectrum of this excess peaks at 10 10 ~1-3 GeV, and is in good agreement with
FIG. 6: Left frame: The spectrum of the dark matter component, extracted from a fit in our standard ROI (1 < b < 20 , | | that predictedl < 20from ) for a templatea ~35-50 corresponding GeV to a generalizedWIMP NFW halo profile with an inner slope of =1.18 (normalized to the | | flux at an angle of 5 from the Galactic Center). Shown for comparison (solid line) is the spectrum predicted from a 43.0 GeV 26 3 3 2 annihilating darkto matterbb (for particle example) annihilating to b¯b with a cross section of v =2.25 10 cm /s [(0.4GeV/cm )/⇢local] . Right frame: ⇥ ⇥ as left frame, but for a full-sky ROI ( b > 1 ), with =1.28; shown for comparison (solid line) is the spectrum predicted from | | 26 3 3 2 a 36.6 GeV dark matter particle annihilating to b¯b with a cross section of v =0.75 10 cm /s [(0.4GeV/cm )/⇢local] . ! To normalize the observed signal with ⇥ ⇥
annihilating ofdark the Galactic matter, plane; masking a cross the region section with b < 2 sistent with that extracted at higher latitudes (see Ap- | | -26changes3 the preferred value to =1.25 in our default pendix A).7 Shown for comparison (as a solid line) is the of σv ~ 10 ROI, cm and/s =1 is. 29required over the whole sky. In contrast to spectrum predicted from (left panel) a 43.0 GeV dark Ref. [8], we find no significant di↵erence in the slope pre- matter particle annihilating to b¯b with a cross section 26 3 3 2 ferred by the fit over the standard ROI, and by a fit only of v =2.25 10 cm /s [(0.4 GeV/cm )/⇢local] , over the southern half (b<0) of the ROI (we also find and (right panel)⇥ a 36.6 GeV dark⇥ matter particle anni- DH, Goodenough (2009, 2010), DH, Linden (2011),26 no significant di↵erence between the fit over the full sky hilating to b¯b with a cross section of v =0.75 10 and the southern half of the full sky). ThisAbazajian can be seen, Kaplinghatcm3/s [(0.4 GeV(2012),/cm3)/⇢ Gordon,]2. The spectra Macias extracted⇥ (2013), ⇥ local directly from Fig. 5, where the full-skyDaylan and southern- et al (2014),for this component Calore are, Cholis in moderately, Weniger good agreement (2014) sky fits for the same level of masking are found to favor with the predictions of the dark matter models, yielding quite similar values of (the southern sky distribution fits of 2 = 44 and 64 over the 22 error bars between 0.3 is broader than that for the full sky simply due to the and 50 GeV. We emphasize that these uncertainties (and di↵erence in the number of photons). The best-fit values the resulting 2 values) are purely statistical, and there for gamma, from fits in the southern half of the standard are significant systematic uncertainties which are not ac- ROI and the southern half of the full sky, are 1.13 and counted for here (see the discussion in the appendices). 1.26 respectively. We also note that the spectral shape of the dark matter template is quite robust to variations in ,withinthe In Fig. 6, we show the spectrum of the emission cor- range where good fits are obtained (see Appendix A). related with the dark matter template in the default ROI and full-sky analysis, for their respective best-fit values of =1.18 and 1.28.6 We restrict to energies In Fig. 7, we plot the maps of the gamma-ray sky 50 GeV and lower to ensure numerical stability of the in four energy ranges after subtracting the best-fit dif- fit in the smaller ROI. While no significant emission is fuse model, Fermi Bubbles, and isotropic templates. In absorbed by this template at energies above 10 GeV, the 0.5-1 GeV, 1-3 GeV, and 3-10 GeV maps, the dark- ⇠ a bright and robust component is present at lower en- matter-like emission is clearly visible in the region sur- ergies, peaking near 1-3 GeV. Relative to the analy- rounding the Galactic Center. Much less central emission ⇠ sis of Ref. [8] (which used an incorrectly smoothed dif- is visible at 10-50 GeV, where the dark matter compo- fuse model), our spectrum is in both cases significantly nent is absent, or at least significantly less bright. harder at energies belowFIG. 1 10: GeV, The rendering raw gamma-ray it more maps (left)con- and the residual maps after subtracting the best-fit Galactic di↵use model, 20 cm template, point sources, and isotropic templateFIG. 