Correlations and textures in the neutrino mass matrix

TL;DR

This paper analyzes the allowed ranges and correlations of elements in the neutrino mass matrix, aiding in texture identification and model building in the lepton sector based on recent oscillation data.

Contribution

It provides a detailed analysis of neutrino mass matrix textures and their correlations, introducing two simple textures that fit current experimental data well.

Findings

Identified allowed ranges for neutrino mass matrix elements

Studied correlations among matrix elements

Presented two minimal textures fitting data

Abstract

The recent enormous improvement of our knowledge of the neutrino oscillation parameters has motivated us to reinvestigate the allowed ranges of the elements of the neutrino mass matrix in the basis where the charged-lepton mass mass matrix is diagonal. Moreover, we have studied the correlations of the elements of the neutrino mass matrix. The result of this analysis is useful for finding textures in the neutrino mass matrix and, therefore, for model building in the lepton sector. As an example, we present two textures of the neutrino mass matrix which have only two parameters and fit very well all current experimental data on the neutrino parameters.