Correlations of the elements of the neutrino mass matrix

TL;DR

This paper examines the allowed ranges and correlations of neutrino mass matrix elements assuming Majorana neutrinos, incorporating recent measurements of the reactor mixing angle and analyzing sensitivity to oscillation parameter fits.

Contribution

It provides updated bounds and correlations of neutrino mass matrix elements considering recent experimental data and explores their dependence on global fit results.

Findings

Derived bounds on neutrino mass matrix elements.

Identified correlations among matrix elements.

Analyzed sensitivity to oscillation parameter uncertainties.

Abstract

Assuming Majorana nature of neutrinos, we re-investigate, in the light of the recent measurement of the reactor mixing angle, the allowed ranges for the absolute values of the elements of the neutrino mass matrix in the basis where the charged-lepton mass matrix is diagonal. Apart from the derivation of upper and lower bounds on the values of the matrix elements, we also study their correlations. Moreover, we analyse the sensitivity of bounds and correlations to the global fit results of the neutrino oscillation parameters which are available in the literature.