Abstract
Recent evidence for an excess of gamma rays in the GeV energy range about the Galactic Center have refocused attention on models of dark matter in the low mass regime (mχ ≲ m Z /2). Because this is an experimentally well-trod energy range, it can be a challenge to develop simple models that explain this excess, consistent with other experimental constraints. We reconsider models where the dark matter couples to dark photon, which has a weak kinetic mixing to the Standard Model photon, or scalars with a weak mixing with the Higgs boson. We focus on the light (≲1.5 GeV) dark mediator mass regime. Annihilations into the dark mediators can produce observable gamma rays through decays to π0, through radiative processes when decaying to charged particles (e+e−, μ+μ−, . . .), and subsequent interactions of high energy e+e− with gas and light. However, these models have no signals of \( \overline{p} \) production, which is kinematically forbidden. We find that in these models, the shape of resulting gamma-ray spectrum can provide a good fit to the excess at Galactic Center. We discuss further constraints from AMS-02 and the CMB, and find regions of compatibility.
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References
G. Angloher et al., Results from 730 kg days of the CRESST-II dark matter search, Eur. Phys. J. C 72 (2012) 1971 [arXiv:1109.0702] [INSPIRE].
CoGeNT collaboration, C.E. Aalseth et al., Results from a search for light-mass dark matter with a P-type point contact germanium detector, Phys. Rev. Lett. 106 (2011) 131301 [arXiv:1002.4703] [INSPIRE].
J. Knodlseder et al., The all-sky distribution of 511 keV electron-positron annihilation emission, Astron. Astrophys. 441 (2005) 513 [astro-ph/0506026] [INSPIRE].
PAMELA collaboration, O. Adriani et al., An anomalous positron abundance in cosmic rays with energies 1.5-100 GeV, Nature 458 (2009) 607 [arXiv:0810.4995] [INSPIRE].
AMS collaboration, L. Accardo et al., High statistics measurement of the positron fraction in primary cosmic rays of 0.5-500 GeV with the Alpha Magnetic Spectrometer on the International Space Station, Phys. Rev. Lett. 113 (2014) 121101 [INSPIRE].
DAMA, LIBRA collaboration, R. Bernabei et al., New results from DAMA/LIBRA, Eur. Phys. J. C 67 (2010) 39 [arXiv:1002.1028] [INSPIRE].
L. Goodenough and D. Hooper, Possible evidence for dark matter annihilation in the inner milky way from the Fermi gamma ray space telescope, arXiv:0910.2998 [INSPIRE].
D. Hooper and L. Goodenough, Dark matter annihilation in the galactic center as seen by the Fermi gamma ray space telescope, Phys. Lett. B 697 (2011) 412 [arXiv:1010.2752] [INSPIRE].
D. Hooper and T. Linden, Gamma rays from the galactic center and the WMAP haze, Phys. Rev. D 83 (2011) 083517 [arXiv:1011.4520] [INSPIRE].
J. Han, C.S. Frenk, V.R. Eke, L. Gao and S.D.M. White, Evidence for extended gamma-ray emission from galaxy clusters, arXiv:1201.1003 [INSPIRE].
K.N. Abazajian and M. Kaplinghat, Detection of a gamma-ray source in the galactic center consistent with extended emission from dark matter annihilation and concentrated astrophysical emission, Phys. Rev. D 86 (2012) 083511 [Erratum ibid. D 87 (2013) 129902] [arXiv:1207.6047] [INSPIRE].
W.-C. Huang, A. Urbano and W. Xue, Fermi bubbles under dark matter scrutiny. Part I: astrophysical analysis, arXiv:1307.6862 [INSPIRE].
C. Gordon and O. Macias, Dark matter and pulsar model constraints from galactic center Fermi-LAT gamma ray observations, Phys. Rev. D 88 (2013) 083521 [Erratum ibid. D 89 (2014) 049901] [arXiv:1306.5725] [INSPIRE].
K.N. Abazajian, N. Canac, S. Horiuchi and M. Kaplinghat, Astrophysical and dark matter interpretations of extended gamma-ray emission from the galactic center, Phys. Rev. D 90 (2014) 023526 [arXiv:1402.4090] [INSPIRE].
T. Daylan et al., The characterization of the gamma-ray signal from the central milky way: a compelling case for annihilating dark matter, arXiv:1402.6703 [INSPIRE].
