- Open Access
What does it take to have at CMB times?
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 () 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 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 , (2) by a new and powerful measurement of the primordial helium abundance, which anchors 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 . We survey the main theoretical possibilities and find that only a few simple scenarios can consistently give . One class consists of thermal electrophilic relics with masses . Another consists of out-of-equilibrium particles decaying to or , with a rather particular lifetime , mass , and abundance 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 , it will point to very specific extensions of the Standard Model.
Physics Subject Headings (PhySH)
Article Text
References (111)
- K. Akita and M. Yamaguchi, J. Cosmol. Astropart. Phys. 08 (2020) 012.
- J. Froustey, C. Pitrou, and M. C. Volpe, 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, J. Cosmol. Astropart. Phys. 04 (2020) 073.
- G. Jackson and M. Laine, J. High Energy Phys. 05 (2023) 089.
- G. Jackson and M. Laine, J. Cosmol. Astropart. Phys. 05 (2024) 054.
- O. Ihnatenko and M. Ovchynnikov, Phys. Rev. D 112, 103543 (2025).
- M. Escudero, G. Jackson, M. Laine, and S. Sandner, J. Cosmol. Astropart. Phys. 02 (2025) 046.
- R. Barbieri and A. Dolgov, Nucl. Phys. B349, 743 (1991).
- S. Gariazzo, P. F. de Salas, and S. Pastor, J. Cosmol. Astropart. Phys. 07 (2019) 014.
- S. Chang and K. Choi, Phys. Lett. B 316, 51 (1993).
- S. Hannestad, A. Mirizzi, and G. Raffelt, J. Cosmol. Astropart. Phys. 07 (2005) 002.
- A. Caputo and G. Raffelt, Proc. Sci. COSMICWISPers (2024) 041 [arXiv:2401.13728].
- Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Phys. Lett. 98B, 265 (1981).
- S. Sandner, M. Escudero, and S. J. Witte, Eur. Phys. J. C 83, 709 (2023).
- H. Pagels and J. R. Primack, Phys. Rev. Lett. 48, 223 (1982).
- S. Weinberg, Phys. Rev. Lett. 110, 241301 (2013).
- M. Lindner, D. Schmidt, and T. Schwetz, Phys. Lett. B 705, 324 (2011).
- R. Allahverdi et al., Open J. Astrophys. 4 (2021).
- 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).
- E. D. Skillman et al., Astrophys. J. 1008, 237 (2026).
- 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).
- E. Calabrese et al. (Atacama Cosmology Telescope Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 063.
- T. Louis et al. (ACT Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 062.
- E. Camphuis et al. (SPT-3G Collaboration), Phys. Rev. D 113, 083504 (2026).
- 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).
- D. S. Robertson, and I. F. M. Albuquerque (Simons Observatory Collaboration), J. Cosmol. Astropart. Phys. 02 (2018) 056.
- M. Abitbol et al. (Simons Observatory Collaboration), J. Cosmol. Astropart. Phys. 08 (2025) 034.
- E. W. Kolb, M. S. Turner, and T. P. Walker, Phys. Rev. D 34, 2197 (1986).
- P. D. Serpico and G. G. Raffelt, Phys. Rev. D 70, 043526 (2004).
- C. M. Ho and R. J. Scherrer, Phys. Rev. D 87, 023505 (2013).
- C. Boehm, M. J. Dolan, and C. McCabe, J. Cosmol. Astropart. Phys. 08 (2013) 041.
- K. M. Nollett and G. Steigman, Phys. Rev. D 89, 083508 (2014).
- N. Sabti, J. Alvey, M. Escudero, M. Fairbairn, and D. Blas, J. Cosmol. Astropart. Phys. 01 (2019) 004.
- P. F. Depta, M. Hufnagel, K. Schmidt-Hoberg, and S. Wild, J. Cosmol. Astropart. Phys. 04 (2019) 029.
- C. Giovanetti, M. Lisanti, H. Liu, and J. T. Ruderman, Phys. Rev. Lett. 129, 021302 (2022).
- X. Chu, J.-L. Kuo, and J. Pradler, Phys. Rev. D 106, 055022 (2022).
- P. F. Depta, M. Hufnagel, and K. Schmidt-Hoberg, J. Cosmol. Astropart. Phys. 05 (2020) 009.
