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Seasons of dark matter freeze-in shaped by the weather of the early Universe

Francesco D’Eramo1,2, Alessandro Lenoci3, and Tommaso Sassi1,2

Phys. Rev. D 113, 083502 – Published 1 April, 2026

DOI: https://doi.org/10.1103/v5gn-5n8j

Abstract

Quantifying the imprints of freeze-in dark matter (DM) on cosmological structures requires knowledge of its phase-space distribution. We investigate how variations in the cosmological history before nucleosynthesis, the “weather” of that epoch, give rise to distinct “seasons” in the DM momentum distribution that governs its warmness. Studying decay-driven production across diverse cosmological histories, we map how these conditions shape DM phase-space properties. Our study quantifies how the early Universe composition plays a key role in determining the mass bound on freeze-in DM.

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References (83)

  1. G. Jungman, M. Kamionkowski, and K. Griest, Phys. Rep. 267, 195 (1996).
  2. G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005).
  3. J. L. Feng, Annu. Rev. Astron. Astrophys. 48, 495 (2010).
  4. A. Arbey and F. Mahmoudi, Prog. Part. Nucl. Phys. 119, 103865 (2021).
  5. M. Cirelli, A. Strumia, and J. Zupan, arXiv:2406.01705.
  6. N. Bozorgnia, J. Bramante, J. M. Cline, D. Curtin, D. McKeen, D. E. Morrissey, A. Ritz, S. Viel, A. C. Vincent, and Y. Zhang, Can. J. Phys. 103, 671 (2025).
  7. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  8. B. W. Lee and S. Weinberg, Phys. Rev. Lett. 39, 165 (1977).
  9. H. Goldberg, Phys. Rev. Lett. 50, 1419 (1983); 103, 099905(E) (2009).
  10. R. J. Scherrer and M. S. Turner, Phys. Rev. D 33, 1585 (1986); 34, 3263(E) (1986).
  11. M. Srednicki, R. Watkins, and K. A. Olive, Nucl. Phys. B310, 693 (1988).
  12. P. Gondolo and G. Gelmini, Nucl. Phys. B360, 145 (1991).
  13. G. Arcadi, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini, M. Pierre, S. Profumo, and F. S. Queiroz, Eur. Phys. J. C 78, 203 (2018).
  14. L. Roszkowski, E. M. Sessolo, and S. Trojanowski, Rep. Prog. Phys. 81, 066201 (2018).
  15. G. Arcadi, D. Cabo-Almeida, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini, J. P. Neto, M. Pierre, S. Profumo, and F. S. Queiroz, Eur. Phys. J. C 85, 152 (2025).
  16. L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, J. High Energy Phys. 03 (2010) 080.
  17. J. McDonald, Phys. Rev. Lett. 88, 091304 (2002).
  18. A. Kusenko, Phys. Rev. Lett. 97, 241301 (2006).
  19. A. Ibarra, A. Ringwald, and C. Weniger, J. Cosmol. Astropart. Phys. 01 (2009) 003.
  20. F. Elahi, C. Kolda, and J. Unwin, J. High Energy Phys. 03 (2015) 048.
  21. S.-L. Chen and Z. Kang, J. Cosmol. Astropart. Phys. 05 (2018) 036.
  22. N. Bernal, F. Elahi, C. Maldonado, and J. Unwin, J. Cosmol. Astropart. Phys. 11 (2019) 026.
  23. R. T. Co, F. D’Eramo, L. J. Hall, and D. Pappadopulo, J. Cosmol. Astropart. Phys. 12 (2015) 024.
  24. J. A. Evans and J. Shelton, J. High Energy Phys. 04 (2016) 056.
  25. F. D’Eramo, N. Fernandez, and S. Profumo, J. Cosmol. Astropart. Phys. 02 (2018) 046.
  26. L. Calibbi, L. Lopez-Honorez, S. Lowette, and A. Mariotti, J. High Energy Phys. 09 (2018) 037.
  27. D. Curtin et al., Rep. Prog. Phys. 82, 116201 (2019).
  28. G. Bélanger et al., J. High Energy Phys. 02 (2019) 186.
  29. S. Junius, L. Lopez-Honorez, and A. Mariotti, J. High Energy Phys. 07 (2019) 136.
  30. J. M. No, P. Tunney, and B. Zaldivar, J. High Energy Phys. 03 (2020) 022.
  31. K. J. Bae, M. Park, and M. Zhang, Phys. Rev. D 101, 115036 (2020).
  32. L. Calibbi, F. D’Eramo, S. Junius, L. Lopez-Honorez, and A. Mariotti, J. High Energy Phys. 05 (2021) 234.
  33. P. Arias, B. Díaz Sáez, L. Duarte, J. Jones-Perez, W. Rodriguez, and D. Z. Herrera, J. High Energy Phys. 01 (2026) 135.
  34. X. Chu, T. Hambye, and M. H. G. Tytgat, J. Cosmol. Astropart. Phys. 05 (2012) 034.
  35. R. Essig, M. Fernandez-Serra, J. Mardon, A. Soto, T. Volansky, and T.-T. Yu, J. High Energy Phys. 05 (2016) 046.
  36. C. Dvorkin, T. Lin, and K. Schutz, Phys. Rev. D 99, 115009 (2019); 105, 119901(E) (2022).
  37. K. K. Boddy, K. Freese, G. Montefalcone, and B. Shams Es Haghi, Phys. Rev. D 111, 063537 (2025).
  38. N. Bernal, C. S. Fong, and Ó. Zapata, J. High Energy Phys. 02 (2025) 161.
  39. These probes are complementary, each affected by different systematics and relying on distinct techniques.