B. Zhou et al., GeV excess in the milky way: the role of diffuse galactic gamma-ray emission templates, Phys. Rev. D 91 (2015) 123010 [arXiv:1406.6948] [INSPIRE].
F. Calore, I. Cholis and C. Weniger, Background model systematics for the Fermi GeV excess, JCAP 03 (2015) 038 [arXiv:1409.0042] [INSPIRE].
C. Boehm, M.J. Dolan, C. McCabe, M. Spannowsky and C.J. Wallace, Extended gamma-ray emission from coy dark matter, JCAP 05 (2014) 009 [arXiv:1401.6458] [INSPIRE].
W.-C. Huang, A. Urbano and W. Xue, Fermi bubbles under dark matter scrutiny. Part II: particle physics analysis, JCAP 04 (2014) 020 [arXiv:1310.7609] [INSPIRE].
A. Alves, S. Profumo, F.S. Queiroz and W. Shepherd, Effective field theory approach to the galactic center gamma-ray excess, Phys. Rev. D 90 (2014) 115003 [arXiv:1403.5027] [INSPIRE].
A. Berlin, D. Hooper and S.D. McDermott, Simplified dark matter models for the galactic center gamma-ray excess, Phys. Rev. D 89 (2014) 115022 [arXiv:1404.0022] [INSPIRE].
S. Ipek, D. McKeen and A.E. Nelson, A renormalizable model for the galactic center gamma ray excess from dark matter annihilation, Phys. Rev. D 90 (2014) 055021 [arXiv:1404.3716] [INSPIRE].
T. Bringmann, M. Vollmann and C. Weniger, Updated cosmic-ray and radio constraints on light dark matter: implications for the GeV gamma-ray excess at the galactic center, Phys. Rev. D 90 (2014) 123001 [arXiv:1406.6027] [INSPIRE].
M. Cirelli, D. Gaggero, G. Giesen, M. Taoso and A. Urbano, Antiproton constraints on the GeV gamma-ray excess: a comprehensive analysis, JCAP 12 (2014) 045 [arXiv:1407.2173] [INSPIRE].
Fermi-LAT collaboration, A.A. Abdo et al., Observations of milky way dwarf spheroidal galaxies with the Fermi-LAT detector and constraints on dark matter models, Astrophys. J. 712 (2010) 147 [arXiv:1001.4531] [INSPIRE].
A. Geringer-Sameth and S.M. Koushiappas, Exclusion of canonical WIMPs by the joint analysis of milky way dwarfs with Fermi, Phys. Rev. Lett. 107 (2011) 241303 [arXiv:1108.2914] [INSPIRE].
Fermi-LAT collaboration, M. Ackermann et al., Dark matter constraints from observations of 25 milky way satellite galaxies with the Fermi Large Area Telescope, Phys. Rev. D 89 (2014) 042001 [arXiv:1310.0828] [INSPIRE].
K.C.Y. Ng et al., Resolving small-scale dark matter structures using multisource indirect detection, Phys. Rev. D 89 (2014) 083001 [arXiv:1310.1915] [INSPIRE].
D. Hooper, T. Linden and P. Mertsch, What does the PAMELA antiproton spectrum tell us about dark matter?, JCAP 03 (2015) 021 [arXiv:1410.1527] [INSPIRE].
L.A. Anchordoqui and B.J. Vlcek, W-WIMP annihilation as a source of the Fermi bubbles, Phys. Rev. D 88 (2013) 043513 [arXiv:1305.4625] [INSPIRE].
K.P. Modak, D. Majumdar and S. Rakshit, A possible explanation of low energy γ-ray excess from galactic centre and Fermi bubble by a dark matter model with two real scalars, JCAP 03 (2015) 011 [arXiv:1312.7488] [INSPIRE].
J. Guo, J. Li, T. Li and A.G. Williams, NMSSM explanations of the galactic center gamma ray excess and promising LHC searches, Phys. Rev. D 91 (2015) 095003 [arXiv:1409.7864] [INSPIRE].
J.-H. Yu, Vector fermion-portal dark matter: direct detection and galactic center gamma-ray excess, Phys. Rev. D 90 (2014) 095010 [arXiv:1409.3227] [INSPIRE].
