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  • Open Access

Early-Universe constraints on the electron mass

Michela Garramone1,2,3,*, Nicolao Fornengo1,2,†, and Stefano Gariazzo1,2,3,‡

  • *Contact author: michela.garramone@unito.it
  • †Contact author: nicolao.fornengo@unito.it
  • ‡Contact author: stefano.gariazzo@unito.it

Phys. Rev. D 113, 123008 – Published 2 June, 2026

DOI: https://doi.org/10.1103/s3c6-h22g

Abstract

We investigate the impact of a nonstandard electron mass me on early-Universe thermal history, focusing on neutrino decoupling and big bang nucleosynthesis (BBN). In the standard cosmology, neutrino-electron interactions keep neutrinos in thermal contact with the electromagnetic plasma until shortly before e± annihilation. Varying me shifts the decoupling epoch and the entropy transfer from e± annihilation, thereby modifying the neutrino energy density and the inferred effective number of relativistic species, Neff. Independently, during BBN, the rates of charged-current weak processes, and hence the neutron-to-proton ratio, depend on me. By confronting BBN predictions for the primordial light-element abundances with observations and imposing cosmological constraints on Neff, we obtain the following 1σ bounds on me in the early Universe: me=0.505−0.007+0.006  MeV (for the NACRE II nuclear reaction network) or me=0.509−0.004+0.005  MeV (for the PRIMAT nuclear reaction network). These bounds have been derived by adopting the recent determination of the primordial helium-4 abundance by the Large Binocular Telescope observations of 54 metal-poor H ii regions. If instead we adopt the Particle Data Book helium-4 abundance, the bounds are me=0.503−0.015+0.011  MeV (NACRE II) or me=0.521−0.007+0.009  MeV (PRIMAT) The obtained allowed ranges are close to the present laboratory value at the level of ∼0.4%–2%, depending on the dataset and nuclear network, thus supporting the constancy of the electron mass over cosmological timescales.

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