Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

What does it take to have Neff<3 at CMB times?

Miguel Escudero Abenza1,*, Maksym Ovchynnikov1,†, and Neal Weiner2,‡

  • 1Theoretical Physics Department, CERN, 1 Esplanade des Particules, CH-1211 Geneva 23, Switzerland
  • 2Center for Cosmology and Particle Physics, Department of Physics, New York University, New York, New York 10003, USA

  • *Contact author: miguel.escudero@cern.ch
  • †Contact author: maksym.ovchynnikov@cern.ch
  • ‡Contact author: neal.weiner@nyu.edu

Phys. Rev. D 114, 075017 – Published 13 October, 2026

DOI: https://doi.org/10.1103/c62k-ktdc

Abstract

The vast majority of extensions of the Standard Model affecting the number of effective relativistic neutrino species (Neff) do so additively, namely, they enhance this quantity with some light state contributing to dark radiation. In this work, we consider precisely the opposite case: new physics scenarios that can lead to Neff<3 that are consistent with all known cosmological, astrophysical, and laboratory data. We are motivated by three main reasons: (1) a recent measurement from Atacama Cosmology Telescope (ACT) and the South Pole Telescope (SPT) in combination with Planck that leads to Neff=2.81±0.12, (2) by a new and powerful measurement of the primordial helium abundance, which anchors Neff to be very close to the Standard Model value one second after the big bang, (3) by the deployment of the Simons Observatory which will provide precise tests of the radiation content in the Universe and which may detect with a high significance cosmologies with Neff<3. We survey the main theoretical possibilities and find that only a few simple scenarios can consistently give Neff=2.81±0.12. One class consists of thermal electrophilic relics with masses m∼8–13  MeV. Another consists of out-of-equilibrium particles decaying to e+e− or γγ, with a rather particular lifetime 0.05  s≲τ≲3  min, mass 250  MeV≲m≲600  MeV, and abundance ρ/ργ∼0.1 at decay. Thermal electrophilic particles are especially interesting because they can account for the dark matter in the Universe and can be tested in experiments such as SENSEI, DAMIC-M, and Oscura, and their portals to the visible sector at experiments such as NA64 and LDMX. We conclude that if the Simons Observatory confirms that Neff≃2.8, it will point to very specific extensions of the Standard Model.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (111)

