Charged lepton flavor violation (CLFV) represents a clear new physics (NP) signal beyond the standard model (SM). In this work, we investigate CLFV processes $l_j^{-}\to l_i^{-}\gamma$ utilizing mass insertion approximation (MIA) in the minimal supersymmetric extension of the SM with local $B-L$ gauge symmetry ($B-L$ SSM). The MIA method can provide a set of simple analytic formulas for the form factors and the associated effective vertices, so that the movement of the CLFV decays $l_j^{-}\to l_i^{-}\gamma$ with the sensitive parameters will be intuitively analyzed. Considering the SM-like Higgs boson mass and the muon anomalous dipole moment (MDM) within $4\sigma$, $3\sigma$, and $2\sigma$ regions, we discuss the corresponding constraints on the relevant parameter space of the model.

• Received 25 June 2023
• Accepted 23 February 2024

DOI:https://doi.org/10.1103/PhysRevD.109.055019

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.

Published by the American Physical Society