Non-SUSY Lepton Flavor Model with 3HDM

TL;DR

This paper presents a non-supersymmetric lepton flavor model with A4 symmetry and three Higgs doublets, predicting neutrino phases, masses, and mixing angles consistent with current data, and testable in future experiments.

Contribution

It introduces a minimal A4-symmetric three-Higgs-doublet model that predicts neutrino phases and masses, linking them to measurable parameters like $ heta_{23}$ and CP phases.

Findings

Predicts Dirac CP phase and Majorana phases for inverted hierarchy.

Forecasts effective neutrino mass for neutrinoless double beta decay.

Provides neutrino mass predictions within experimental reach.

Abstract

We propose a simple non-supersymmetric lepton flavor model with $A_4$ symmetry. The $A_4$ group is a minimal one which includes triplet irreducible representation. We introduce three Higgs doublets which are assigned as triplet of the $A_4$ symmetry. It is natural that there are three generations of the Higgs fields as same as the standard model fermions. We study the potential analysis and we get the vacuum expectation values for the local minimum. In the vacuum expectation values, we obtain the charged lepton, Dirac neutrino, and right-handed Majorana neutrino mass matrices. By using type-I seesaw mechanism, we get the left-handed Majorana neutrino mass matrix. In the NuFIT 5.1 data, we predict the Dirac CP phase and the Majorana phases for the only inverted neutrino mass hierarchy. Especially, the Dirac CP phase and lepton mixing angle $\theta_{23}$ are strongly correlated. If the $\theta_{23}$ is more precise measured, the Dirac CP phase is more precise predicted, and vice versa. We also predict the effective mass for neutrino-less double beta decay $m_{ee}\simeq 47.1~[\mathrm{meV}]$ and the lightest neutrino mass $m_3\simeq 0.789$~-~$1.43~[\mathrm{meV}]$. It is testable for our model in the near future neutrino experiments.