NONZERO θ₁₃ AND CP VIOLATION FROM BROKEN μ – τ SYMMETRY WITH m₁ = 0

Abstract

Nonzero and relatively large of θ 13 mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle θ 13 = 0 is the possibility of the CP violation on the neutrino sector. In order to obtain nonzero θ 13 mixing angle, we break the neutrino mass matrix that obey µ− τ 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 δ as function of mixing angle θ 13 .