Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing

TL;DR

This paper develops a method to predict the leptonic CP phase in neutrino mixing by perturbatively modifying tribimaximal or bimaximal mixing matrices and analyzing current experimental data.

Contribution

It introduces a novel approach to estimate the CP phase using perturbative modifications of known mixing patterns and derives explicit expressions for the phase.

Findings

Predicted CP phase values for various cases based on experimental data.

Derived analytical expressions linking CP phase to modified mixing parameters.

Demonstrated the viability of the approach with numerical analysis.

Abstract

We consider the perturbatively modified tribimaximal (or bimaximal) mixing to estimate the (Dirac-type) CP phase in neutrino mixing matrix. The expressions for the CP phase are derived from the equivalence between the standard parametrization of the neutrino mixing matrix for the Majorana neutrino and modified tribimaximal or bimaximal mixing matrices with appropriate CP phases. Carrying out numerical analysis based on the current experimental results for neutrino mixing angles, we can predict the values of the CP phase for several possible cases.