M. Cahill-Rowley, J. Gainer, J. Hewett and T. Rizzo, Towards a supersymmetric description of the Fermi galactic center excess, JHEP 02 (2015) 057 [arXiv:1409.1573] [INSPIRE].
D. Borah and A. Dasgupta, Galactic center gamma ray excess in a radiative neutrino mass model, Phys. Lett. B 741 (2015) 103 [arXiv:1409.1406] [INSPIRE].
A.D. Banik and D. Majumdar, Low energy gamma ray excess confronting a singlet scalar extended inert doublet dark matter model, Phys. Lett. B 743 (2015) 420 [arXiv:1408.5795] [INSPIRE].
N. Okada and O. Seto, Galactic center gamma-ray excess from two-Higgs-doublet-portal dark matter, Phys. Rev. D 90 (2014) 083523 [arXiv:1408.2583] [INSPIRE].
C. Cheung, M. Papucci, D. Sanford, N.R. Shah and K.M. Zurek, NMSSM interpretation of the galactic center excess, Phys. Rev. D 90 (2014) 075011 [arXiv:1406.6372] [INSPIRE].
T. Mondal and T. Basak, Class of Higgs-portal dark matter models in the light of gamma-ray excess from galactic center, Phys. Lett. B 744 (2015) 208 [arXiv:1405.4877] [INSPIRE].
A. Berlin, P. Gratia, D. Hooper and S.D. McDermott, Hidden sector dark matter models for the galactic center gamma-ray excess, Phys. Rev. D 90 (2014) 015032 [arXiv:1405.5204] [INSPIRE].
D.K. Ghosh, S. Mondal and I. Saha, Confronting the galactic center gamma ray excess with a light scalar dark matter, JCAP 02 (2015) 035 [arXiv:1405.0206] [INSPIRE].
P. Ko, W.-I. Park and Y. Tang, Higgs portal vector dark matter for GeV scale γ-ray excess from galactic center, JCAP 09 (2014) 013 [arXiv:1404.5257] [INSPIRE].
C. Balázs and T. Li, Simplified dark matter models confront the gamma ray excess, Phys. Rev. D 90 (2014) 055026 [arXiv:1407.0174] [INSPIRE].
P. Agrawal, B. Batell, D. Hooper and T. Lin, Flavored dark matter and the galactic center gamma-ray excess, Phys. Rev. D 90 (2014) 063512 [arXiv:1404.1373] [INSPIRE].
P. Agrawal, M. Blanke and K. Gemmler, Flavored dark matter beyond minimal flavor violation, JHEP 10 (2014) 072 [arXiv:1405.6709] [INSPIRE].
E. Izaguirre, G. Krnjaic and B. Shuve, The galactic center excess from the bottom up, Phys. Rev. D 90 (2014) 055002 [arXiv:1404.2018] [INSPIRE].
D.G. Cerdeño, M. Peiró and S. Robles, Low-mass right-handed sneutrino dark matter: SuperCDMS and LUX constraints and the galactic centre gamma-ray excess, JCAP 08 (2014) 005 [arXiv:1404.2572] [INSPIRE].
C. Boehm, M.J. Dolan and C. McCabe, A weighty interpretation of the galactic centre excess, Phys. Rev. D 90 (2014) 023531 [arXiv:1404.4977] [INSPIRE].
L. Wang and X.-F. Han, A simplified 2HDM with a scalar dark matter and the galactic center gamma-ray excess, Phys. Lett. B 739 (2014) 416 [arXiv:1406.3598] [INSPIRE].
B.D. Fields, S.L. Shapiro and J. Shelton, Galactic center gamma-ray excess from dark matter annihilation: is there a black hole spike?, Phys. Rev. Lett. 113 (2014) 151302 [arXiv:1406.4856] [INSPIRE].
C. Arina, E. Del Nobile and P. Panci, Dark matter with pseudoscalar-mediated interactions explains the DAMA signal and the galactic center excess, Phys. Rev. Lett. 114 (2015) 011301 [arXiv:1406.5542] [INSPIRE].
J. Huang, T. Liu, L.-T. Wang and F. Yu, Supersymmetric subelectroweak scale dark matter, the galactic center gamma-ray excess and exotic decays of the 125 GeV Higgs boson, Phys. Rev. D 90 (2014) 115006 [arXiv:1407.0038] [INSPIRE].
