Signatures of $A_4$ symmetry in the charged lepton flavour violating decays in a neutrino mass model

TL;DR

This paper investigates how $A_4$ symmetry in a neutrino mass model influences charged lepton flavour violating decays, predicting distinctive signatures and decay rates for various processes.

Contribution

It introduces specific signatures of $A_4$ symmetry in charged lepton flavour violation and calculates decay rates within this neutrino mass model.

Findings

Characteristic decay signatures due to $A_4$ symmetry

Predicted rates for key charged lepton flavour violating modes

Tree-level decays of mesons, top quark, and tau lepton

Abstract

We study the charged lepton flavour violation in a popular neutrino mass model with $A_4$ discrete symmetry. This symmetry requires the presence of multiple Higgs doublets in the model and it also dictates the flavour violating Yukawa couplings of the additional neutral scalars of the model. Such couplings lead to the decays of the neutral mesons, the top quark and the $\tau$ lepton into charged leptons of different flavours at tree level. The $A_4$ symmetry of the model leads to certain characteristic signatures in these decays. We discuss these signatures and predict the rates for the most favourable charged lepton flavour violating modes.