Abstract
An analysis of sub-MeV dark photon as dark matter is given which is achieved with two hidden sectors, one of which interacts directly with the visible sector while the second has only indirect coupling with the visible sector. The formalism for the evolution of three bath temperatures for the visible sector and the two hidden sectors is developed and utilized in solution of Boltzmann equations coupling the three sectors. We present exclusion plots where the sub-MeV dark photon can be dark matter. The analysis can be extended to a multi-temperature universe with multiple hidden sectors and multiple heat baths.
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M.R. Buckley and P.J. Fox, Dark Matter Self-Interactions and Light Force Carriers, Phys. Rev. D 81 (2010) 083522 [arXiv:0911.3898] [INSPIRE].
A. Loeb and N. Weiner, Cores in Dwarf Galaxies from Dark Matter with a Yukawa Potential, Phys. Rev. Lett. 106 (2011) 171302 [arXiv:1011.6374] [INSPIRE].
M. Kaplinghat, S. Tulin and H.-B. Yu, Dark Matter Halos as Particle Colliders: Unified Solution to Small-Scale Structure Puzzles from Dwarfs to Clusters, Phys. Rev. Lett. 116 (2016) 041302 [arXiv:1508.03339] [INSPIRE].
L. Sagunski, S. Gad-Nasr, B. Colquhoun, A. Robertson and S. Tulin, Velocity-dependent Self-interacting Dark Matter from Groups and Clusters of Galaxies, JCAP 01 (2021) 024 [arXiv:2006.12515] [INSPIRE].
A. Aboubrahim, W.-Z. Feng, P. Nath and Z.-Y. Wang, Self-interacting hidden sector dark matter, small scale galaxy structure anomalies, and a dark force, Phys. Rev. D 103 (2021) 075014 [arXiv:2008.00529] [INSPIRE].
K. Kaneta, H.-S. Lee and S. Yun, Portal Connecting Dark Photons and Axions, Phys. Rev. Lett. 118 (2017) 101802 [arXiv:1611.01466] [INSPIRE].
K. Kaneta, H.-S. Lee and S. Yun, Dark photon relic dark matter production through the dark axion portal, Phys. Rev. D 95 (2017) 115032 [arXiv:1704.07542] [INSPIRE].
R.T. Co, A. Pierce, Z. Zhang and Y. Zhao, Dark Photon Dark Matter Produced by Axion Oscillations, Phys. Rev. D 99 (2019) 075002 [arXiv:1810.07196] [INSPIRE].
J.A. Dror, K. Harigaya and V. Narayan, Parametric Resonance Production of Ultralight Vector Dark Matter, Phys. Rev. D 99 (2019) 035036 [arXiv:1810.07195] [INSPIRE].
P. Agrawal, N. Kitajima, M. Reece, T. Sekiguchi and F. Takahashi, Relic Abundance of Dark Photon Dark Matter, Phys. Lett. B 801 (2020) 135136 [arXiv:1810.07188] [INSPIRE].
A.J. Long and L.-T. Wang, Dark Photon Dark Matter from a Network of Cosmic Strings, Phys. Rev. D 99 (2019) 063529 [arXiv:1901.03312] [INSPIRE].
G. Alonso-Álvarez, T. Hugle and J. Jaeckel, Misalignment & Co.: (Pseudo-)scalar and vector dark matter with curvature couplings, JCAP 02 (2020) 014 [arXiv:1905.09836] [INSPIRE].
Y. Nakai, R. Namba and Z. Wang, Light Dark Photon Dark Matter from Inflation, JHEP 12 (2020) 170 [arXiv:2004.10743] [INSPIRE].
G. Choi, T.T. Yanagida and N. Yokozaki, Dark photon dark matter in the minimal B – L model, JHEP 01 (2021) 057 [arXiv:2008.12180] [INSPIRE].
C. Delaunay, T. Ma and Y. Soreq, Stealth decaying spin-1 dark matter, JHEP 02 (2021) 010 [arXiv:2009.03060] [INSPIRE].
P.W. Graham, J. Mardon and S. Rajendran, Vector Dark Matter from Inflationary Fluctuations, Phys. Rev. D 93 (2016) 103520 [arXiv:1504.02102] [INSPIRE].