- M. Escudero, C. Garcia-Perez, and M. Ovchynnikov, Eur. Phys. J. C 86, 500 (2026).
- E. Masso and R. Toldra, Phys. Rev. D 52, 1755 (1995).
- N. Sabti, A. Magalich, and A. Filimonova, J. Cosmol. Astropart. Phys. 11 (2020) 056.
- A. Boyarsky, M. Ovchynnikov, N. Sabti, and V. Syvolap, Phys. Rev. D 104, 035006 (2021).
- H. Rasmussen, A. McNichol, G. M. Fuller, and C. T. Kishimoto, Phys. Rev. D 105, 083513 (2022).
- M. Ovchynnikov and V. Syvolap, Phys. Rev. Lett. 134, 101003 (2025).
- M. Ovchynnikov and V. Syvolap, Phys. Rev. D 111, 063527 (2025).
- K. Akita, G. Baur, M. Ovchynnikov, T. Schwetz, and V. Syvolap, Phys. Rev. Lett. 134, 121001 (2025).
- D. Cadamuro and J. Redondo, J. Cosmol. Astropart. Phys. 02 (2011) 032.
- M. Millea, L. Knox, and B. Fields, Phys. Rev. D 92, 023010 (2015).
- M. Kawasaki, K. Kohri, and N. Sugiyama, Phys. Rev. Lett. 82, 4168 (1999).
- M. Kawasaki, K. Kohri, and N. Sugiyama, Phys. Rev. D 62, 023506 (2000).
- G. F. Giudice, E. W. Kolb, and A. Riotto, Phys. Rev. D 64, 023508 (2001).
- S. Hannestad, Phys. Rev. D 70, 043506 (2004).
- P. F. de Salas, M. Lattanzi, G. Mangano, G. Miele, S. Pastor, and O. Pisanti, Phys. Rev. D 92, 123534 (2015).
- T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram, and S. Hannestad, J. Cosmol. Astropart. Phys. 12 (2019) 012.
- N. Barbieri, T. Brinckmann, S. Gariazzo, M. Lattanzi, S. Pastor, and O. Pisanti, Phys. Rev. Lett. 135, 181003 (2025).
- O. Pisanti, G. Mangano, G. Miele, and P. Mazzella, J. Cosmol. Astropart. Phys. 04 (2020) 020.
- S. Gariazzo, P. F. de Salas, O. Pisanti, and R. Consiglio, Comput. Phys. Commun. 271, 108205 (2022).
- T.-H. Yeh, J. Shelton, K. A. Olive, and B. D. Fields, J. Cosmol. Astropart. Phys. 10 (2022) 046.
- M. Kawasaki and T. Moroi, Astrophys. J. 452, 506 (1995).
- W. Hu and J. Silk, Phys. Rev. D 48, 485 (1993).
- V. Poulin, J. Lesgourgues, and P. D. Serpico, J. Cosmol. Astropart. Phys. 03 (2016) 043.
- A. C. Sobotka, A. L. Erickcek, and T. L. Smith, Phys. Rev. D 107, 023525 (2023).
- K. Akita, M. Escudero, O. Ihnatenko, and M. Ovchynnikov, arXiv:2609.31833.
- K. Akita, M. Ovchynnikov, and V. Syvolap, arXiv:2608.10123.
- D. Aloni, M. Joseph, M. Schmaltz, and N. Weiner, Phys. Rev. Lett. 131, 221001 (2023).
- C. Giovanetti, M. Schmaltz, and N. Weiner, Phys. Rev. D 111, 043526 (2025).
- A. Berlin and N. Blinov, Phys. Rev. Lett. 120, 021801 (2018).
- V. Brdar, A. Greljo, J. Kopp, and T. Opferkuch, J. Cosmol. Astropart. Phys. 01 (2020) 039.
- B. Dasgupta and J. Kopp, Phys. Rev. Lett. 112, 031803 (2014).
- X. Chu, B. Dasgupta, and J. Kopp, J. Cosmol. Astropart. Phys. 10 (2015) 011.
- J. L. Feng and J. Smolinsky, Phys. Rev. D 96, 095022 (2017).
- A. Berlin, N. Blinov, G. Krnjaic, P. Schuster, and N. Toro, Phys. Rev. D 99, 075001 (2019).
