$(g-2)_{\ell}$ and LFV decays in a $U(1)_{L_μ -L_τ}$ left-right model with inverse seesaw neutrinos

In the framework of a $U(1)_{L_μ -L_τ}$ left-right model with inverse seesaw neutrinos recently proposed, we show that one-loop contributions from heavy singly charged Higgs bosons to the anomalous magnetic moments of charged leptons $(g-2)_{e,μ}$ can accommodate the observed discrepancies, of $10^{-9}$ and $\mathcal{O}(10^{-13})$ for the muon and electron, respectively. Meanwhile, all lepton-flavor violating decay rates for $h\to e_b^\pm e_a^\mp $, $Z\to e_b^\pm e_a^\mp$, and $e_b\to e_a γ$ are found to be highly suppressed as a consequence of the gauged $U(1)_{L_μ-L_τ}$ symmetry.