  1. K. Akita and M. Yamaguchi, J. Cosmol. Astropart. Phys. 08 (2020) 012.
  2. J. Froustey, C. Pitrou, and M. C. Volpe, J. Cosmol. Astropart. Phys. 12 (2020) 015.
  3. J. J. Bennett, G. Buldgen, P. F. De Salas, M. Drewes, S. Gariazzo, S. Pastor, and Y. Y. Y. Wong, J. Cosmol. Astropart. Phys. 04 (2020) 073.
  4. G. Jackson and M. Laine, J. High Energy Phys. 05 (2023) 089.
  5. G. Jackson and M. Laine, J. Cosmol. Astropart. Phys. 05 (2024) 054.
  6. O. Ihnatenko and M. Ovchynnikov, Phys. Rev. D 112, 103543 (2025).
  7. M. Escudero, G. Jackson, M. Laine, and S. Sandner, J. Cosmol. Astropart. Phys. 02 (2025) 046.
  8. R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991).
  9. S. Gariazzo, P. F. de Salas, and S. Pastor, J. Cosmol. Astropart. Phys. 07 (2019) 014.
  10. S. Chang and K. Choi, Phys. Lett. B 316, 51 (1993).
  11. S. Hannestad, A. Mirizzi, and G. Raffelt, J. Cosmol. Astropart. Phys. 07 (2005) 002.
  12. A. Caputo and G. Raffelt, Proc. Sci. COSMICWISPers (2024) 041 [arXiv:2401.13728].
  13. Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Phys. Lett. 98B, 265 (1981).
  14. S. Sandner, M. Escudero, and S. J. Witte, Eur. Phys. J. C 83, 709 (2023).
  15. H. Pagels and J. R. Primack, Phys. Rev. Lett. 48, 223 (1982).
  16. S. Weinberg, Phys. Rev. Lett. 110, 241301 (2013).
  17. M. Lindner, D. Schmidt, and T. Schwetz, Phys. Lett. B 705, 324 (2011).
  18. R. Allahverdi et al., Open J. Astrophys. 4 (2021).
  19. E. Aver, E. D. Skillman, R. W. Pogge, N. S. J. Rogers, M. K. Weller, K. A. Olive, D. A. Berg, J. J. Salzer, J. H. Miller, and J. E. Méndez-Delgado, Astrophys. J. 1008, 240 (2026).
  20. E. D. Skillman et al., Astrophys. J. 1008, 237 (2026).
  21. T.-H. Yeh, K. A. Olive, B. D. Fields, E. Aver, R. W. Pogge, N. S. J. Rogers, E. D. Skillman, and M. K. Weller, Astrophys. J. 1008, 241 (2026).
  22. E. Calabrese et al. (Atacama Cosmology Telescope Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 063.
  23. T. Louis et al. (ACT Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 062.
  24. E. Camphuis et al. (SPT-3G Collaboration), Phys. Rev. D 113, 083504 (2026).
  25. M. Tristram, M. Douspis, A. Gorce, S. Henrot-Versillé, L. T. Hergt, S. Ilic, L. McBride, M. Muñoz-Echeverría, E. Pointecouteau, and L. Salvati, Astron. Astrophys. 710, A165 (2026).
  26. D. S. Robertson, and I. F. M. Albuquerque (Simons Observatory Collaboration), J. Cosmol. Astropart. Phys. 02 (2018) 056.
  27. M. Abitbol et al. (Simons Observatory Collaboration), J. Cosmol. Astropart. Phys. 08 (2025) 034.
  28. E. W. Kolb, M. S. Turner, and T. P. Walker, Phys. Rev. D 34, 2197 (1986).
  29. P. D. Serpico and G. G. Raffelt, Phys. Rev. D 70, 043526 (2004).
  30. C. M. Ho and R. J. Scherrer, Phys. Rev. D 87, 023505 (2013).
  31. C. Boehm, M. J. Dolan, and C. McCabe, J. Cosmol. Astropart. Phys. 08 (2013) 041.
  32. K. M. Nollett and G. Steigman, Phys. Rev. D 89, 083508 (2014).
  33. N. Sabti, J. Alvey, M. Escudero, M. Fairbairn, and D. Blas, J. Cosmol. Astropart. Phys. 01 (2019) 004.
  34. P. F. Depta, M. Hufnagel, K. Schmidt-Hoberg, and S. Wild, J. Cosmol. Astropart. Phys. 04 (2019) 029.
  35. C. Giovanetti, M. Lisanti, H. Liu, and J. T. Ruderman, Phys. Rev. Lett. 129, 021302 (2022).
