Exact Parametrization of Majorana Neutrino Mass Matrix with Large Mixing

TL;DR

This paper presents an exact parametrization of Majorana neutrino mass matrices that captures observed mixing patterns, simplifying the relation between parameters and physical quantities, and validates assumptions with experimental data.

Contribution

It introduces a novel exact parametrization of lepton mass matrices that accounts for small and large neutrino mixing angles, linking parameters directly to physical observables.

Findings

Derived relations between parameters and physical quantities.

Validated assumptions using experimental neutrino data.

Provided a simplified framework for Majorana neutrino mass matrices.

Abstract

Under the assumption that the neutrinos are Majorana particles we study how the lepton mass matrices can be transformed into the simple form which has the same physical quantities by removing redundant parameters. We propose the exact parametrization of the lepton mass matrices which reflects the small nu_e-nu_mu mixing and the large nu_mu-nu_tau mixing. The relations between the twelve parameters and the physical quantities are shown. Furthermore we calculate the MNS matrix by applying the assumptions used in the quark sector. Finally we also check the validity of these assumptions from the experimental values.