- Open Access
Heavy dark photon handbook: Cosmological and astrophysical bounds
Phys. Rev. D 113, 075001 – Published 1 April, 2026
DOI: https://doi.org/10.1103/m6zs-jxxp
Abstract
We investigate cosmological and astrophysical constraints on dark photons with masses . These dark photons can be copiously produced either in the early Universe or during core-collapse supernovae, potentially leaving distinct observational signatures. First, we derive updated constraints from cosmological and astrophysical observables that rely on the thermal relic abundance of dark photons, including the cosmic microwave background spectrum, primordial light element abundances, and Galactic/extragalactic -ray flux. We consider the minimal reheating temperature possible, , such that our constraints are conservative, but unavoidable within the minimal dark photon model. Then, for supernova-sourced dark photons, we systematically examine all relevant observational bounds, revisit the standard cooling argument and derive limits from other arguments such as fireball formation, low energy supernovae and Galactic positron injection.
Physics Subject Headings (PhySH)
Article Text
References (174)
- B. Holdom, Two U(1)’s and epsilon charge shifts, Phys. Lett. 166B, 196 (1986).
- L. B. Okun, Limits of electrodynamics: Paraphotons?, Zh. Eksp. Teor. Fiz. 83, 892 (1982). [Sov. Phys. JETP 56, 502 (1982)].
- P. Galison and A. Manohar, Two z’s or not two z’s?, Phys. Lett. 136B, 279 (1984).
- N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer, and N. Weiner, A theory of dark matter, Phys. Rev. D 79, 015014 (2009).
- M. Pospelov, A. Ritz, and M. B. Voloshin, Secluded WIMP dark matter, Phys. Lett. B 662, 53 (2008).
- A. Caputo and R. Essig, The dark photon: A 2026 perspective, arXiv:2603.08430.
- J. D. Bjorken, R. Essig, P. Schuster, and N. Toro, New fixed-target experiments to search for dark gauge forces, Phys. Rev. D 80, 075018 (2009).
- M. Reece and L.-T. Wang, Searching for the light dark gauge boson in geV-scale experiments, J. High Energy Phys. 07 (2009) 051.
- M. Freytsis, G. Ovanesyan, and J. Thaler, Dark force detection in low energy e-p collisions, J. High Energy Phys. 01 (2010) 111.
- S. Abrahamyan et al. (APEX Collaboration), Search for a new gauge boson in electron-nucleus fixed-target scattering by the APEX experiment, Phys. Rev. Lett. 107, 191804 (2011).
- H. Merkel et al., Search at the mainz microtron for light massive gauge bosons relevant for the muon g-2 anomaly, Phys. Rev. Lett. 112, 221802 (2014).
- H. Merkel et al. (A1 Collaboration), Search for light gauge bosons of the dark sector at the mainz microtron, Phys. Rev. Lett. 106, 251802 (2011).
- B. Batell, M. Pospelov, and A. Ritz, Exploring portals to a hidden sector through fixed targets, Phys. Rev. D 80, 095024 (2009).
- R. Essig, R. Harnik, J. Kaplan, and N. Toro, Discovering new light states at neutrino experiments, Phys. Rev. D 82, 113008 (2010).
- M. Pospelov, Secluded U(1) below the weak scale, Phys. Rev. D 80, 095002 (2009).
- F. Archilli et al. (KLOE-2 Collaboration), Search for a vector gauge boson in meson decays with the KLOE detector, Phys. Lett. B 706, 251 (2012).
- P. Adlarson et al. (WASA-at-COSY Collaboration), Search for a dark photon in the decay, Phys. Lett. B 726, 187 (2013).
- G. Agakishiev et al. (HADES Collaboration), Searching a dark photon with HADES, Phys. Lett. B 731, 265 (2014).
- J. R. Batley et al. (NA48/2 Collaboration), Search for the dark photon in decays, Phys. Lett. B 746, 178 (2015).
- A. Adare et al. (PHENIX Collaboration), Search for dark photons from neutral meson decays in and Au collisions at , Phys. Rev. C 91, 031901 (2015).
