Neutrino Mixing Phenomenology: $A_4$ Discrete Flavor Symmetry with Type-I Seesaw Mechanism

Abstract

We study a neutrino mass model with $A_4$ flavor symmetry using a type-I seesaw mechanism. The inclusion of extra flavons in our model leads to the deviations from exact tribimaximal mixing pattern resulting in a nonzero $\theta_{13}$ consistent with the recent experimental results and a sum rule for light neutrino masses is also obtained. In this framework, a connection is established among the mixing angles ($\theta_{13}$, $\theta_{12}$, $\theta_{13}$) and the Dirac CP-violation phase $\delta_{CP}$. This model also allows us a prediction of Jarlskog parameter $J_{CP}$ and the octant of the mixing angle $\theta_{23}$. We use the parameter space of our model of neutrino masses to study the neutrinoless double beta decay parameter $m_{ee}$.Comment: 15 pages, 3 Figures, 2 Table