Abstract
Nonzero and relatively large of θ13 mixing angle has some phenomenological consequences on neutrino physics beyond the standard model. One of the consequences if the mixing angle θ13 ≠ 0 is the possibility of the CP violation on the neutrino sector. In order to obtain nonzero θ13 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 θ12 and θ23 as input, we can determine the Dirac phase δ as function of mixing angle θ13.
Highlights
There are two unsolved major problems related to neutrino physics i.e. underlying symmetry of neutrino mass matrix and neutrino mixing matrix when confronted to the experimental results
The paper is organized as follow: in section 2 we break the neutrino mass matrix with μ − τ symmetry by introducing one complex parameter into neutrino mass matrix and in section 3 we determine the mixing angle θ13 and JCP by using the experimental results as input
We are in position to study the effect of neutrino mass matrix that obey the μ − τ symmetry breaking in relation to the nonzero θ13 and Jarlskog rephasing invariant JCP by breaking the neutrino mass matrix in Eq (4)
Summary
There are two unsolved major problems related to neutrino physics i.e. underlying symmetry of neutrino mass matrix and neutrino mixing matrix when confronted to the experimental results. In order to accommodate the nonzero θ13 and Jarlskog rephasing invariant JCP as a measure of CP violation in neutrino sector, in this paper we break the μ − τ symmetry sofly by introducing one complex parameter to break the neutrino mass matrix with μ − τ symmetry softly. The paper is organized as follow: in section 2 we break the neutrino mass matrix with μ − τ symmetry by introducing one complex parameter into neutrino mass matrix and in section 3 we determine the mixing angle θ13 and JCP by using the experimental results as input. We are in position to study the effect of neutrino mass matrix that obey the μ − τ symmetry breaking in relation to the nonzero θ13 and Jarlskog rephasing invariant JCP by breaking the neutrino mass matrix in Eq (4).
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