10: (right),The raw in gamma-ray units of photons/cm maps (left)2/s/sr. and the The residual right mapsframes after clearly subtracting contain a the best-fit Galactic di↵use model, 20 cm 2 significant central and spatially extendedtemplate, excess, peaking point sources,at 1-3 GeV. and isotropicResults are template shown in (right), galactic in coordinates, units of photons/cm and all maps/s/sr. The right frames clearly contain a significant central and⇠ spatially extended excess, peaking at 1-3 GeV. Results are shown in galactic coordinates, and all maps have been smoothed by a 0.25 Gaussian. ⇠ have been7 An smoothed earlier by version a 0.25 ofGaussian. this work found this improvement only in 6 AcomparisonbetweenthetwoROIswith held constant is the presence of the CTBCORE cut; we now find this hardening presented in Appendix A.ing to a statical preference for such a componentindependent at the ofas the shown CTBCORE in the right cut. frame of Fig. 2, respectively). The level of 17 . In Fig. 8, we show theing spectrum to a statical of the preferencenormalizations for such a of component the Galactic at the Centeras and shown Inner in Galaxy the right frame of Fig. 2, respectively). The ⇠ level of 17 . In Fig. 8, we show the spectrum of the normalizations of the Galactic Center and Inner Galaxy dark-matter-like component, for values of ⇠=1.2 (left signals are compatible (see Figs. 6 and 8), although the frame) and =1.3 (right frame). Showndark-matter-like for compari- component,details for of thisvalues comparison of =1.2 depend (left onsignals the precise are compatible mor- (see Figs. 6 and 8), although the son is the spectrum predicted from aframe) 35.25 GeV and WIMP =1.3 (rightphology frame). that isShown adopted. for compari- details of this comparison depend on the precise mor- annihilating to b¯b. The solid line representsson is the the contribu- spectrum predicted from a 35.25 GeV WIMP phology that is adopted. annihilating to b¯b. The solidWe line note represents that the theFermi contribu-tool gtlike determines the tion from prompt emission, whereas the dot-dashed and We note that the Fermi tool gtlike determines the tion from prompt emission,quality whereas of the the fit dot-dashed assuming a and given spectral shape for dotted lines also include an estimate for the contribution quality of the fit assuming a given spectral shape for dotted lines also includethe an dark estimate matter for template, the contribution but does not generally provide from bremsstrahlung (for the z =0.15 and 0.3 kpc cases, the dark matter template, but does not generally provide from bremsstrahlung (fora model-independent the z =0.15 and 0.3 spectrum kpc cases, for this or other compo- a model-independent spectrum for this or other compo- Dan Hooper – DM Annihilation in the GC
8 10 0.5-1 GeV residual 1-3 GeV residual 20 20 20 12
15 10 10 10 10 10 -6 -6 counts/cm 8 counts/cm 10 6 0 0 4 2 2 5 /s/sr /s/sr -10 -10 2 0 0 -20 -20 -2 20 10 0 -10 -20 20 10 0 -10 -20
3-10 GeV residual 10-50 GeV residual 20 20 1.5 4 10 10 10 10 -6 -6
3 counts/cm 1.0 counts/cm
0 2 0 0.5 2 2 1 /s/sr /s/sr -10 -10 0 0.0 -20 -20 20 10 0 -10 -20 20 10 0 -10 -20
FIG. 10: The raw gamma-ray maps (left) and the residual maps after subtracting the best-fit Galactic di↵use model, 20 cm FIG. 7: Intensity maps (in galactic coordinates) after subtracting the point source model and best-fit Galactic di↵usetemplate, model, point sources, and isotropic template (right), in units of photons/cm2/s/sr. The right frames clearly contain a Fermi bubbles, and isotropic templates. Template coe cients are obtained from the fit including these three templatessignificant and central and spatially extended excess, peaking at 1-3 GeV. Results are shown in galactic coordinates, and all maps ⇠ a =1.3 DM-like template. Masked pixels are indicated in black. All maps have been smoothed to a common PSFhave of been 2 smoothed by a 0.25 Gaussian. degrees for display, before masking (the corresponding masks have not been smoothed; they reflect the actual masks used in the analysis). At energies between 0.5-10 GeV (i.e. in the first three frames), the dark-matter-like emission is clearly visible ⇠ around the Galactic Center. Daylaning to, a staticalFinkbeiner preference for such, DH, a component Linden, at the as shownSlatyer in the right, Rodd frame of Fig. (2014) 2, respectively). The level of 17 . In Fig. 8, we show the spectrum of the normalizations of the Galactic Center and Inner Galaxy dark-matter-like⇠ component, for values of =1.2 (left signals are compatible (see Figs. 6 and 8), although the V. THE GALACTIC CENTER 10.0 GeV. Included in the fit is a model for theframe) Galac- and =1.3 (right frame). Shown for compari- details of this comparison depend on the precise mor- tic di↵use emission, supplemented by a model spatiallyson is the spectrum predicted from a 35.25 GeV WIMP phology that is adopted. tracing the observed 20 cm emission [45], a modelannihilating for