Y. Ema, K. Nakayama and Y. Tang, Production of purely gravitational dark matter: the case of fermion and vector boson, JHEP 07 (2019) 060 [arXiv:1903.10973] [INSPIRE].
A. Ahmed, B. Grzadkowski and A. Socha, Gravitational production of vector dark matter, JHEP 08 (2020) 059 [arXiv:2005.01766] [INSPIRE].
S. Tulin and H.-B. Yu, Dark Matter Self-interactions and Small Scale Structure, Phys. Rept. 730 (2018) 1 [arXiv:1705.02358] [INSPIRE].
J. Alexander et al., Dark Sectors 2016 Workshop: Community Report, arXiv:1608.08632 [INSPIRE].
M. Fabbrichesi, E. Gabrielli and G. Lanfranchi, The Dark Photon, arXiv:2005.01515 [INSPIRE].
I.M. Bloch, R. Essig, K. Tobioka, T. Volansky and T.-T. Yu, Searching for Dark Absorption with Direct Detection Experiments, JHEP 06 (2017) 087 [arXiv:1608.02123] [INSPIRE].
M. Pospelov, A. Ritz and M.B. Voloshin, Bosonic super-WIMPs as keV-scale dark matter, Phys. Rev. D 78 (2008) 115012 [arXiv:0807.3279] [INSPIRE].
J.E. Kim and D.J.E. Marsh, An ultralight pseudoscalar boson, Phys. Rev. D 93 (2016) 025027 [arXiv:1510.01701] [INSPIRE].
L. Hui, J.P. Ostriker, S. Tremaine and E. Witten, Ultralight scalars as cosmological dark matter, Phys. Rev. D 95 (2017) 043541 [arXiv:1610.08297] [INSPIRE].
J. Halverson, C. Long and P. Nath, Ultralight axion in supersymmetry and strings and cosmology at small scales, Phys. Rev. D 96 (2017) 056025 [arXiv:1703.07779] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [arXiv:1807.06209] [INSPIRE].
B. Holdom, Two U(1)’s and Epsilon Charge Shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].
M. Dutra, M. Lindner, S. Profumo, F.S. Queiroz, W. Rodejohann and C. Siqueira, MeV Dark Matter Complementarity and the Dark Photon Portal, JCAP 03 (2018) 037 [arXiv:1801.05447] [INSPIRE].
B. Körs and P. Nath, A Stueckelberg extension of the standard model, Phys. Lett. B 586 (2004) 366 [hep-ph/0402047] [INSPIRE].
K. Cheung and T.-C. Yuan, Hidden fermion as milli-charged dark matter in Stueckelberg Z- prime model, JHEP 03 (2007) 120 [hep-ph/0701107] [INSPIRE].
D. Feldman, Z. Liu and P. Nath, The Stueckelberg Z Prime at the LHC: Discovery Potential, Signature Spaces and Model Discrimination, JHEP 11 (2006) 007 [hep-ph/0606294] [INSPIRE].
D. Feldman, Z. Liu and P. Nath, The Stueckelberg Z-prime Extension with Kinetic Mixing and Milli-Charged Dark Matter From the Hidden Sector, Phys. Rev. D 75 (2007) 115001 [hep-ph/0702123] [INSPIRE].
A. Aboubrahim and P. Nath, Detecting hidden sector dark matter at HL-LHC and HE-LHC via long-lived stau decays, Phys. Rev. D 99 (2019) 055037 [arXiv:1902.05538] [INSPIRE].
L.J. Hall, K. Jedamzik, J. March-Russell and S.M. West, Freeze-In Production of FIMP Dark Matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
A. Aboubrahim, W.-Z. Feng and P. Nath, A long-lived stop with freeze-in and freeze-out dark matter in the hidden sector, JHEP 02 (2020) 118 [arXiv:1910.14092] [INSPIRE].
