In this paper, we consider a neutrino mass model based on $A_4$ symmetry. The spontaneous symmetry breaking in this model is chosen to obtain tribimaximal mixing in the neutrino sector. We introduce $Z_2 \times Z_2$ invariant perturbations in this model which can give rise to acceptable values of $\theta_{ 13}$ and $\delta_{ CP}$. Perturbation in the charged lepton sector alone can lead to viable values of $\theta_{ 13}$, but cannot generate $\delta_{ CP}$. Perturbation in the neutrino sector alone can lead to acceptable $\theta_{ 13}$ and maximal CP violation. By adjusting the magnitudes of perturbations in both sectors, it is possible to obtain any value of $\delta_{ CP}$.
Categories: hep-ph