  36. X. Chu, J.-L. Kuo, and J. Pradler, Phys. Rev. D 106, 055022 (2022).
  37. P. F. Depta, M. Hufnagel, and K. Schmidt-Hoberg, J. Cosmol. Astropart. Phys. 05 (2020) 009.
  38. M. Escudero, C. Garcia-Perez, and M. Ovchynnikov, Eur. Phys. J. C 86, 500 (2026).
  39. E. Masso and R. Toldra, Phys. Rev. D 52, 1755 (1995).
  40. N. Sabti, A. Magalich, and A. Filimonova, J. Cosmol. Astropart. Phys. 11 (2020) 056.
  41. A. Boyarsky, M. Ovchynnikov, N. Sabti, and V. Syvolap, Phys. Rev. D 104, 035006 (2021).
  42. H. Rasmussen, A. McNichol, G. M. Fuller, and C. T. Kishimoto, Phys. Rev. D 105, 083513 (2022).
  43. M. Ovchynnikov and V. Syvolap, Phys. Rev. Lett. 134, 101003 (2025).
  44. M. Ovchynnikov and V. Syvolap, Phys. Rev. D 111, 063527 (2025).
  45. K. Akita, G. Baur, M. Ovchynnikov, T. Schwetz, and V. Syvolap, Phys. Rev. Lett. 134, 121001 (2025).
  46. D. Cadamuro and J. Redondo, J. Cosmol. Astropart. Phys. 02 (2011) 032.
  47. M. Millea, L. Knox, and B. Fields, Phys. Rev. D 92, 023010 (2015).
  48. M. Kawasaki, K. Kohri, and N. Sugiyama, Phys. Rev. Lett. 82, 4168 (1999).
  49. M. Kawasaki, K. Kohri, and N. Sugiyama, Phys. Rev. D 62, 023506 (2000).
  50. G. F. Giudice, E. W. Kolb, and A. Riotto, Phys. Rev. D 64, 023508 (2001).
  51. S. Hannestad, Phys. Rev. D 70, 043506 (2004).
  52. P. F. de Salas, M. Lattanzi, G. Mangano, G. Miele, S. Pastor, and O. Pisanti, Phys. Rev. D 92, 123534 (2015).
  53. T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram, and S. Hannestad, J. Cosmol. Astropart. Phys. 12 (2019) 012.
  54. N. Barbieri, T. Brinckmann, S. Gariazzo, M. Lattanzi, S. Pastor, and O. Pisanti, Phys. Rev. Lett. 135, 181003 (2025).
  55. O. Pisanti, G. Mangano, G. Miele, and P. Mazzella, J. Cosmol. Astropart. Phys. 04 (2020) 020.
  56. S. Gariazzo, P. F. de Salas, O. Pisanti, and R. Consiglio, Comput. Phys. Commun. 271, 108205 (2022).
  57. T.-H. Yeh, J. Shelton, K. A. Olive, and B. D. Fields, J. Cosmol. Astropart. Phys. 10 (2022) 046.
  58. M. Kawasaki and T. Moroi, Astrophys. J. 452, 506 (1995).
  59. W. Hu and J. Silk, Phys. Rev. D 48, 485 (1993).
  60. V. Poulin, J. Lesgourgues, and P. D. Serpico, J. Cosmol. Astropart. Phys. 03 (2016) 043.
  61. A. C. Sobotka, A. L. Erickcek, and T. L. Smith, Phys. Rev. D 107, 023525 (2023).
  62. K. Akita, M. Escudero, O. Ihnatenko, and M. Ovchynnikov, arXiv:2609.31833.
  63. K. Akita, M. Ovchynnikov, and V. Syvolap, arXiv:2608.10123.
  64. D. Aloni, M. Joseph, M. Schmaltz, and N. Weiner, Phys. Rev. Lett. 131, 221001 (2023).
  65. C. Giovanetti, M. Schmaltz, and N. Weiner, Phys. Rev. D 111, 043526 (2025).
  66. A. Berlin and N. Blinov, Phys. Rev. Lett. 120, 021801 (2018).
  67. V. Brdar, A. Greljo, J. Kopp, and T. Opferkuch, J. Cosmol. Astropart. Phys. 01 (2020) 039.
  68. B. Dasgupta and J. Kopp, Phys. Rev. Lett. 112, 031803 (2014).
  69. X. Chu, B. Dasgupta, and J. Kopp, J. Cosmol. Astropart. Phys. 10 (2015) 011.
  70. J. L. Feng and J. Smolinsky, Phys. Rev. D 96, 095022 (2017).
  71. A. Berlin, N. Blinov, G. Krnjaic, P. Schuster, and N. Toro, Phys. Rev. D 99, 075001 (2019).
  72. T. R. Slatyer, Phys. Rev. D 93, 023527 (2016).
  73. O. Abramoff et al. (SENSEI Collaboration), Phys. Rev. Lett. 122, 161801 (2019).
  74. K. Aggarwal et al. (DAMIC-M Collaboration), Phys. Rev. Lett. 135, 071002 (2025).