A. Aboubrahim, W.-Z. Feng and P. Nath, Expanding the parameter space of natural supersymmetry, JHEP 04 (2020) 144 [arXiv:2003.02267] [INSPIRE].
S. Koren and R. McGehee, Freezing-in twin dark matter, Phys. Rev. D 101 (2020) 055024 [arXiv:1908.03559] [INSPIRE].
Y. Du, F. Huang, H.-L. Li and J.-H. Yu, Freeze-in Dark Matter from Secret Neutrino Interactions, JHEP 12 (2020) 207 [arXiv:2005.01717] [INSPIRE].
J.L. Feng, H. Tu and H.-B. Yu, Thermal Relics in Hidden Sectors, JCAP 10 (2008) 043 [arXiv:0808.2318] [INSPIRE].
X. Chu, T. Hambye and M.H.G. Tytgat, The Four Basic Ways of Creating Dark Matter Through a Portal, JCAP 05 (2012) 034 [arXiv:1112.0493] [INSPIRE].
L. Ackerman, M.R. Buckley, S.M. Carroll and M. Kamionkowski, Dark Matter and Dark Radiation, Phys. Rev. D 79 (2009) 023519 [arXiv:0810.5126] [INSPIRE].
R. Foot and S. Vagnozzi, Dissipative hidden sector dark matter, Phys. Rev. D 91 (2015) 023512 [arXiv:1409.7174] [INSPIRE].
R. Foot and S. Vagnozzi, Solving the small-scale structure puzzles with dissipative dark matter, JCAP 07 (2016) 013 [arXiv:1602.02467] [INSPIRE].
T. Hambye, M.H.G. Tytgat, J. Vandecasteele and L. Vanderheyden, Dark matter from dark photons: a taxonomy of dark matter production, Phys. Rev. D 100 (2019) 095018 [arXiv:1908.09864] [INSPIRE].
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
G.B. Gelmini, P. Gondolo and E. Roulet, Neutralino dark matter searches, Nucl. Phys. B 351 (1991) 623 [INSPIRE].
S.D. McDermott, H.H. Patel and H. Ramani, Dark Photon Decay Beyond The Euler-Heisenberg Limit, Phys. Rev. D 97 (2018) 073005 [arXiv:1705.00619] [INSPIRE].
T. Bringmann, Particle Models and the Small-Scale Structure of Dark Matter, New J. Phys. 11 (2009) 105027 [arXiv:0903.0189] [INSPIRE].
A. Bhoonah, J. Bramante, F. Elahi and S. Schon, Galactic Center gas clouds and novel bounds on ultralight dark photon, vector portal, strongly interacting, composite, and super-heavy dark matter, Phys. Rev. D 100 (2019) 023001 [arXiv:1812.10919] [INSPIRE].
J. Redondo and M. Postma, Massive hidden photons as lukewarm dark matter, JCAP 02 (2009) 005 [arXiv:0811.0326] [INSPIRE].
A. Caputo, H. Liu, S. Mishra-Sharma and J.T. Ruderman, Dark Photon Oscillations in Our Inhomogeneous Universe, Phys. Rev. Lett. 125 (2020) 221303 [arXiv:2002.05165] [INSPIRE].
A.A. Garcia, K. Bondarenko, S. Ploeckinger, J. Pradler and A. Sokolenko, Effective photon mass and (dark) photon conversion in the inhomogeneous Universe, JCAP 10 (2020) 011 [arXiv:2003.10465] [INSPIRE].
S.J. Witte, S. Rosauro-Alcaraz, S.D. McDermott and V. Poulin, Dark photon dark matter in the presence of inhomogeneous structure, JHEP 06 (2020) 132 [arXiv:2003.13698] [INSPIRE].
S.D. McDermott and S.J. Witte, Cosmological evolution of light dark photon dark matter, Phys. Rev. D 101 (2020) 063030 [arXiv:1911.05086] [INSPIRE].
P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo and A. Ringwald, WISPy Cold Dark Matter, JCAP 06 (2012) 013 [arXiv:1201.5902] [INSPIRE].