- M. Williams, C. P. Burgess, A. Maharana, and F. Quevedo, New constraints (and motivations) for Abelian gauge bosons in the MeV-TeV mass range, J. High Energy Phys. 08 (2011) 106.
- J. Blumlein and J. Brunner, New exclusion limits for dark gauge forces from beam-dump data, Phys. Lett. B 701, 155 (2011).
- S. N. Gninenko, Constraints on sub-GeV hidden sector gauge bosons from a search for heavy neutrino decays, Phys. Lett. B 713, 244 (2012).
- J. Blümlein and J. Brunner, New exclusion limits on dark gauge forces from proton bremsstrahlung in beam-dump data, Phys. Lett. B 731, 320 (2014).
- D. Banerjee et al. (NA64 Collaboration), Search for a hypothetical 16.7 MeV gauge boson and dark photons in the NA64 experiment at CERN, Phys. Rev. Lett. 120, 231802 (2018).
- P. Fayet, U-boson production in annihilations, psi and upsilon decays, and light dark matter, Phys. Rev. D 75, 115017 (2007).
- B. Batell, M. Pospelov, and A. Ritz, Probing a secluded U(1) at b-factories, Phys. Rev. D 79, 115008 (2009).
- R. Essig, P. Schuster, and N. Toro, Probing dark forces and light hidden sectors at low-energy colliders, Phys. Rev. D 80, 015003 (2009).
- D. Curtin, R. Essig, S. Gori, and J. Shelton, Illuminating dark photons with high-energy colliders, J. High Energy Phys. 02 (2015) 157.
- J. P. Lees et al. (BABAR Collaboration), Search for a dark photon in collisions at BABAR, Phys. Rev. Lett. 113, 201801 (2014).
- R. Aaij et al. (LHCb Collaboration), Search for dark photons produced in 13 TeV collisions, Phys. Rev. Lett. 120, 061801 (2018).
- M. Ablikim et al. (BESIII Collaboration), Dark photon search in the mass range between 1.5 and , Phys. Lett. B 774, 252 (2017).
- A. Anastasi et al., Limit on the production of a low-mass vector boson in , with the KLOE experiment, Phys. Lett. B 750, 633 (2015).
- A. Caputo, A. J. Millar, C. A. J. O’Hare, and E. Vitagliano, Dark photon limits: A handbook, Phys. Rev. D 104, 095029 (2021).
- P. Trener, darkcast: Recasting collider bounds on dark photons, https://gitlab.com/philten/darkcast (accessed: 2025-05-10).
- P. Ilten, Y. Soreq, M. Williams, and W. Xue, Serendipity in dark photon searches, J. High Energy Phys. 06 (2018) 004.
- C. Baruch, P. Ilten, Y. Soreq, and M. Williams, Axial vectors in darkcast, J. High Energy Phys. 11 (2022) 124.
- Y. Kyselov and M. Ovchynnikov, Searches for long-lived dark photons at proton accelerator experiments, Phys. Rev. D 111, 015030 (2025).
- M. Baumgart, C. Cheung, J. T. Ruderman, L.-T. Wang, and I. Yavin, Non-Abelian dark sectors and their collider signatures, J. High Energy Phys. 04 (2009) 014.
- H.-S. Lee and S. Yun, Mini force: The gauge interaction with a light mediator, Phys. Rev. D 93, 115028 (2016).
- M. Bauer and P. Foldenauer, Consistent theory of kinetic mixing and the Higgs low-energy theorem, Phys. Rev. Lett. 129, 171801 (2022).
- P. Fayet, Extra U(1)’s and new forces, Nucl. Phys. B347, 743 (1990).
- E. C. G. Stueckelberg, Interaction energy in electrodynamics and in the field theory of nuclear forces, Helv. Phys. Acta 11, 225 (1938).
- K. S. Babu, C. F. Kolda, and J. March-Russell, Implications of generalized Z—Z-prime mixing, Phys. Rev. D 57, 6788 (1998).
- J. Redondo and M. Postma, Massive hidden photons as lukewarm dark matter, J. Cosmol. Astropart. Phys. 02 (2009) 005.
- H. An, M. Pospelov, and J. Pradler, New stellar constraints on dark photons, Phys. Lett. B 725, 190 (2013).
