Non-zero $θ_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_2^\prime$ Flavor Symmetry Model

Abstract

We study the modification of the Altarelli-Feruglio A 4 flavor symmetry model by adding three singlet flavons ξ , ξ and ρ and the model is augmented with extra Z 2 × Z 2 symmetry to prevent the unwanted terms in our study. The addition of these three flavons lead to two higher order corrections in the form of two perturbation parameters and . These corrections yield the deviation from exact tri-bimaximal (TBM) neutrino mixing pattern by producing a non-zero θ 13 and other neutrino oscillation parameters which are consistent with the latest experimental data.In both the corrections, the neutrino masses are generated via Weinberg operator. The analysis of the perturbation parameters and , shows that normal hierarchy (NH) and inverted hierarchy (IH) for does not change much. However, as the values of increases, θ 23 occupies the lower octant for NH case. We further investigate the neutrinoless double beta decay parmeter m ββ using the parameter space of the model for both normal and inverted hierarchies of neutrino masses.