  40. A. Kamada, N. Yoshida, K. Kohri, and T. Takahashi, J. Cosmol. Astropart. Phys. 03 (2013) 008.
  41. J. McDonald, J. Cosmol. Astropart. Phys. 08 (2016) 035.
  42. S. B. Roland and B. Shakya, J. Cosmol. Astropart. Phys. 05 (2017) 027.
  43. J. Heeck and D. Teresi, Phys. Rev. D 96, 035018 (2017).
  44. K. J. Bae, A. Kamada, S. P. Liew, and K. Yanagi, J. Cosmol. Astropart. Phys. 01 (2018) 054.
  45. S. Boulebnane, J. Heeck, A. Nguyen, and D. Teresi, J. Cosmol. Astropart. Phys. 04 (2018) 006.
  46. A. Kamada and K. Yanagi, J. Cosmol. Astropart. Phys. 11 (2019) 029.
  47. C. Dvorkin, T. Lin, and K. Schutz, Phys. Rev. Lett. 127, 111301 (2021).
  48. G. Ballesteros, M. A. G. Garcia, and M. Pierre, J. Cosmol. Astropart. Phys. 03 (2021) 101.
  49. F. D’Eramo and A. Lenoci, J. Cosmol. Astropart. Phys. 10 (2021) 045.
  50. S. Baumholzer, V. Brdar, and E. Morgante, J. Cosmol. Astropart. Phys. 05 (2021) 004.
  51. D. Egana-Ugrinovic, R. Essig, D. Gift, and M. LoVerde, J. Cosmol. Astropart. Phys. 05 (2021) 013.
  52. Y. Du, F. Huang, H.-L. Li, Y.-Z. Li, and J.-H. Yu, J. Cosmol. Astropart. Phys. 04 (2022) 012.
  53. Q. Decant, J. Heisig, D. C. Hooper, and L. Lopez-Honorez, J. Cosmol. Astropart. Phys. 03 (2022) 041.
  54. K. R. Dienes, F. Huang, J. Kost, B. Thomas, and H.-B. Yu, Phys. Rev. D 106, 123521 (2022).
  55. Z. Xu, Q. Zhou, and S. Zheng, Phys. Rev. D 110, 115003 (2024).
  56. M. Becker, J. Harz, E. Morgante, C. Puchades-Ibáñez, and P. Schwaller, J. High Energy Phys. 06 (2025) 160.
  57. There could be exceptions; see, e.g., Ref. [58].

  58. A. Berlin and N. Blinov, Phys. Rev. Lett. 120, 021801 (2018).
  59. P. N. Bhattiprolu, G. Elor, R. McGehee, and A. Pierce, J. High Energy Phys. 01 (2023) 128.
  60. C. Cosme, F. Costa, and O. Lebedev, Phys. Rev. D 109, 075038 (2024).
  61. M. Becker, E. Copello, J. Harz, J. Lang, and Y. Xu, J. Cosmol. Astropart. Phys. 01 (2024) 053.
  62. J. Silva-Malpartida, N. Bernal, J. Jones-Pérez, and R. A. Lineros, J. Cosmol. Astropart. Phys. 09 (2023) 015.
  63. N. Koivunen, O. Lebedev, and M. Raidal, Eur. Phys. J. C 84, 1234 (2024).
  64. G. Arcadi, F. Costa, A. Goudelis, and O. Lebedev, J. High Energy Phys. 07 (2024) 044.
  65. O. Lebedev, A. P. Morais, V. Oliveira, and R. Pasechnik, J. High Energy Phys. 04 (2025) 136.
  66. B. Barman, S. Bhattacharya, S. Jahedi, D. Pradhan, and A. Sarkar, Phys. Lett. B 869, 139863 (2025).
  67. J. Silva-Malpartida, N. Bernal, J. Jones-Pérez, and R. A. Lineros, J. Cosmol. Astropart. Phys. 03 (2025) 003.
  68. B. Barman, S. Bhattacharya, S. Jahedi, D. Pradhan, and A. Sarkar, J. High Energy Phys. 07 (2025) 157.
  69. D. Borah, N. Das, S. Jahedi, and D. Pradhan, J. High Energy Phys. 11 (2025) 049.
  70. P. Arias, D. Karamitros, and L. Roszkowski, J. Cosmol. Astropart. Phys. 05 (2021) 041.
  71. We employ the reduced Planck mass defined as MPl≡(8πG)−1/2≃2.4×1018  GeV.

  72. M. Laine and M. Meyer, J. Cosmol. Astropart. Phys. 07 (2015) 035.
  73. Non-relativistic matter, wΦ=0, is a case of this kind.

  74. Kination, wΦ=1, is a case of this kind.

  75. F. D’Eramo, A. Lenoci, and A. Dekker, Phys. Rev. D 112, 116008 (2025).
  76. See Appendix A of Ref. [75] for a detailed derivation.

  77. S. Hannestad, Phys. Rev. D 70, 043506 (2004).
  78. P. F. de Salas, M. Lattanzi, G. Mangano, G. Miele, S. Pastor, and O. Pisanti, Phys. Rev. D 92, 123534 (2015).
  79. N. Barbieri, T. Brinckmann, S. Gariazzo, M. Lattanzi, S. Pastor, and O. Pisanti, Phys. Rev. Lett. 135, 181003 (2025).
  80. J. Lesgourgues and T. Tram, J. Cosmol. Astropart. Phys. 09 (2011) 032.
  81. F. D’Eramo, F. Hajkarim, and A. Lenoci, J. Cosmol. Astropart. Phys. 03 (2024) 009.
  82. F. D’Eramo and A. Lenoci, Phys. Rev. D 110, 116028 (2024).
  83. M. Badziak and M. Laletin, J. High Energy Phys. 02 (2025) 108.

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