Decays $Z\to e_ae_b$ in a 3-3-1 model with neutral leptons

TL;DR

This paper explores a 3-3-1 model with neutral leptons that can explain various lepton flavor violating decays of the Z boson, Higgs boson, and charged leptons, consistent with experimental data.

Contribution

It demonstrates that the 3-3-1 model with neutral leptons can simultaneously account for multiple LFV decays and predicts relations among their decay rates.

Findings

The model explains Z and Higgs LFV decays consistent with experiments.

Strict relations among decay rates are predicted by the model.

Decay channels can be theoretically determined if one is experimentally observed.

Abstract

We investigate the 3-3-1 model with neutral leptons (called the 331$NL$ for short) and by that, we will point out that this model can simultaneously explain the lepton flavor violating (LFV) decays of the $Z$ boson $Z \to e_a e_b$, Standard model-like Higgs boson decay $h\to e_be_a$, and the charged leptons $e_b\to e_a \gamma$ consistent with the recent experimental data. In addition, the numerical results show strict relations among these decay rates of $Z$ and $h$ which are predicted by this model. As a result, the decay channels can be determined theoretically if one of them is detected by experiments.