LFV decays in a 3-4-1 model with minimal inverse seesaw neutrinos

TL;DR

This paper explores an extended 3-4-1 model with a new charged Higgs and inverse seesaw neutrinos, explaining lepton anomalies and flavor violations, with predictions testable in future experiments.

Contribution

It introduces a novel 3-4-1 model that correlates lepton-flavor-violating decays with the muon g-2 anomaly, consistent with current data.

Findings

Model predicts strong correlations among observables.

Current bounds on tau to mu gamma constrain muon g-2 deviations.

Future experiments will tighten these constraints.

Abstract

We investigate an extended 3-4-1 model consisting of a new singly charged Higgs boson, implementing the minimal inverse seesaw mechanism to accommodate the large values of the $(g-2)_{e,\mu}$ anomalies as well as the lepton-flavor-violating decay rates of charged leptons, the Standard Model-like Higgs boson, and the $Z$ boson, all consistent with current experimental data. Unlike the previously studied 3-4-1 realization, the model considered here predicts strong correlations among these observables that can be tested in future experiments. In particular, the current upper bound on Br$(\tau \to \mu \gamma)$ imposes a stringent constraint compatible with the $1\sigma$ experimental range of $(g-2)_{\mu}$, corresponding to a maximal deviation of $10^{-9}$ from the SM prediction. The forthcoming experimental sensitivity to Br$(\tau \to \mu\gamma)$ will reduce this deviation to $5\times 10^{-10}$.