to b¯b. The solid line represents the contribu- We note that the Fermi tool gtlike determines the In this section, we describe our analysis of the Fermi the isotropic gamma-ray background, and all gamma-raytion from prompt emission, whereas the dot-dashed and quality of the fit assuming a given spectral shape for data from the region of the Galactic Center, defined as dotted lines also include an estimate for the contribution sources listed in the 2FGL catalog [46], as well as the the dark matter template, but does not generally provide b < 5 , l < 5 . We make use of the same Pass 7 data from bremsstrahlung (for the z =0.15 and 0.3 kpc cases, | | | | two additional point sources described in Ref. [47]. We a model-independent spectrum for this or other compo- set, with Q2 cuts on CTBCORE, as described in the pre- allow the flux and spectral shape of all high-significance vious section. We performed a binned likelihood analysis (pTS > 25) 2FGL sources located within 7 of the to this data set using the Fermi tool gtlike,dividing Galactic Center to vary. For somewhat more distant or the region into 200 200 spatial bins (each 0.05 0.05 ), lower significance sources ( =7 8 and pTS > 25, and 12 logarithmically-spaced⇥ energy bins between⇥ 0.316- Dan Hooper – DM Annihilation in the GC
Spectrum of the Residuals7
FIG. 6: Left frame: The spectrum of the dark matter component,! extracted from a fit in our standard ROI (1 < b < 20 , | | l < 20 ) for a template corresponding to a generalized NFW halo profile with an inner slope of =1.18 (normalized to the | | flux at an angle of 5 from the Galactic Center). Shown forInner comparison Galaxy (solid line) - is The the spectrum DM predictedtemplate from anaturally 43.0 GeV picks up the following spectral 26 3 3 2 dark matter particle annihilating to b¯b with a cross section of v =2.25 10 cm /s [(0.4GeV/cm )/⇢local] . Right frame: shape -⇥ the normalization⇥ of the NFW template is allowed to float as left frame, but for a full-sky ROI ( b > 1 ), with =1.28; shown for comparison (solid line) is the spectrum predicted from | | 26 3 3 2 a 36.6 GeV dark matter particle annihilating to b¯b with a cross section of v =0.75 10 cm /s [(0.4GeV/cm )/⇢local] . independently ⇥in every energy⇥ bin ! Daylan, Finkbeiner, DH, Linden, Slatyer, Rodd (2014) of the Galactic plane; masking the region with b < 2 sistent with that extracted at higher latitudes (see Ap- changes the preferred value to =1.25 in our| default| Galacticpendix A). Center7 Shown for - comparisonVarious (asinitial a solid seeds line) is the for the dark matter spectrum, the ROI, and =1.29 over the whole sky. In contrast to spectrum predicted from (left panel) a 43.0 GeV dark Ref. [8], we find no significant di↵erence in the slope pre-bestmatter fit spectrum particle annihilating is then to bcalculated¯b with a cross section and fed back into the fitting algorithm, 26 3 3 2 ferred by the fit over the standard ROI, and by a fit onlythe processof v =2.25 is 10repeated cm /s [(0iteratively.4 GeV/cm ) /until⇢local] ,a best fit solution is reached. We over the southern half (b<0) of the ROI (we also find and (right panel)⇥ a 36.6 GeV dark⇥ matter particle anni- 26 no significant di↵erence between the fit over the full skyfind hilatingthe final to b¯b withspectrum a cross section to be of vindependent=0.75 10 of the initial seed. 3 3 2 ⇥ and the southern half of the full sky). This can be seen cm /s [(0.4 GeV/cm )/⇢local] . The spectra extracted directly from Fig. 5, where the full-sky and southern- for this⇥ component are in moderately good agreement sky fits for the same level of masking are found to favor with the predictions of the dark matter models, yielding quite similar values of (the southern sky distribution fits of 2 = 44 and 64 over the 22 error bars between 0.3 is broader than that for the full sky simply due to the and 50 GeV. We emphasize that these uncertainties (and di↵erence in the number of photons). The best-fit values the resulting 2 values) are purely statistical, and there for gamma, from fits in the southern half of the standard are significant systematic uncertainties which are not ac- ROI and the southern half of the full sky, are 1.13 and counted for here (see the discussion in the appendices). 