P. Ko and Y. Tang, Galactic center γ-ray excess in hidden sector DM models with dark gauge symmetries: local Z 3 symmetry as an example, JCAP 01 (2015) 023 [arXiv:1407.5492] [INSPIRE].
J. Cao, L. Shang, P. Wu, J.M. Yang and Y. Zhang, Supersymmetry explanation of the Fermi galactic center excess and its test at LHC run II, Phys. Rev. D 91 (2015) 055005 [arXiv:1410.3239] [INSPIRE].
K. Ghorbani, Fermionic dark matter with pseudo-scalar Yukawa interaction, JCAP 01 (2015) 015 [arXiv:1408.4929] [INSPIRE].
M. Heikinheimo and C. Spethmann, Galactic centre GeV photons from dark technicolor, JHEP 12 (2014) 084 [arXiv:1410.4842] [INSPIRE].
K. Cheung, W.-C. Huang and Y.-L.S. Tsai, Non-Abelian dark matter solutions for galactic gamma-ray excess and perseus 3.5 keV X-ray line, JCAP 05 (2015) 053 [arXiv:1411.2619] [INSPIRE].
P. Agrawal, B. Batell, P.J. Fox and R. Harnik, WIMPs at the galactic center, JCAP 05 (2015) 011 [arXiv:1411.2592] [INSPIRE].
D. Hooper, N. Weiner and W. Xue, Dark forces and light dark matter, Phys. Rev. D 86 (2012) 056009 [arXiv:1206.2929] [INSPIRE].
D.P. Finkbeiner and N. Weiner, An X-ray line from eXciting dark matter, arXiv:1402.6671 [INSPIRE].
M. Pospelov, A. Ritz and M.B. Voloshin, Secluded WIMP dark matter, Phys. Lett. B 662 (2008) 53 [arXiv:0711.4866] [INSPIRE].
N. Arkani-Hamed, D.P. Finkbeiner, T.R. Slatyer and N. Weiner, A theory of dark matter, Phys. Rev. D 79 (2009) 015014 [arXiv:0810.0713] [INSPIRE].
M. Pospelov and A. Ritz, Astrophysical signatures of secluded dark matter, Phys. Lett. B 671 (2009) 391 [arXiv:0810.1502] [INSPIRE].
J. Mardon, Y. Nomura, D. Stolarski and J. Thaler, Dark matter signals from cascade annihilations, JCAP 05 (2009) 016 [arXiv:0901.2926] [INSPIRE].
E. Gabrielli and M. Raidal, Exponentially spread dynamical Yukawa couplings from nonperturbative chiral symmetry breaking in the dark sector, Phys. Rev. D 89 (2014) 015008 [arXiv:1310.1090] [INSPIRE].
B. Holdom, Two U(1)’s and epsilon charge shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
C. Boehm, T.A. Ensslin and J. Silk, Can annihilating dark matter be lighter than a few GeVs?, J. Phys. G 30 (2004) 279 [astro-ph/0208458] [INSPIRE].
C. Boehm and P. Fayet, Scalar dark matter candidates, Nucl. Phys. B 683 (2004) 219 [hep-ph/0305261] [INSPIRE].
APEX collaboration, S. Abrahamyan et al., Search for a new gauge boson in electron-nucleus fixed-target scattering by the APEX experiment, Phys. Rev. Lett. 107 (2011)191804 [arXiv:1108.2750] [INSPIRE].
A1 collaboration, H. Merkel et al., Search for light gauge bosons of the dark sector at the Mainz Microtron, Phys. Rev. Lett. 106 (2011) 251802 [arXiv:1101.4091] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for a dark photon in e + e − collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
CLEO collaboration, W. Love et al., Search for very light CP-odd Higgs boson in radiative decays of Υ(1S), Phys. Rev. Lett. 101 (2008) 151802 [arXiv:0807.1427] [INSPIRE].
Heavy Photon Search collaboration (HPS) webpage, https://confluence.slac.stanford.edu/display/hpsg/.
Y. Kahn, Searching for an invisible dark photon with DarkLight, AIP Conf. Proc. 1563 (2013) 131 [INSPIRE].
A. Martin, J. Shelton and J. Unwin, Fitting the galactic center gamma-ray excess with cascade annihilations, Phys. Rev. D 90 (2014) 103513 [arXiv:1405.0272] [INSPIRE].
