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Lepton-flavor violation and two loop electroweak corrections to (g−2)μ in the triplets next-to-minimal MSSM

Zhao-Yang Zhang*

  • *Contact author: 1311274306@qq.com
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Phys. Rev. D 112, 073003 – Published 14 October, 2025

DOI: https://doi.org/10.1103/x7sb-n9lw

Abstract

In the Standard Model (SM), charged lepton flavor-violating (LFV) processes are strictly forbidden, and thus observation of LFV would signal the presence of new physics. Recently, the Muon g−2 Collaboration at Fermilab reported their final result for the muon magnetic dipole moment (MDM), which is now consistent with the latest SM prediction at the 1σ level. This imposes a significant constraint on new-physics contributions to (g−2)μ. In this work, we study the LFV processes ℓj−→ℓi−γ and ℓj−→ℓi−ℓi−ℓi+ within the framework of the triplet next-to-minimal supersymmetric standard model (TNMSSM). We include two-loop contributions to the muon MDM and investigate the resulting constraints on the model parameter space. Our numerical analysis shows that, in the TNMSSM, doubly charged Higgs bosons and the couplings YL and YD associated with the type-I+II seesaw mechanism play a crucial role in both LFV processes and the muon MDM. Moreover, two-loop electroweak corrections have a significant impact on the muon MDM in this framework.

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Phys. Rev. D 112, 073003– Published 14 October, 2025
  • Received 28 May 2025
  • Accepted 23 September 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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