1.26 respectively. We also note that the spectral shape of the dark matter template is quite robust to variations in ,withinthe In Fig. 6, we show the spectrum of the emission cor- range where good fits are obtained (see Appendix A). related with the dark matter template in the default ROI and full-sky analysis, for their respective best-fit values of =1.18 and 1.28.6 We restrict to energies In Fig. 7, we plot the maps of the gamma-ray sky 50 GeV and lower to ensure numerical stability of the in four energy ranges after subtracting the best-fit dif- fit in the smaller ROI. While no significant emission is fuse model, Fermi Bubbles, and isotropic templates. In absorbed by this template at energies above 10 GeV, the 0.5-1 GeV, 1-3 GeV, and 3-10 GeV maps, the dark- ⇠ a bright and robust component is present at lower en- matter-like emission is clearly visible in the region sur- ergies, peaking near 1-3 GeV. Relative to the analy- rounding the Galactic Center. Much less central emission ⇠ sis of Ref. [8] (which used an incorrectly smoothed dif- is visible at 10-50 GeV, where the dark matter compo- fuse model), our spectrum is in both cases significantly nent is absent, or at least significantly less bright. harder at energies below 1 GeV, rendering it more con-
7 An earlier version of this work found this improvement only in 6 AcomparisonbetweenthetwoROIswith held constant is the presence of the CTBCORE cut; we now find this hardening presented in Appendix A. independent of the CTBCORE cut. Dan Hooper – DM Annihilation in the GC
An Excess Relative to What? Although it is clear at this point that Fermi has observed an excess relative to standard astrophysical background models, it is important and reasonable to be asking to what extent we can trust and rely upon the predictions of such background models
Are there any viable astrophysical models that can explain the excess?
Do variations in the background model significantly impact the characteristics of the residual excess? FERMILAB-PUB-14-289-A
Prepared for submission to JCAP Dan Hooper – DM Annihilation in the GC
Background model systematics for the Fermi GeV excess arXiv:1409.0042 Francesca Calore,a Ilias Cholisb and Christoph Wenigera Highly Recommended!
aGRAPPA, University of Amsterdam, Science Park 904, 1090 GL Amsterdam, Netherlands bFermi National Accelerator Laboratory, Center for Particle Astrophysics, Batavia, IL 60510, !USA First comprehensive study of the systematic uncertainties on the E-mail:[email protected] astrophysical, [email protected], [email protected] backgrounds Abstract.! ConsideredThe possible gamma-ray a very excess wide in the range inner Galaxy of and models, the Galactic center with (GC) extreme variation in suggested by Fermi-LAT observations has triggered a large number of studies. It has been interpretedcosmic as a variety ray ofsource di↵erent phenomena distribution such as a signaland from injection, WIMP dark matter gas distribution, diffusion, annihilation, gamma-ray emission from a population of millisecond pulsars, or emission from cosmicconvection, rays injected in a sequence re-acceleration, of burst-like events or continuouslyinterstellar at the GC.radiation We present and magnetic fields the first comprehensive study of model systematics coming from the Galactic di↵use emission in! the Not inner only part of does our Galaxy the and theirexcess impact onpersist the inferred for properties all such of the excess background models, the emission at Galactic latitudes 2 < b < 20 and 300 MeV to 500 GeV. We study both | | theoreticalspectral and empirical and model morphological systematics, which we deduceproperties from a large rangeof the of Galactic excess are “remarkably di↵use emission models and a principal component analysis of residuals in numerous test regionsstable” along the to Galactic these plane. variations We show that the hypothesis of an extended spherical excess emission with a uniform energy spectrum is compatible with the Fermi-LAT data in our! regionThe of excess interest at 95% does CL. Assuming not thatappear this excess to is the be extended the counterpart result ofof the the mismodeling of one seen in the inner few degrees of the Galaxy, we derive a lower limit of 10.0 (95% CL) on its extensionstandard away from astrophysical the GC. We show that, emission in light of the large processes correlated uncertainties that a↵ect the subtraction of the Galactic di↵use emission in the relevant regions, the energy spectrum of the excess is equally compatible with both a simple broken power-law of break energy E =2.1 0.2 GeV, and with spectra predicted by the self-annihilation of dark arXiv:1409.0042v1 [astro-ph.CO] 29 Aug 2014 break ± ¯ +6.4 matter, implying in the case of bb final states a dark matter mass of m = 49 5.4 GeV. Dan Hooper – DM Annihilation in the GC 5 10 GC excess spectrum with 60 GDE models
] stat. and corr. syst. errors 5 10 1
GCsr excess spectrum with
60 GDE models 1 ] stat. and corr. syst. errors s
1 6
2 10