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Lepton and baryon numbers as local gauge symmetries

Pavel Fileviez Pérez

  • Physics Department and Center for Education and Research in Cosmology and Astrophysics (CERCA), Case Western Reserve University, Cleveland, Ohio 44106, USA

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Phys. Rev. D 110, 035018 – Published 12 August, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.035018

Abstract

A simple theory where the total lepton number is a local gauge symmetry is proposed. In this context, the gauge anomalies are canceled with the minimal number of extra fermionic fields and one predicts that the neutrinos are Majorana fermions. The properties of the neutrino sector are discussed, showing that this theory predicts a 3+2 light neutrino sector. We show that using the same fermionic fields one can gauge the baryon number and define a simple theory where the lepton and baryon numbers can be spontaneously broken at the low scale in agreement with experiments.

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Phys. Rev. D 110, 035018– Published 12 August, 2024
  • Received 13 June 2024
  • Accepted 22 July 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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