M. Abdullah, A. DiFranzo, A. Rajaraman, T.M.P. Tait, P. Tanedo and A.M. Wijangco, Hidden on-shell mediators for the galactic center γ-ray excess, Phys. Rev. D 90 (2014) 035004 [arXiv:1404.6528] [INSPIRE].
J.M. Cline, G. Dupuis, Z. Liu and W. Xue, The windows for kinetically mixed Z ′ -mediated dark matter and the galactic center gamma ray excess, JHEP 08 (2014) 131 [arXiv:1405.7691] [INSPIRE].
K. Schutz and T.R. Slatyer, Self-scattering for dark matter with an excited state, JCAP 01 (2015) 021 [arXiv:1409.2867] [INSPIRE].
T.R. Slatyer, N. Padmanabhan and D.P. Finkbeiner, CMB constraints on WIMP annihilation: energy absorption during the recombination epoch, Phys. Rev. D 80 (2009) 043526 [arXiv:0906.1197] [INSPIRE].
D.P. Finkbeiner, S. Galli, T. Lin and T.R. Slatyer, Searching for dark matter in the CMB: a compact parameterization of energy injection from new physics, Phys. Rev. D 85 (2012) 043522 [arXiv:1109.6322] [INSPIRE].
M.S. Madhavacheril, N. Sehgal and T.R. Slatyer, Current dark matter annihilation constraints from CMB and low-redshift data, Phys. Rev. D 89 (2014) 103508 [arXiv:1310.3815] [INSPIRE].
M. Cirelli, P.D. Serpico and G. Zaharijas, Bremsstrahlung gamma rays from light dark matter, JCAP 11 (2013) 035 [arXiv:1307.7152] [INSPIRE].
T. Lacroix, C. Boehm and J. Silk, Fitting the Fermi-LAT GeV excess: on the importance of including the propagation of electrons from dark matter, Phys. Rev. D 90 (2014) 043508 [arXiv:1403.1987] [INSPIRE].
K.N. Abazajian, N. Canac, S. Horiuchi, M. Kaplinghat and A. Kwa, Discovery of a new galactic center excess consistent with upscattered starlight, JCAP 07 (2015) 013 [arXiv:1410.6168] [INSPIRE].
R. Essig et al., Working group report: new light weakly coupled particles, arXiv:1311.0029 [INSPIRE].
E.M. Riordan et al., A search for short lived axions in an electron beam dump experiment, Phys. Rev. Lett. 59 (1987) 755 [INSPIRE].
J.D. Bjorken et al., Search for neutral metastable penetrating particles produced in the SLAC beam dump, Phys. Rev. D 38 (1988) 3375 [INSPIRE].
A. Bross, M. Crisler, S.H. Pordes, J. Volk, S. Errede and J. Wrbanek, A search for shortlived particles produced in an electron beam dump, Phys. Rev. Lett. 67 (1991) 2942 [INSPIRE].
M. Freytsis, G. Ovanesyan and J. Thaler, Dark force detection in low energy e-p collisions, JHEP 01 (2010) 111 [arXiv:0909.2862] [INSPIRE].
J. Balewski et al., DarkLight: a search for dark forces at the Jefferson laboratory free-electron laser facility, arXiv:1307.4432 [INSPIRE].
SuperCDMS collaboration, R. Agnese et al., Search for low-mass weakly interacting massive particles with SuperCDMS, Phys. Rev. Lett. 112 (2014) 241302 [arXiv:1402.7137] [INSPIRE].
LUX collaboration, D.S. Akerib et al., First results from the LUX dark matter experiment at the Sanford Underground Research Facility, Phys. Rev. Lett. 112 (2014) 091303 [arXiv:1310.8214] [INSPIRE].
D. Tucker-Smith and N. Weiner, Inelastic dark matter, Phys. Rev. D 64 (2001) 043502 [hep-ph/0101138] [INSPIRE].
L. Bergstrom, T. Bringmann, I. Cholis, D. Hooper and C. Weniger, New limits on dark matter annihilation from AMS cosmic ray positron data, Phys. Rev. Lett. 111 (2013) 171101 [arXiv:1306.3983] [INSPIRE].
