Nonzero $\theta_{13}$ and CP Violation from Broken $\mu-\tau$ Symmetry

Abstract

Nonzero and relatively large of $\theta_{13}$ mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle $\theta_{13}\neq 0$ is the possibility of the CP violation on the neutrino sector. In order to obtain nonzero $\theta_{13}$ mixing angle, we break the neutrino mass matrix that obey $\mu-\tau$ symmetry by introducing a complex parameter and determine the Jarlskog invariant as a measure of CP violation existence. By using the experimental data as input, we determine the Dirac phase $\delta$ as function of mixing angle $\theta_{13}$