Mu-Tau Reflection Symmetry in the Standard Parametrization and Contributions from Charged Lepton Sector

Chandan Duarah

Published 2020-06-02Version 1

The $\mu-\tau$ reflection symmetry of the lepton mixing matrix accommodates maximal atmospheric mixing ($\theta_{23}=\pi/4$) as well as maximal Dirac CP phase ($\delta=\pm \pi/2$) for the Dirac case. In the standard parametrization of the PMNS matrix the reflection symmetric nature is not directly visible while substituting the maximal values of the mixing parameters. This issue has been addressed in this paper. It is found that the reflection symmetry in the 'standard' PMNS matrix can be restored by allowing maximal values of the Majorana CP phases ($\alpha$, $\beta$) as well, along with maximal $\delta$. With the proposed scheme, the reflection symmetry is realized in the neutrino mixing matrix and the perturbation from charged lepton sector is studied. CKM like contributions are found to be consistent with current oscillation data.