Neutrino mass matrix in triplet Higgs models with $A_4$ symmetry

TL;DR

This paper explores a triplet Higgs model with $A_4$ symmetry to naturally produce the tribimaximal neutrino mixing pattern, analyzing implications for neutrino masses, mixing angles, and neutrinoless double beta decay.

Contribution

It demonstrates how $A_4$ symmetry in triplet Higgs models can naturally generate tribimaximal mixing and accommodate recent neutrino oscillation data with specific predictions.

Findings

Normal and inverted hierarchies are allowed.

Lower bounds on lightest neutrino mass and neutrinoless double beta decay effective mass.

Non-zero $ heta_{13}$ can be achieved with small perturbations.

Abstract

We consider triplet Higgs model with $A_4$ symmetry to generate the neutrino mass matrix. The tribimaximal form of the neutrino mixing matrix can be naturally obtained. Imposing the neutrino oscillation data, we show that 1) both normal and inverted mass hierarchy are allowed, 2) there is a lower bound on the lightest neutrino mass and the effective mass for neutrinoless double beta decay, 3) the non-vanishing $\th_{13}$ can be accommodated by considering small perturbation, 4) $\th_{\rm atm}$ should be very close to $\pi/4$ even after perturbation. }