Dual models of the neutrino mass spectrum

TL;DR

This paper explores how different homogeneous relationships in the neutrino mass matrix influence predictions for oscillation parameters and phases, revealing similarities across hierarchies except at very low lightest masses.

Contribution

It introduces a dual modeling approach linking mass matrix relationships with opposite hierarchies, highlighting their predictive similarities and differences at low masses.

Findings

Models with similar homogeneous relationships predict comparable oscillation parameters.

Predictions diverge when the lightest neutrino mass is around 20 meV or less.

The approach provides insights into neutrino mass hierarchy effects.

Abstract

We show that any model with a homogeneous relationship among elements of the neutrino mass matrix with one mass hierarchy yields predictions for the oscillation parameters and Majorana phases similar to those given by a model with the same homogeneous relationship among cofactors of the neutrino mass matrix with the opposite mass hierarchy, except when the lightest mass is of order 20 meV or less.