English

What does it take to have $N_{\rm eff} < 3$ at CMB times?

High Energy Physics - Phenomenology 2026-04-03 v2 Cosmology and Nongalactic Astrophysics

Abstract

The vast majority of extensions of the Standard Model affecting the number of effective relativistic neutrino species (NeffN_{\rm eff}) 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<3N_{\rm eff} < 3 that are consistent with all known cosmological, astrophysical, and laboratory data. We are motivated by three main reasons: 1) a recent measurement from ACT and SPT in combination with Planck that leads to Neff=2.81±0.12N_{\rm eff} = 2.81\pm0.12, 2) by a new and powerful measurement of the primordial helium abundance, which anchors NeffN_{\rm eff} 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<3N_{\rm eff}<3. We survey the main theoretical possibilities and find that only a few simple scenarios can consistently give Neff=2.81±0.12N_{\rm eff}=2.81\pm0.12. One class consists of thermal electrophilic relics with masses m8 ⁣ ⁣13MeVm\sim 8\!-\!13\,{\rm MeV}. Another consists of out-of-equilibrium particles decaying to e+ee^+e^- or γγ\gamma\gamma, with a rather particular lifetime 0.05sτ3min0.05\,{\rm s}\lesssim \tau \lesssim 3\,{\rm min}, mass 250MeVm600MeV250\,{\rm MeV}\lesssim m \lesssim 600\,{\rm MeV}, and abundance ρ/ργ0.1\rho/\rho_\gamma\sim 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 Neff2.8N_{\rm eff} \simeq 2.8, it will point to very specific extensions of the Standard Model.

Keywords

Cite

@article{arxiv.2603.22391,
  title  = {What does it take to have $N_{\rm eff} < 3$ at CMB times?},
  author = {Miguel Escudero and Maksym Ovchynnikov and Neal Weiner},
  journal= {arXiv preprint arXiv:2603.22391},
  year   = {2026}
}

Comments

Npages = 10, Nfigures = 3, Neff < 3. Comments welcome. v2: minor update on the available parameter space of model iia)