Nonzero $θ_{13}$ and CP violation from Broken $μ-τ$ Symmetry with $m_{1}=0$

Nonzero of mixing angle $θ_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $θ_{13}\neq 0$, then there is the possibility of the CP violation existence on the neutrino sector. To obtain a nonzero of mixing angle $θ_{13}$ from neutrino mass matrix obey $μ-τ$, we break it by introducing one small parameter $x$ into neutrino mass matrix and then calculated the Jarlskog invariant as a measure of CP violation existence using the reported experimental data as input and put $m_{1}=0$ for neutrino mass in normal hierarchy.

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