- Open Access
Early-Universe constraints on the electron mass
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 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 annihilation. Varying shifts the decoupling epoch and the entropy transfer from annihilation, thereby modifying the neutrino energy density and the inferred effective number of relativistic species, . Independently, during BBN, the rates of charged-current weak processes, and hence the neutron-to-proton ratio, depend on . By confronting BBN predictions for the primordial light-element abundances with observations and imposing cosmological constraints on , we obtain the following bounds on in the early Universe: (for the NACRE II nuclear reaction network) or (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 (NACRE II) or (PRIMAT) The obtained allowed ranges are close to the present laboratory value at the level of , depending on the dataset and nuclear network, thus supporting the constancy of the electron mass over cosmological timescales.
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