Dependence of solar mixing angle on CP violating phase δ under deviation from tri-bimaximal mixing

Abstract

We deviate tri-bimaximal neutrino mixing with the help of charged lepton mixing matrix UlL which has a structure similar to that of Cabibbo–Kobayashi–Maskawa (CKM) matrix. To enter CP violating phase δ into rotation matrix, we follow a novel method discussed by Fritzsch and Xing which is different from the standard particle data group one. Under such charged lepton correction ansatz we note that \(\tan^2 \theta_{12}\) becomes dependent on δ, from where constraints on δ phase can be obtained after employing experimental range of mixing angles. To compute numerical values of mixing angles we employ Wolfenstein parameterization of CKM matrix. We discuss implication of dependence of the physical observable parameters of neutrino oscillation on the choice of type of parameterization of the matrix.