Comparative Analysis of CP Violation in the Exponential and Standard Parametrizations of the Neutrino Mixing Matrix

Abstract

A comparative analysis of neutrino mixing in the standard, cobimaximal, tribimaximal, and exponential parametrizations is performed. The logarithm of the mixing matrix and exact values for the entries of the exponential neutrino mixing matrix, which permits factorizing in it terms responsible for pure rotation and CP violation, are found with allowance for the most recent experimental data on neutrino mixing. The hypothesis of complementarity of quark and neutrino mixing is confirmed. The dependence of CP violation on the parameters of the mixing matrix in various parametrizations is studied with the aid of the Jarlskog invariant, and underlying relations between these parameters are also revealed. The representation of the mixing matrix in the exponential parametrization as an SU(3) matrix element by employing the parameters φ and θ and their dependence on the amount of CP violation is considered.