IceCube collaboration, Search for neutrinos from decaying dark matter with IceCube, Eur. Phys. J. C 78 (2018) 831 [arXiv:1804.03848] [INSPIRE].
Planck collaboration, Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
T.R. Slatyer, Indirect dark matter signatures in the cosmic dark ages. I. Generalizing the bound on s-wave dark matter annihilation from Planck results, Phys. Rev. D 93 (2016) 023527 [arXiv:1506.03811] [INSPIRE].
M. Endo, K. Hamaguchi and G. Mishima, Constraints on Hidden Photon Models from Electron g − 2 and Hydrogen Spectroscopy, Phys. Rev. D 86 (2012) 095029 [arXiv:1209.2558] [INSPIRE].
BaBar collaboration, Search for a Dark Photon in e+e− Collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
CHARM collaboration, Search for Axion Like Particle Production in 400 GeV Proton-Copper Interactions, Phys. Lett. B 157 (1985) 458 [INSPIRE].
Y.-D. Tsai, P. deNiverville and M.X. Liu, Dark Photon and Muon g − 2 Inspired Inelastic Dark Matter Models at the High-Energy Intensity Frontier, Phys. Rev. Lett. 126 (2021) 181801 [arXiv:1908.07525] [INSPIRE].
NA48/2 collaboration, Search for the dark photon in π0 decays, Phys. Lett. B 746 (2015) 178 [arXiv:1504.00607] [INSPIRE].
S. Andreas, C. Niebuhr and A. Ringwald, New Limits on Hidden Photons from Past Electron Beam Dumps, Phys. Rev. D 86 (2012) 095019 [arXiv:1209.6083] [INSPIRE].
J.D. Bjorken, R. Essig, P. Schuster and N. Toro, New Fixed-Target Experiments to Search for Dark Gauge Forces, Phys. Rev. D 80 (2009) 075018 [arXiv:0906.0580] [INSPIRE].
NA64 collaboration, Search for a Hypothetical 16.7 MeV Gauge Boson and Dark Photons in the NA64 Experiment at CERN, Phys. Rev. Lett. 120 (2018) 231802 [arXiv:1803.07748] [INSPIRE].
NA64 collaboration, Improved limits on a hypothetical X(16.7) boson and a dark photon decaying into e+e− pairs, Phys. Rev. D 101 (2020) 071101 [arXiv:1912.11389] [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. Blumlein et al., Limits on neutral light scalar and pseudoscalar particles in a proton beam dump experiment, Z. Phys. C 51 (1991) 341 [INSPIRE].
J. Blumlein et al., Limits on the mass of light (pseudo)scalar particles from Bethe-Heitler e+e− and μ+μ− pair production in a proton-iron beam dump experiment, Int. J. Mod. Phys. A 7 (1992) 3835 [INSPIRE].
P. Ilten, Y. Soreq, M. Williams and W. Xue, Serendipity in dark photon searches, JHEP 06 (2018) 004 [arXiv:1801.04847] [INSPIRE].
J.H. Chang, R. Essig and S.D. McDermott, Revisiting Supernova 1987A Constraints on Dark Photons, JHEP 01 (2017) 107 [arXiv:1611.03864] [INSPIRE].
H. An, M. Pospelov and J. Pradler, New stellar constraints on dark photons, Phys. Lett. B 725 (2013) 190 [arXiv:1302.3884] [INSPIRE].
R. Essig, E. Kuflik, S.D. McDermott, T. Volansky and K.M. Zurek, Constraining Light Dark Matter with Diffuse X-Ray and Gamma-Ray Observations, JHEP 11 (2013) 193 [arXiv:1309.4091] [INSPIRE].
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Aboubrahim, A., Feng, WZ., Nath, P. et al. A multi-temperature universe can allow a sub-MeV dark photon dark matter. J. High Energ. Phys. 2021, 86 (2021). https://doi.org/10.1007/JHEP06(2021)086
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DOI: https://doi.org/10.1007/JHEP06(2021)086