Prediction of Leptonic CP Phase in $A_4$ symmetric model

TL;DR

This paper explores minimal modifications to the tribimaximal mixing matrix within an $A_4$ flavor symmetry framework to predict the leptonic CP phase, aligning theoretical models with recent experimental data.

Contribution

It derives four minimal modification forms of the TBM matrix under $A_4$ symmetry and predicts the CP phase based on updated neutrino mixing angles.

Findings

Predicted CP phase values for all modification cases.

Predictions are consistent with recent experimental fits.

Identified possible forms of symmetry breaking in $A_4$ models.

Abstract

We consider minimal modifications to tribimaximal (TBM) mixing matrix which accommodate non-zero mixing angle $\theta_{13}$ and CP violation. We derive four possible forms for the minimal modifications to TBM mixing in a model with $A_4$ flavor symmetry by incorporating symmetry breaking terms appropriately. We show how possible values of the Dirac-type CP phase $\delta_D$ can be predicted with regards to two neutrino mixing angles in the standard parametrization of the neutrino mixing matrix. Carrying out numerical analysis based on the recent updated experimental results for neutrino mixing angles, we predict the values of the CP phase for all possible cases. We also confront our predictions of the CP phase with the updated fit.