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Radiative lepton model in a noninvertible fusion rule

Takaaki Nomura1,*, Hiroshi Okada2,†, and Yoshihiro Shigekami2,‡

  • *Contact author: nomura@scu.edu.cn
  • †Contact author: hiroshi3okada@htu.edu.cn
  • ‡Contact author: shigekami@htu.edu.cn
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Phys. Rev. D 113, 115041 – Published 15 June, 2026

DOI: https://doi.org/10.1103/4g19-wmcs

Abstract

We propose a radiatively induced lepton mass model introducing a Z2 gauging Z5 fusion rule. In our framework, the charged-lepton mass matrix is generated at one-loop level via dynamical breaking of the fusion rule. On the other hand, the neutrino mass matrix is induced at the one-loop level without breaking the fusion rule. As a direct consequence of the loop induced charged lepton masses, we can also consider lepton flavor violations, electron and muon g−2, and charged-lepton electric dipole moments that come into our valid phenomenological discussion. Then, we perform numerical analysis and show some interesting tendency on the Dirac CP phase, two Majorana phases, charged-lepton electric dipole moments and the neutrinoless double beta decay, all of which depends on their arguments where we fix the absolute values of our free parameters in order to satisfy experimental data of the lepton masses and mixing angles.

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Phys. Rev. D 113, 115041– Published 15 June, 2026
  • Received 8 November 2025
  • Accepted 21 May 2026
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