The mixing angle as a function of neutrino mass ratio

TL;DR

This paper explores how neutrino mixing angles relate to mass ratios, deriving minimal, hierarchy-dependent neutrino mass matrix textures to inform predictive models.

Contribution

It introduces five minimal, hierarchy-dependent neutrino mass matrix textures derived through a model-independent approach, constraining neutrino mass and mixing parametrizations.

Findings

Derived five hierarchy-dependent neutrino mass textures

Reduced parameter space to four or fewer parameters

Provided insights for predictive neutrino models

Abstract

In the quark sector, we experience a correlation between the mixing angles and the mass ratios. A partial realization of the similar tie-up in the neutrino sector helps to constrain the parametrization of masses and mixing, and hints for a predictive framework. We derive five hierarchy dependent textures of neutrino mass matrix with minimum number of parameters ($\leq\,4$), following a model-independent strategy.