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Non-Zero $θ_{13}$ and $δ_{CP}$ in a Neutrino Mass Model with $A_4$ Symmetry

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 $θ_{13}$ and $δ_{CP}$. Perturbation in the charged lepton sector alone can lead to viable values of $θ_{13}$, but cannot generate $δ_{CP}$. Perturbation in the neutrino sector alone can lead to acceptable $θ_{13}$ and maximal CP violation. By adjusting the magnitudes of perturbations in both sectors, it is possible to obtain any value of $δ_{CP}$.

preprint2015arXivOpen access

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