A Limit on the Total Lepton Number in the Universe from BBN and the CMB

Fuente: arXiv
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Auteurs principaux: Domcke, Valerie, Escudero, Miguel, Navarro, Mario Fernandez, Sandner, Stefan
Format: Preprint
Publié: 2025
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author Domcke, Valerie
Escudero, Miguel
Navarro, Mario Fernandez
Sandner, Stefan
author_facet Domcke, Valerie
Escudero, Miguel
Navarro, Mario Fernandez
Sandner, Stefan
contents At temperatures below the QCD phase transition, any substantial lepton number in the Universe can only be present within the neutrino sector. In this work, we systematically explore the impact of a non-vanishing lepton number on Big Bang Nucleosynthesis (BBN) and the Cosmic Microwave Background (CMB). Relying on our recently developed framework based on momentum averaged quantum kinetic equations for the neutrino density matrix, we solve the full BBN reaction network to obtain the abundances of primordial elements. We find that the maximal primordial total lepton number $L$ allowed by BBN and the CMB is $-0.12 \,(-0.10) \leq L \leq 0.13\,(0.12) $ for NH (IH), while specific flavor directions can be even more constrained. This bound is complementary to the limits obtained from avoiding baryon overproduction through sphaleron processes at the electroweak phase transition since, although numerically weaker, it applies at lower temperatures and is obtained completely independently. We publicly release the C++ code COFLASY-C on GitHub which solves for the evolution of the neutrino quantum kinetic equations numerically.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02438
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Limit on the Total Lepton Number in the Universe from BBN and the CMB
Domcke, Valerie
Escudero, Miguel
Navarro, Mario Fernandez
Sandner, Stefan
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
At temperatures below the QCD phase transition, any substantial lepton number in the Universe can only be present within the neutrino sector. In this work, we systematically explore the impact of a non-vanishing lepton number on Big Bang Nucleosynthesis (BBN) and the Cosmic Microwave Background (CMB). Relying on our recently developed framework based on momentum averaged quantum kinetic equations for the neutrino density matrix, we solve the full BBN reaction network to obtain the abundances of primordial elements. We find that the maximal primordial total lepton number $L$ allowed by BBN and the CMB is $-0.12 \,(-0.10) \leq L \leq 0.13\,(0.12) $ for NH (IH), while specific flavor directions can be even more constrained. This bound is complementary to the limits obtained from avoiding baryon overproduction through sphaleron processes at the electroweak phase transition since, although numerically weaker, it applies at lower temperatures and is obtained completely independently. We publicly release the C++ code COFLASY-C on GitHub which solves for the evolution of the neutrino quantum kinetic equations numerically.
title A Limit on the Total Lepton Number in the Universe from BBN and the CMB
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2510.02438