An analytical treatment of the neutrino masses and mixings

TL;DR

This paper derives analytical formulas linking neutrino masses and mixing parameters, including CP violation, under the assumption of a simplified charged lepton mixing matrix, providing insights into neutrino phenomenology.

Contribution

It introduces analytical expressions connecting neutrino properties with mass matrix entries, highlighting conditions for CP violation presence.

Findings

Analytical formulas for neutrino masses and mixings.

Conditions for CP violation in neutrino sector.

Simplified relation assuming unit charged lepton mixing matrix.

Abstract

We obtain analytical formulas which connect the neutrino masses and the leptonic mixing matrix with the entries in the mass matrix for the approximation in which the charged lepton mixing matrix is the unit matrix. We also extract the CP violation phase and determine the conditions in which this is present.