Neutrino mixing with non-zero $\theta_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry

TL;DR

This paper introduces a 3-3-1 model based on $A_4$ flavor symmetry that successfully explains neutrino masses, mixing angles including non-zero $ heta_{13}$, and predicts CP violation phases, aligning with current experimental data.

Contribution

It develops a novel 3-3-1 model incorporating $A_4$ symmetry with specific scalar content to naturally generate small neutrino masses and realistic mixing, including CP violation predictions.

Findings

Model fits current neutrino oscillation data.

Predicts specific CP violation phases at approximately 5.41° or 354.59°.

Achieves small neutrino masses with slight deviation from tri-bimaximal mixing.

Abstract

We propose a 3-3-1 model with neutral fermions based on $A_4$ flavor symmetry responsible for fermion masses and mixings with non-zero $\theta_{13}$. To get realistic neutrino mixing, we just add a new $SU(3)_L$ triplet being in $\underline{3}$ under $A_4$. The neutrinos get small masses from two $SU(3)_L$ antisextets and one $SU(3)_L$ triplet. The model can fit the present data on neutrino masses and mixing as well as the effective mass governing neutrinoless double beta decay. Our results show that the neutrino masses are naturally small and a little deviation from the tri-bimaximal neutrino mixing form can be realized. The Dirac CP violation phase $\delta$ is predicted to either $5.41^{\circ}$ or $354.59^{\circ}$ with $\theta_{23} \neq \frac{\pi}{4}$.