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  • Open Access

Lepton flavor violation and local lepton number

Hridoy Debnath* and Pavel Fileviez Pérez†

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

  • *Contact author: hxd253@case.edu
  • †Contact author: pxf112@case.edu
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Phys. Rev. D 112, 095043 – Published 24 November, 2025

DOI: https://doi.org/10.1103/7clk-cmgc

Abstract

We investigate the predictions for lepton number violating processes within the minimal theory of neutrino masses based on the spontaneous breaking of local lepton number. In this framework, the symmetry is broken at the low scale, leading to the existence of a viable dark matter candidate. The new fermions required for anomaly cancellation mediate lepton number violating processes at the one-loop level. We present a detailed calculation of the most relevant processes, including μ→eγ, μ→3e, and μ→e conversion in nuclei. The regions of parameter space excluded by current experimental bounds are identified, and we emphasize the interplay between collider observables and charged lepton flavor violating signatures as a key test of this theory of neutrino masses.

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Phys. Rev. D 112, 095043– Published 24 November, 2025
  • Received 15 October 2025
  • Accepted 6 November 2025
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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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