  75. N. Castelló-Mor (DAMIC-M Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 958, 162933 (2020).
  76. B. A. Cervantes-Vergara et al. (Oscura Collaboration), J. Instrum. 18, P08016 (2023).
  77. G. Krnjaic, Phys. Rev. D 113, 115057 (2026).
  78. J. de Blas et al., 10.17181/CERN.35CH.2O2P (2025).
  79. Y. M. Andreev et al. (NA64 Collaboration), Phys. Rev. Lett. 131, 161801 (2023).
  80. Y. M. Andreev et al. (NA64 Collaboration), arXiv:2505.14291.
  81. A. Burrows, M. T. Ressell, and M. S. Turner, Phys. Rev. D 42, 3297 (1990).
  82. J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 09 (2018) 051.
  83. D. F. G. Fiorillo, T. Pitik, and E. Vitagliano, Phys. Rev. Lett. 135, 071005 (2025).
  84. S. Tulin and H.-B. Yu, Phys. Rep. 730, 1 (2018).
  85. S. W. Randall, M. Markevitch, D. Clowe, A. H. Gonzalez, and M. Bradac, Astrophys. J. 679, 1173 (2008).
  86. L. Sagunski, S. Gad-Nasr, B. Colquhoun, A. Robertson, and S. Tulin, J. Cosmol. Astropart. Phys. 01 (2020) 024.
  87. M. Escudero, J. Cosmol. Astropart. Phys. 02 (2018) 007.
  88. M. Escudero Abenza, J. Cosmol. Astropart. Phys. 05 (2020) 048.
  89. C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Phys. Rep. 754, 1 (2018).
  90. C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Mon. Not. R. Astron. Soc. 502, 2474 (2021).
  91. S. Navas et al. (Particle Data Group Collaboration), Phys. Rev. D 110, 030001 (2024).
  92. Y. Kyselov and M. Ovchynnikov, Phys. Rev. D 111, 015030 (2025).
  93. E. W. Kolb and M. S. Turner, Front. Phys. 69, 1 (1990).
  94. G. G. Raffelt, Stars as Laboratories for Fundamental Physics: The Astrophysics of Neutrinos, Axions, and Other Weakly Interacting Particles (University of Chicago press, Chicago, IL, 1996).
  95. A. Caputo, H.-T. Janka, G. Raffelt, and E. Vitagliano, Phys. Rev. Lett. 128, 221103 (2022).
  96. M. Diamond, D. F. G. Fiorillo, G. Marques-Tavares, I. Tamborra, and E. Vitagliano, Phys. Rev. Lett. 132, 101004 (2024).
  97. J. Jaeckel, P. C. Malta, and J. Redondo, Phys. Rev. D 98, 055032 (2018).
  98. A. Caputo, G. Raffelt, and E. Vitagliano, Phys. Rev. D 105, 035022 (2022).
  99. S. Hoof and L. Schulz, J. Cosmol. Astropart. Phys. 03 (2022) 054.
  100. F. R. Candón, D. F. G. Fiorillo, H.-T. Janka, B. F. A. van Baal, and E. Vitagliano, Phys. Rev. Lett. 137, 061004 (2026).
  101. J. Redondo and M. Postma, J. Cosmol. Astropart. Phys. 02 (2008) 005.
  102. J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 01 (2016) 107.
  103. A. Caputo, J. Park, and S. Yun, Phys. Rev. D 113, 075001 (2026).
  104. A. Caputo and R. Essig, arXiv:2603.08430.
  105. M. H. Reno and D. Seckel, Phys. Rev. D 37, 3441 (1988).
  106. M. Pospelov and J. Pradler, Phys. Rev. D 82, 103514 (2010).
  107. K. Akita, G. Baur, M. Ovchynnikov, T. Schwetz, and V. Syvolap, Phys. Rev. D 111, 063542 (2025).
  108. T. Akesson et al. (LDMX Collaboration), arXiv:2508.11833.
  109. R. J. Cooke, M. Pettini, and C. C. Steidel, Astrophys. J. 855, 102 (2018).
  110. C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Nat. Rev. Phys. 3, 231 (2021).
  111. T.-H. Yeh, K. A. Olive, and B. D. Fields, J. Cosmol. Astropart. Phys. 03 (2020) 046.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation