Phenomenological Aspects of Possible Vacua of a Neutrino Flavor Model

TL;DR

This paper explores the vacuum structures and phenomenological implications of a supersymmetric $A_4\times Z_3$ flavor model, analyzing how different vacua affect lepton mixing parameters and CP phases.

Contribution

It classifies 24 vacua into two types and derives explicit expressions for lepton mixing angles and CP phases for each, linking vacuum structure to observable parameters.

Findings

Identified two distinct vacuum types with different phenomenological predictions.

Derived formulas for lepton mixing angles and CP phases for each vacuum type.

Numerically constrained model parameters based on experimental lepton mixing data.

Abstract

We discuss a supersymmetric model with discrete flavor symmetry $A_4\times Z_3$. The additional scalar fields which contribute masses of leptons in the Yukawa terms are introduced in this model. We analyze their scalar potential and find that they have various vacuum structures. We show the relations among 24 different vacua and classify them into two types. We derive expressions of the lepton mixing angles, Dirac CP violating phase and Majorana phases for the two types. The model parameters which are allowed by the experimental data of the lepton mixing angles are different for each type. We also study the constraints on the model parameters which are related to Majorana phases. The different allowed regions of the model parameters for the two types are shown numerically for a given region of two combinations of the CP violating phases.