D. Hooper and W. Xue, Possibility of testing the light dark matter hypothesis with the Alpha Magnetic Spectrometer, Phys. Rev. Lett. 110 (2013) 041302 [arXiv:1210.1220] [INSPIRE].
A. Ibarra, A.S. Lamperstorfer and J. Silk, Dark matter annihilations and decays after the AMS-02 positron measurements, Phys. Rev. D 89 (2014) 063539 [arXiv:1309.2570] [INSPIRE].
C. Evoli, D. Gaggero, D. Grasso and L. Maccione, Cosmic-ray nuclei, antiprotons and gamma-rays in the galaxy: a new diffusion model, JCAP 10 (2008) 018 [arXiv:0807.4730] [INSPIRE].
M.S. Pshirkov, P.G. Tinyakov, P.P. Kronberg and K.J. Newton-McGee, Deriving global structure of the galactic magnetic field from Faraday rotation measures of extragalactic sources, Astrophys. J. 738 (2011) 192 [arXiv:1103.0814] [INSPIRE].
G. Di Bernardo, C. Evoli, D. Gaggero, D. Grasso and L. Maccione, Cosmic ray electrons, positrons and the synchrotron emission of the galaxy: consistent analysis and implications, JCAP 03 (2013) 036 [arXiv:1210.4546] [INSPIRE].
X.-L. Chen and M. Kamionkowski, Particle decays during the cosmic dark ages, Phys. Rev. D 70 (2004) 043502 [astro-ph/0310473] [INSPIRE].
N. Padmanabhan and D.P. Finkbeiner, Detecting dark matter annihilation with CMB polarization: signatures and experimental prospects, Phys. Rev. D 72 (2005) 023508 [astro-ph/0503486] [INSPIRE].
S. Galli, F. Iocco, G. Bertone and A. Melchiorri, CMB constraints on dark matter models with large annihilation cross-section, Phys. Rev. D 80 (2009) 023505 [arXiv:0905.0003] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
J.M. Cline and P. Scott, Dark matter CMB constraints and likelihoods for poor particle physicists, JCAP 03 (2013) 044 [Erratum ibid. 05 (2013) E01] [arXiv:1301.5908] [INSPIRE].
F. Calore, I. Cholis, C. McCabe and C. Weniger, A tale of tails: dark matter interpretations of the Fermi GeV excess in light of background model systematics, Phys. Rev. D 91 (2015) 063003 [arXiv:1411.4647] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of particle physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
M.R. Whalley, A Compilation of data on hadronic total cross-sections in e + e − interactions, J. Phys. G 29 (2003) A1 [INSPIRE].
Hepdata on-line data review webpage, http://hepdata.cedar.ac.uk/review/rsig/.
J.F. Gunion, H.E. Haber, G.L. Kane and S. Dawson, The Higgs hunter’s guide, Front. Phys. 80 (2000) 1 [INSPIRE].
J.D. Clarke, R. Foot and R.R. Volkas, Phenomenology of a very light scalar (100 MeV < m h < 10 GeV) mixing with the SM Higgs, JHEP 02 (2014) 123 [arXiv:1310.8042] [INSPIRE].
A. Hoefer, J. Gluza and F. Jegerlehner, Pion pair production with higher order radiative corrections in low energy e + e − collisions, Eur. Phys. J. C 24 (2002) 51 [hep-ph/0107154] [INSPIRE].
J. Gluza, A. Hoefer, S. Jadach and F. Jegerlehner, Measuring the FSR inclusive π + π − cross-section, Eur. Phys. J. C 28 (2003) 261 [hep-ph/0212386] [INSPIRE].
E. Byckling and K. Kajantie, N -particle phase space in terms of invariant momentum transfers, Nucl. Phys. B 9 (1969) 568 [INSPIRE].
B.P. Kersevan and E. Richter-Was, Improved phase space treatment of massive multi-particle final states, Eur. Phys. J. C 39 (2005) 439 [hep-ph/0405248] [INSPIRE].
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Liu, J., Weiner, N. & Xue, W. Signals of a light dark force in the galactic center. J. High Energ. Phys. 2015, 50 (2015). https://doi.org/10.1007/JHEP08(2015)050
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DOI: https://doi.org/10.1007/JHEP08(2015)050