- T. R. Slatyer, Phys. Rev. D 93, 023527 (2016).
- O. Abramoff et al. (SENSEI Collaboration), Phys. Rev. Lett. 122, 161801 (2019).
- K. Aggarwal et al. (DAMIC-M Collaboration), Phys. Rev. Lett. 135, 071002 (2025).
- N. Castelló-Mor (DAMIC-M Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 958, 162933 (2020).
- B. A. Cervantes-Vergara et al. (Oscura Collaboration), J. Instrum. 18, P08016 (2023).
- G. Krnjaic, Phys. Rev. D 113, 115057 (2026).
- J. de Blas et al., 10.17181/CERN.35CH.2O2P (2025).
- Y. M. Andreev et al. (NA64 Collaboration), Phys. Rev. Lett. 131, 161801 (2023).
- Y. M. Andreev et al. (NA64 Collaboration), arXiv:2505.14291.
- A. Burrows, M. T. Ressell, and M. S. Turner, Phys. Rev. D 42, 3297 (1990).
- J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 09 (2018) 051.
- D. F. G. Fiorillo, T. Pitik, and E. Vitagliano, Phys. Rev. Lett. 135, 071005 (2025).
- S. Tulin and H.-B. Yu, Phys. Rep. 730, 1 (2018).
- S. W. Randall, M. Markevitch, D. Clowe, A. H. Gonzalez, and M. Bradac, Astrophys. J. 679, 1173 (2008).
- L. Sagunski, S. Gad-Nasr, B. Colquhoun, A. Robertson, and S. Tulin, J. Cosmol. Astropart. Phys. 01 (2020) 024.
- M. Escudero, J. Cosmol. Astropart. Phys. 02 (2018) 007.
- M. Escudero Abenza, J. Cosmol. Astropart. Phys. 05 (2020) 048.
- C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Phys. Rep. 754, 1 (2018).
- C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Mon. Not. R. Astron. Soc. 502, 2474 (2021).
- S. Navas et al. (Particle Data Group Collaboration), Phys. Rev. D 110, 030001 (2024).
- Y. Kyselov and M. Ovchynnikov, Phys. Rev. D 111, 015030 (2025).
- E. W. Kolb and M. S. Turner, Front. Phys. 69, 1 (1990).
- 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).
- A. Caputo, H.-T. Janka, G. Raffelt, and E. Vitagliano, Phys. Rev. Lett. 128, 221103 (2022).
- M. Diamond, D. F. G. Fiorillo, G. Marques-Tavares, I. Tamborra, and E. Vitagliano, Phys. Rev. Lett. 132, 101004 (2024).
- J. Jaeckel, P. C. Malta, and J. Redondo, Phys. Rev. D 98, 055032 (2018).
- A. Caputo, G. Raffelt, and E. Vitagliano, Phys. Rev. D 105, 035022 (2022).
- S. Hoof and L. Schulz, J. Cosmol. Astropart. Phys. 03 (2022) 054.
- F. R. Candón, D. F. G. Fiorillo, H.-T. Janka, B. F. A. van Baal, and E. Vitagliano, Phys. Rev. Lett. 137, 061004 (2026).
- J. Redondo and M. Postma, J. Cosmol. Astropart. Phys. 02 (2008) 005.
- J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 01 (2016) 107.
- A. Caputo, J. Park, and S. Yun, Phys. Rev. D 113, 075001 (2026).
- A. Caputo and R. Essig, arXiv:2603.08430.
- M. H. Reno and D. Seckel, Phys. Rev. D 37, 3441 (1988).
- M. Pospelov and J. Pradler, Phys. Rev. D 82, 103514 (2010).
- K. Akita, G. Baur, M. Ovchynnikov, T. Schwetz, and V. Syvolap, Phys. Rev. D 111, 063542 (2025).
- T. Akesson et al. (LDMX Collaboration), arXiv:2508.11833.
- R. J. Cooke, M. Pettini, and C. C. Steidel, Astrophys. J. 855, 102 (2018).
- C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Nat. Rev. Phys. 3, 231 (2021).
- T.-H. Yeh, K. A. Olive, and B. D. Fields, J. Cosmol. Astropart. Phys. 03 (2020) 046.