$(g-2{)}_{e,\mu }$ anomalies and decays $h,Z\to e_b{e}_a$ in 3-3-1 models with inverse seesaw neutrinos

Abstract

The lepton flavor violating (LFV) decays $h,Z\to e_b{e}_a$, and $e_b\to e_a\gamma$ are discussed in a class of general 3-3-1 models adding heavy neutral leptons and singly charged Higgs bosons to accommodate experimental data of neutrino oscillation and $(g-2{)}_{e_a}$ anomalies of charged leptons through the inverse seesaw mechanism. We show that the models with the minimal number of inverse seesaw neutrinos cannot reach the $1\sigma$ range of $(g-2{)}_{\mu }$ data due to the experimental upper bounds on decay rates of $(\tau \to \mu \gamma )$ and $(\mu \to e\gamma )$. Features of LFV decays are presented in detail, focusing on the regions of parameter space satisfying the $1\sigma$ ranges of $(g-2{)}_{e,\mu }$ data.

Comments: 49 pages,9 figures. Accepted for publication in PRD