- L. Stodolsky, On the treatment of neutrino oscillations in a thermal environment, Phys. Rev. D 36, 2273 (1987).
- H. A. Weldon, Simple rules for discontinuities in finite temperature field theory, Phys. Rev. D 28, 2007 (1983).
- J. Redondo and G. Raffelt, Solar constraints on hidden photons re-visited, J. Cosmol. Astropart. Phys. 08 (2013) 034.
- P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B360, 145 (1991).
- K. Saikawa and S. Shirai, Primordial gravitational waves, precisely: The role of thermodynamics in the standard model, J. Cosmol. Astropart. Phys. 05 (2018) 035.
- N. Barbieri, T. Brinckmann, S. Gariazzo, M. Lattanzi, S. Pastor, and O. Pisanti, Current constraints on cosmological scenarios with very low reheating temperatures, Phys. Rev. Lett. 135, 181003 (2025).
- T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram, and S. Hannestad, MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles, J. Cosmol. Astropart. Phys. 12 (2019) 012.
- J. Froustey, C. Pitrou, and M. C. Volpe, Neutrino decoupling including flavour oscillations and primordial nucleosynthesis, J. Cosmol. Astropart. Phys. 12 (2020) 015.
- J. J. Bennett, G. Buldgen, P. F. De Salas, M. Drewes, S. Gariazzo, S. Pastor, and Y. Y. Y. Wong, Towards a precision calculation of in the standard model II: Neutrino decoupling in the presence of flavour oscillations and finite-temperature QED, J. Cosmol. Astropart. Phys. 04 (2021) 073.
- M. Ibe, S. Kobayashi, Y. Nakayama, and S. Shirai, Cosmological constraint on dark photon from , J. High Energy Phys. 04 (2020) 009.
- J.-T. Li, G. M. Fuller, and E. Grohs, Probing dark photons in the early universe with big bang nucleosynthesis, J. Cosmol. Astropart. Phys. 12 (2020) 049.
- S. Ganguly, T. H. Jung, and S. Yun, Consistent fitting in big bang nucleosynthesis analysis, arXiv:2507.23354.
- M. Escudero, C. Garcia-Perez, and M. Ovchynnikov, Nucleosynthesis and CMB bounds on photophilic ALPs: A fresh look, arXiv:2511.00157.
- T. R. Slatyer and C.-L. Wu, General constraints on dark matter decay from the cosmic microwave background, Phys. Rev. D 95, 023010 (2017).
- K. Langhoff, N. J. Outmezguine, and N. L. Rodd, Irreducible axion background, Phys. Rev. Lett. 129, 241101 (2022).
- J. Cang, Y. Gao, and Y.-Z. Ma, Probing dark matter with future CMB measurements, Phys. Rev. D 102, 103005 (2020).
- B. Bolliet, J. Chluba, and R. Battye, Spectral distortion constraints on photon injection from low-mass decaying particles, Mon. Not. R. Astron. Soc. 507, 3148 (2021).
- C. Balázs et al., Cosmological constraints on decaying axion-like particles: a global analysis, J. Cosmol. Astropart. Phys. 12 (2022) 027.
- V. Poulin, J. Lesgourgues, and P. D. Serpico, Cosmological constraints on exotic injection of electromagnetic energy, J. Cosmol. Astropart. Phys. 03 (2017) 043.
- M. Lucca, N. Schöneberg, D. C. Hooper, J. Lesgourgues, and J. Chluba, The synergy between CMB spectral distortions and anisotropies, J. Cosmol. Astropart. Phys. 02 (2020) 026.
- N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- D. J. Fixsen, E. S. Cheng, J. M. Gales, J. C. Mather, R. A. Shafer, and E. L. Wright, The cosmic microwave background spectrum from the full COBE FIRAS data set, Astrophys. J. 473, 576 (1996).
- M. Kawasaki and T. Moroi, Electromagnetic cascade in the early universe and its application to the big bang nucleosynthesis, Astrophys. J. 452, 506 (1995).
- V. A. Dogiel, V. S. Berezinsky, S. V. Bulanov, and V. S. Ptuskin, in Astrophysics of Cosmic Rays, edited by V. L. Ginzburg (North Holland, Amsterdam, 1990).
