Abstract

         Lepton-flavor-violating (LFV) processes involving charged leptons, such as , the Standard Model (SM)-like Higgs boson decays , and the neutral gauge boson decays , are beyond the SM framework.  Nevertheless, these processes remain among the primary targets of current and future experimental searches. Consequently, extensions of the SM, including our recently proposed left-right (LR) symmetric model with inverse seesaw neutrinos, are required to simultaneously investigate LFV decays and sizable anomalous magnetic moments (AMMs) of charged leptons consistent with experimental observations. Experimental data on these quantities , often significantly affect the phenomenologically viable regions that predict LFV decay rates, particularly in beyond the standard model (BSM) scenarios that also account for neutrino oscillation data.

         It is therefore essential to analyze  together with the aforementioned decays within the allowed regions of the parameter space of such models in order to assess the potential of future experimental LFV searches as promising new physics signals. In this work, we investigate an extension of the LR symmetry model with inverse seesaw neutrinos and numerically demonstrate that the three processes ,   and  remain promising probes of new physics in light of the 2025 results for the muon AMMs .

         Although this new experimental result is consistent with SM predictions and differs significantly from previous discussions, these decay channels remain potentially testable in near-future experiments, even within parameter regions that allow sizable deviations from the SM predictions for both (g-2)_e,μ. Our findings suggest that the allowed regions predicted by the model under consideration are significantly affected by updated experimental upper limits on LFV processes. In addition, several phenomenologically interesting correlations among these observables are identified and discussed in detail.