Charged lepton flavor violation in the B - L symmetric SSM

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 - 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 - 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.