- R. J. Protheroe, T. Stanev, and V. S. Berezinsky, Electromagnetic cascades and cascade nucleosynthesis in the early universe, Phys. Rev. D 51, 4134 (1995).
- O. Pisanti, A. Cirillo, S. Esposito, F. Iocco, G. Mangano, G. Miele, and P. D. Serpico, parthenopeedstar: Public algorithm evaluating the nucleosynthesis of primordial elements, Comput. Phys. Commun. 178, 956 (2008).
- R. Consiglio, P. F. de Salas, G. Mangano, G. Miele, S. Pastor, and O. Pisanti, parthenopeedstar reloaded, Comput. Phys. Commun. 233, 237 (2018).
- S. Gariazzo, P. F. de Salas, O. Pisanti, and R. Consiglio, parthenopeedstar revolutions, Comput. Phys. Commun. 271, 108205 (2022).
- M. Pospelov and J. Pradler, Metastable GeV-scale particles as a solution to the cosmological lithium problem, Phys. Rev. D 82, 103514 (2010).
- A. Fradette, M. Pospelov, J. Pradler, and A. Ritz, Cosmological constraints on very dark photons, Phys. Rev. D 90, 035022 (2014).
- R. H. Cyburt, J. R. Ellis, B. D. Fields, and K. A. Olive, Updated nucleosynthesis constraints on unstable relic particles, Phys. Rev. D 67, 103521 (2003).
- S. Navas et al. (Particle Data Group Collaboration), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- A. Matsumoto et al., EMPRESS. VIII. A New determination of primordial He abundance with extremely metal-poor galaxies: A suggestion of the lepton asymmetry and implications for the Hubble tension, Astrophys. J. 941, 167 (2022).
- M. Pospelov, A. Ritz, and M. B. Voloshin, Bosonic super-WIMPs as keV-scale dark matter, Phys. Rev. D 78, 115012 (2008).
- S. D. McDermott, H. H. Patel, and H. Ramani, Dark photon decay beyond the Euler-Heisenberg limit, Phys. Rev. D 97, 073005 (2018).
- A. Boyarsky, A. Neronov, O. Ruchayskiy, M. Shaposhnikov, and I. Tkachev, Where to find a dark matter sterile neutrino?, Phys. Rev. Lett. 97, 261302 (2006).
- A. Boyarsky, J. Nevalainen, and O. Ruchayskiy, Constraints on the parameters of radiatively decaying dark matter from the dark matter halo of the Milky Way and Ursa Minor, Astron. Astrophys. 471, 51 (2007).
- A. Boyarsky, D. Iakubovskyi, O. Ruchayskiy, and V. Savchenko, Constraints on decaying dark matter from XMM-Newton observations of M31, Mon. Not. R. Astron. Soc. 387, 1361 (2008).
- J. W. Foster, M. Kongsore, C. Dessert, Y. Park, N. L. Rodd, K. Cranmer, and B. R. Safdi, Deep search for decaying dark matter with XMM-Newton Blank-Sky observations, Phys. Rev. Lett. 127, 051101 (2021).
- K. C. Y. Ng, B. M. Roach, K. Perez, J. F. Beacom, S. Horiuchi, R. Krivonos, and D. R. Wik, New constraints on sterile neutrino dark matter from M31 observations, Phys. Rev. D 99, 083005 (2019).
- B. M. Roach, K. C. Y. Ng, K. Perez, J. F. Beacom, S. Horiuchi, R. Krivonos, and D. R. Wik, NuSTAR tests of sterile-neutrino dark matter: New galactic bulge observations and combined impact, Phys. Rev. D 101, 103011 (2020).
- B. M. Roach, S. Rossland, K. C. Y. Ng, K. Perez, J. F. Beacom, B. W. Grefenstette, S. Horiuchi, R. Krivonos, and D. R. Wik, Long-exposure nustar constraints on decaying dark matter in the galactic halo, Phys. Rev. D 107, 023009 (2023).
- F. Calore, A. Dekker, P. D. Serpico, and T. Siegert, Constraints on light decaying dark matter candidates from 16 yr of INTEGRAL/SPI observations, Mon. Not. R. Astron. Soc. 520, 4167 (2023).
