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  • Open Access

Lepton number survival in the cosmic neutrino background

Oleg Ruchayskiy1, Vsevolod Syvolap2, and Robin Würsch3

  • 1Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
  • 2Lorenz Institute, Leiden University, Niels Bohrweg 2, NL-2333 CA, Leiden, The Netherlands
  • 3École Polytechnique Fédérale de Lausanne, FSB/ITP/LPPC, BSP, CH-1015, Lausanne, Switzerland

Phys. Rev. D 108, 123503 – Published 1 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.123503

Abstract

The hot big bang model predicts the existence of a cosmic neutrino background. The number of particles and antiparticles in this primordial bath of neutrinos can be different—a memory of processes that took place at very early epochs. If neutrinos were massless, this asymmetry would not change once neutrinos froze out. However, in the case of massive particles, the asymmetry is not protected by conservation laws and can get erased via helicity-flipping scatterings off matter inhomogeneities. We evaluate this helicity-flipping rate and demonstrate that if relic lepton asymmetry ever existed, it would remained largely intact in the Earth’s neighborhood for realistic values of neutrino masses.

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