Nonzero ${\theta }_{13}$ and CP violation from Broken $\mu -\tau$ Symmetry with $m_1=0$

Abstract

Nonzero of mixing angle ${\theta }_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle ${\theta }_{13}\ne 0$, 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.

6 pages, no figure, title changed, Talk given at XXX-th International Workshop on High Energy Physics "Particle and Astroparticle Physics, Gravitation and Cosmology: Predictions, Observations and New Projects", Protvino, Russia, 23-27 June 2014