- T. Linden, T. T. Q. Nguyen, and T. M. P. Tait, X-ray constraints on dark photon tridents, Phys. Rev. D 112, 023026 (2025).
- M. Cirelli, G. Corcella, A. Hektor, G. Hutsi, M. Kadastik, P. Panci, M. Raidal, F. Sala, and A. Strumia, PPPC 4 DM ID: A poor particle physicist cookbook for dark matter indirect detection, J. Cosmol. Astropart. Phys. 03 (2011) 051; 10 (2012) E01.
- R. Hill, K. W. Masui, and D. Scott, The spectrum of the universe, Appl. Spectrosc. 72, 663 (2018).
- H. A. Bethe and J. R. Wilson, Revival of a stalled supernova shock by neutrino heating, Astrophys. J. 295, 14 (1985).
- H.-T. Janka, Explosion mechanisms of core-collapse supernovae, Annu. Rev. Nucl. Part. Sci. 62, 407 (2012),
- L. Boccioli and L. Roberti, The physics of core-collapse supernovae: Explosion mechanism and explosive nucleosynthesis, Universe 10, 148 (2024).
- A. Burrows and D. Vartanyan, Core-collapse supernova explosion theory, Nature (London) 589, 29 (2021).
- S. Stetina, E. Rrapaj, and S. Reddy, Photons in dense nuclear matter: Random-phase approximation, Phys. Rev. C 97, 045801 (2018).
- E. Rrapaj and S. Reddy, Nucleon-nucleon bremsstrahlung of dark gauge bosons and revised supernova constraints, Phys. Rev. C 94, 045805 (2016).
- C. S. Shin and S. Yun, Dark gauge boson production from neutron stars via nucleon-nucleon bremsstrahlung, J. High Energy Phys. 02 (2022) 133.
- F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions, Phys. Rev. 110, 974 (1958).
- E. M. Nyman, Bremsstrahlung in nucleon-nucleon collisions, Phys. Rep. 9, 179 (1974).
- J. H. Chang, R. Essig, and S. D. McDermott, Revisiting supernova 1987A constraints on dark photons, J. High Energy Phys. 01 (2017) 107.
- L. D. Landau and I. Pomeranchuk, Limits of applicability of the theory of bremsstrahlung electrons and pair production at high-energies, Dokl. Akad. Nauk Ser. Fiz. 92, 535 (1953).
- A. B. Migdal, Bremsstrahlung and pair production in condensed media at high-energies, Phys. Rev. 103, 1811 (1956).
- G. Raffelt and D. Seckel, Multiple scattering suppression of the bremsstrahlung emission of neutrinos and axions in supernovae, Phys. Rev. Lett. 67, 2605 (1991).
- R. Bollig, H. T. Janka, A. Lohs, G. Martinez-Pinedo, C. J. Horowitz, and T. Melson, Muon creation in supernova matter facilitates neutrino-driven explosions, Phys. Rev. Lett. 119, 242702 (2017).
- B. Fore and S. Reddy, Pions in hot dense matter and their astrophysical implications, Phys. Rev. C 101, 035809 (2020).
- T. Fischer, J. Martin Camalich, H. Kochankovski, and L. Tolos, Hyperons during proto-neutron star deleptonization and the emission of dark flavoured particles, J. Cosmol. Astropart. Phys. 01 (2025) 061.
- C. S. Shin and S. Yun, Dark gauge boson emission from supernova pions, Phys. Rev. D 108, 055014 (2023).
- A. Caputo, G. Raffelt, and E. Vitagliano, Muonic boson limits: Supernova redux, Phys. Rev. D 105, 035022 (2022).
- A. Caputo, H.-T. Janka, G. Raffelt, and S. Yun, Cooling the shock: New supernova constraints on dark photons, Phys. Rev. Lett. 134, 151002 (2025).
- R. Bollig, N. Yadav, D. Kresse, H. T. Janka, B. Müller, and A. Heger, Self-consistent 3D supernova models from to : A 1-Bethe explosion of a progenitor, Astrophys. J. 915, 28 (2021).
