Analyses of scalar potential and lepton flavor violating decays in a model with $A_4$ symmetry

TL;DR

This paper analyzes a neutrino mass model with $A_4$ symmetry involving multiple Higgs fields, constructing the scalar potential, determining VEVs, and exploring implications for neutrino oscillations and lepton flavor violation.

Contribution

It introduces an extended scalar sector with additional Higgs doublets to achieve realistic VEVs and explains neutrino oscillation data within an $A_4$ symmetric framework.

Findings

Two Higgs triplets can have zero VEVs after potential minimization.

Adding two Higgs doublets allows all triplets to acquire non-zero VEVs.

The model's predictions are consistent with current neutrino oscillation data.

Abstract

We have considered a model, originally proposed by Ma and Wegman, where the mixing pattern in neutrino sector is explained with three Higgs doublets, six Higgs triplets and $A_4$ symmetry. The mixing pattern is explained with the help of vacuum expectation values (VEVs) of the above mentioned doublets and triplets. In order to study about the VEVs of the scalar fields, we construct the full invariant scalar potential of this model. After minimizing this scalar potential, we have found that two Higgs triplets can acquire zero VEVs. In order to generate non-zero VEVs to all the six Higgs triplets, we have added two more Higgs doublets to the model. Thereafter we have demonstrated that the current neutrino oscillation data can be consistently explained in our model. To study some phenomenological implications of this model, we have worked out on the branching ratios for lepton flavor violating decays.