  Nonzero of mixing angle $\theta_{13}$ has some phenomenological consequences
on neutrino physics beyond the standard model. If the mixing angle
$\theta_{13}\neq 0$, then there is the possibility of the CP violation
existence on the neutrino sector. To obtain a nonzero of mixing angle
$\theta_{13}$ from neutrino mass matrix obey $\mu-\tau$, 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.
