Leptonic CP violation and Wolfenstein parametrization for lepton mixing

We investigate a general structure of lepton mixing matrix resulting from the SUF(3)SUF(3) gauge family model with an appropriate vacuum structure of SUF(3)SUF(3) symmetry breaking. It is shown that the lepton mixing matrix can be parametrized by using the Wolfenstein parametrization method to characterize its deviation from the tri-bimaximal mixing. A general analysis for the allowed leptonic CP-violating phase δeδe and the leptonic Wolfenstein parameters λeλe, AeAe, ρeρe is carried out based on the observed lepton mixing angles. We demonstrate how the leptonic CP violation correlates to the leptonic Wolfenstein parameters. It is found that the phase δeδe is strongly constrained and only a large or nearly maximal leptonic CP-violating phase |δe|≃3π/4∼π/2|δe|≃3π/4∼π/2 is favorable when λe>0.15λe>0.15. In particular, when taking λeλe to be the Cabibbo angle λe≃λ≃0.225λe≃λ≃0.225, a sensible result for leptonic Wolfenstein parameters and CP violation is obtained with Ae=1.40Ae=1.40, ρe=0.20ρe=0.20, δe∼101.76°δe∼101.76°, which is compatible with the one in quark sector. An interesting correlation between leptons and quarks is observed, which indicates a possible common origin of masses and mixing for the charged leptons and quarks.