Minimal structure for neutrino mass matrix

TL;DR

This paper proposes a minimal texture 2-zero complex symmetric neutrino mass matrix that fits current oscillation data and predicts unknown parameters, reducing complexity while maintaining accuracy.

Contribution

It introduces a new minimal neutrino mass matrix form with only one phase parameter, successfully accommodating data and making testable predictions.

Findings

Predicts the lightest neutrino mass for normal ordering

Provides estimates for CP violation phase $\,\,\,\,\,\,\,\,\,",

Abstract

Taking clue from the minimal structure of texture 4-zero hermitian mass matrices, which are very successful in accommodating quark mixing data, we propose a form of texture 2-zero complex symmetric neutrino mass matrix with only one phase parameter. This minimal mass matrix not only accommodates the available neutrino oscillation data, but also makes interesting predictions for the unknown parameters like the lightest neutrino mass $m_{\nu_1}$ (for normal ordering(NO)), Jarlskog's rephasing invariant $J_{CP}$, Dirac type CP violating phase $\delta_{CP}$ and effective neutrino mass $\left< m_{ee} \right>$. We also explore the correlations between the parameters of the model, that lead us to minimizing the parameters further.