Parametrizing the Lepton Mixing Matrix in terms of Charged Lepton Corrections

TL;DR

This paper introduces a new parametrization of the lepton mixing matrix that incorporates charged lepton corrections, effectively explaining deviations from maximal atmospheric mixing and small reactor angles, and simplifies CP violation analysis.

Contribution

It presents a novel parametrization reducing the number of complex phases and linking deviations in mixing angles to charged lepton sector corrections.

Findings

Can accommodate large reactor mixing angles consistent with T2K data

Simplifies the analysis of CP violation with a single phase difference

Provides explicit expressions for unitarity triangles and oscillation probabilities

Abstract

We consider a parametrization of the lepton mixing matrix in which the deviations from maximal atmospheric mixing and vanishing reactor mixing are obtained in terms of small corrections from the charged lepton sector. Relatively large deviations for the reactor mixing angle from zero as indicated by T2K experiment can be obtained in this parametrization. We are able to further reduce the number of complex phases, thus, simplifying the analysis. In addition, we have obtained the sides of unitarity triangles and the vacuum oscillation probabilities in this parametrization. The Jarlskog rephasing invariant measure of CP violation at the leading order has a single phase difference which can be identified as Dirac-type CP violating phase in this parametrization.