- D. F. G. Fiorillo, G. G. Raffelt, and E. Vitagliano, Strong supernova 1987A constraints on bosons decaying to neutrinos, Phys. Rev. Lett. 131, 021001 (2023).
- A. Caputo and G. Raffelt, Astrophysical axion bounds: The 2024 edition, Proc. Sci. COSMICWISPers (2024) 041 [arXiv:2401.13728].
- R. M. Bionta et al., Observation of a neutrino burst in coincidence with supernova SN 1987A in the large magellanic cloud, Phys. Rev. Lett. 58, 1494 (1987).
- K. Hirata et al. (Kamiokande-II Collaboration), Observation of a neutrino burst from the supernova SN 1987A, Phys. Rev. Lett. 58, 1490 (1987).
- E. N. Alekseev, L. N. Alekseeva, V. I. Volchenko, and I. V. Krivosheina, Possible detection of a neutrino signal on 23 february 1987 at the Baksan Underground Scintillation Telescope of the institute of nuclear research, JETP Lett. 45, 589 (1987).
- G. G. Raffelt, Stars as Laboratories for Fundamental Physics: The Astrophysics of Neutrinos, Axions, and Other Weakly Interacting Particles (University of Chicago Press, Chicago, USA, 1996).
- R. Bollig, W. DeRocco, P. W. Graham, and H.-T. Janka, Muons in supernovae: Implications for the axion-muon coupling, Phys. Rev. Lett. 125, 051104 (2020); 126, 189901(E) (2021).
- Garching core-collapse supernova research archive, https://wwwmpa.mpa-garching.mpg.de/ccsnarchive/.
- A. W. Steiner, M. Hempel, and T. Fischer, Core-collapse supernova equations of state based on neutron star observations, Astrophys. J. 774, 17 (2013).
- A. Sung, H. Tu, and M.-R. Wu, New constraint from supernova explosions on light particles beyond the standard model, Phys. Rev. D 99, 121305 (2019).
- A. Caputo, H.-T. Janka, G. Raffelt, and E. Vitagliano, Low-energy supernovae severely constrain radiative particle decays, Phys. Rev. Lett. 128, 221103 (2022).
- S. W. Falk and D. N. Schramm, Limits from supernovae on neutrino radiative lifetimes, Phys. Lett. 79B, 511 (1978).
- A. Pastorello et al., Low luminosity type II supernovae: Spectroscopic and photometric evolution, Mon. Not. R. Astron. Soc. 347, 74 (2004).
- S. Spiro et al., Low luminosity type II supernovae—II. Pointing towards moderate mass precursors, Mon. Not. R. Astron. Soc. 439, 2873 (2014).
- D. F. G. Fiorillo, T. Pitik, and E. Vitagliano, Energy transfer by feebly interacting particles in supernovae: The trapping regime, Phys. Rev. Lett. 135, 071005 (2025).
- J. M. Ryan, L. L. Chupp, D. J. Forrest, M. L. Cherry, I. U. Gleske, L. Rieger, G. Kanbach, K. Pinkau, C. Reppin, G. Share, R. L. Kinzer, W. N. Johnson, and J. D. Kurfess, The gamma ray spectrometer for the solar maximum mission, in International Cosmic Ray Conference (The Institute for Cosmic Ray Research, Tokyo, 1979), Vol. 5 p. 135.
- L. Oberauer, C. Hagner, G. Raffelt, and E. Rieger, Supernova bounds on neutrino radiative decays, Astropart. Phys. 1, 377 (1993).
- W. DeRocco, P. W. Graham, D. Kasen, G. Marques-Tavares, and S. Rajendran, Observable signatures of dark photons from supernovae, J. High Energy Phys. 02 (2019) 171.
- F. R. Candón, D. F. G. Fiorillo, H.-T. Janka, B. F. A. van Baal, and E. Vitagliano, Small progenitors, large couplings: Type ic supernova constraints on radiatively decaying particles, arXiv:2509.18253.
- A. Kozyreva, A. Caputo, P. Baklanov, A. Mironov, and H.-T. Janka, SN 2023ixf: An average-energy explosion with circumstellar medium and a precursor, Astron. Astrophys. 694, A319 (2025).
- N. Prantzos et al., The 511 keV emission from positron annihilation in the galaxy, Rev. Mod. Phys. 83, 1001 (2011).
- T. Siegert, R. Diehl, G. Khachatryan, M. G. H. Krause, F. Guglielmetti, J. Greiner, A. W. Strong, and X. Zhang, Gamma-ray spectroscopy of positron annihilation in the Milky Way, Astron. Astrophys. 586, A84 (2016).
- T. Siegert, R. M. Crocker, R. Diehl, M. G. H. Krause, F. H. Panther, M. M. M. Pleintinger, and C. Weinberger, Constraints on positron annihilation kinematics in the inner galaxy, Astron. Astrophys. 627, A126 (2019).
- A. W. Strong, R. Diehl, H. Halloin, V. Schoenfelder, L. Bouchet, P. Mandrou, F. Lebrun, and R. Terrier, Gamma-ray continuum emission from the inner galactic region as observed with INTEGRAL/SPI, Astron. Astrophys. 444, 495 (2005).
- L. Bouchet, J.-P. Roques, and E. Jourdain, On the morphology of the electron-positron annihilation emission as seen by SPI/INTEGRAL, Astrophys. J. 720, 1772 (2010).
- J. F. Beacom and H. Yuksel, Stringent constraint on galactic positron production, Phys. Rev. Lett. 97, 071102 (2006).
- F. Calore, P. Carenza, M. Giannotti, J. Jaeckel, G. Lucente, L. Mastrototaro, and A. Mirizzi, 511 keV line constraints on feebly interacting particles from supernovae, Phys. Rev. D 105, 063026 (2022).
- W. Li, R. Chornock, J. Leaman, A. V. Filippenko, D. Poznanski, X. Wang, M. Ganeshalingam, and F. Mannucci, Nearby supernova rates from the Lick observatory supernova search. III. The rate-size relation, and the rates as a function of galaxy Hubble type and colour, Mon. Not. R. Astron. Soc. 412, 1473 (2011).
- P. De la Torre Luque, S. Balaji, P. Carenza, and L. Mastrototaro, rays from in-flight positron annihilation as a probe of new physics, Phys. Rev. D 111, L061303 (2025).
- S. Balaji, P. Carenza, P. De la Torre Luque, A. Lella, and L. Mastrototaro, In-flight positron annihilation as a probe of feebly interacting particles, Phys. Rev. D 111, 083053 (2025).
- T. Piran, Gamma-ray bursts and the fireball model, Phys. Rep. 314, 575 (1999).
- D. Kazanas, R. N. Mohapatra, S. Nussinov, V. L. Teplitz, and Y. Zhang, Supernova bounds on the dark photon using its electromagnetic decay, Nucl. Phys. B890, 17 (2014).
- M. Diamond, D. F. G. Fiorillo, G. Marques-Tavares, and E. Vitagliano, Axion-sourced fireballs from supernovae, Phys. Rev. D 107, 103029 (2023); M. Diamond, D. F. G. Fiorillo, G. Marques-Tavares, and E. Vitagliano 108, 049902(E) (2023).
- M. Diamond, D. F. G. Fiorillo, G. Marques-Tavares, I. Tamborra, and E. Vitagliano, Multimessenger constraints on radiatively decaying axions from GW170817, Phys. Rev. Lett. 132, 101004 (2024).
- M. D. Diamond and G. Marques-Tavares, -ray flashes from dark photons in neutron star mergers, Phys. Rev. Lett. 128, 211101 (2022).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
- A. Murguia-Berthier, E. Ramirez-Ruiz, F. De Colle, A. Janiuk, S. Rosswog, and W. H. Lee, The fate of the merger remnant in GW170817 and its imprint on the jet structure, Astrophys. J. 908, 152 (2021).
- P. Madau and M. Dickinson, Cosmic star formation history, Annu. Rev. Astron. Astrophys. 52, 415 (2014).
- J. F. Beacom, The diffuse supernova neutrino background, Annu. Rev. Nucl. Part. Sci. 60, 439 (2010).
- H. T. Janka, Conditions for shock revival by neutrino heating in core collapse supernovae, Astron. Astrophys. 368, 527 (2001).
- K. Mori, T. Takiwaki, and K. Kohri, Verifying the failing supernova constraint on dark photons with two-dimensional hydrodynamic simulations, Phys. Rev. D 113, L041303 (2026).
- R. Essig, P. Schuster, and N. Toro, Probing dark forces and light hidden sectors at low-energy colliders, Phys. Rev. D 80, 015003 (2010).
- O. Moreno et al. (HPS Collaboration), Search for a dark photon in electroproduced pairs with the Heavy Photon Search experiment at JLab, Phys. Rev. D 98, 091101 (2018).
- J. D. Bjorken, S. Ecklund, W. R. Nelson, A. Abashian, C. Church, B. Lu, L. W. Mo, T. A. Nunamaker, and P. Rassmann, Search for neutral metastable penetrating particles produced in the SLAC beam dump, Phys. Rev. D 38, 3375 (1988).
- E. M. Riordan et al., A search for short lived axions in an electron beam dump experiment, Phys. Rev. Lett. 59, 755 (1987).
- A. Hayrapetyan et al. (CMS Collaboration), Search for direct production of GeV-scale resonances decaying to a pair of muons in proton-proton collisions at , J. High Energy Phys. 12 (2023) 070.
- A. Tumasyan et al. (CMS Collaboration), Search for long-lived particles decaying into muon pairs in proton-proton collisions at collected with a dedicated high-rate data stream, J. High Energy Phys. 04 (2022) 062.
- G. Aad et al. (ATLAS Collaboration), Search for light long-lived neutral particles from Higgs boson decays via vector-boson-fusion production from pp collisions at with the ATLAS detector, Eur. Phys. J. C 84, 719 (2024).
- P. Ilten, J. Thaler, M. Williams, and W. Xue, Dark photons from charm mesons at LHCb, Phys. Rev. D 92, 115017 (2015).
- P. Ilten, Y. Soreq, J. Thaler, M. Williams, and W. Xue, Proposed inclusive dark photon search at LHCb, Phys. Rev. Lett. 116, 251803 (2016).
- I. B. Jaegle, Search for the dark photon and the dark Higgs boson at Belle, Phys. Rev. Lett. 114, 211801 (2015).
- A. Anastasi et al. (KLOE-2 Collaboration), Search for dark Higgsstrahlung in and missing energy events with the KLOE experiment, Phys. Lett. B 747, 365 (2015).
- F. Abudinen et al. (Belle-II Collaboration), Search for a dark photon and an invisible dark Higgs boson in and missing energy final states with the Belle II experiment, Phys. Rev. Lett. 130, 071804 (2023).
- S. Alekhin et al., A facility to search for hidden particles at the CERN SPS: The SHiP physics case, Rep. Prog. Phys. 79, 124201 (2016).
- J. H. Chang, R. Essig, and S. D. McDermott, Supernova 1987A constraints on sub-GeV dark sectors, millicharged particles, the QCD axion, and an axion-like particle, J. High Energy Phys. 09 (2018) 051.
- T. Altherr, E. Petitgirard, and T. de Rio Gaztelurrutia, Photon propagation in dense media, Astropart. Phys. 1, 289 (1993).
- E. Braaten and D. Segel, Neutrino energy loss from the plasma process at all temperatures and densities, Phys. Rev. D 48, 1478 (1993).
- L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, Freeze-In production of FIMP dark matter, J. High Energy Phys. 03 (2010) 080.
- J. P. Lees et al. (BABAR Collaboration), Precise measurement of the cross section with the initial-state radiation method at BABAR, Phys. Rev. D 86, 032013 (2012).
- J. P. Lees et al. (BABAR Collaboration), Precision measurement of the cross section with the initial-state radiation method at BABAR, Phys. Rev. D 88, 032013 (2013).
- A. Fradette and M. Pospelov, BBN for the LHC: Constraints on lifetimes of the Higgs portal scalars, Phys. Rev. D 96, 075033 (2017).
- V. F. Mukhanov, Nucleosynthesis without a computer, Int. J. Theor. Phys. 43, 669 (2004).