Neutrino Mass Sum-rule and Neutrinoless Double Beta Decay

TL;DR

This paper reviews neutrino mass sum-rules and explores their implications for neutrino mass and neutrinoless double beta decay, analyzing effective Majorana mass predictions for different hierarchies.

Contribution

It provides a comprehensive review of neutrino mass sum-rules and their phenomenological implications, including detailed plots of effective Majorana mass for various mass hierarchies.

Findings

Effective Majorana mass varies with the lightest neutrino mass.

Predictions differ between normal and inverted hierarchies.

Sum-rules constrain neutrino mass models.

Abstract

Neutrino mass sum-rule is a very important research subject from theoretical side because neutrino oscillation experiment only gave us two squared-mass differences and three mixing angles. We review neutrino mass sum-rule in literature that have been reported by many authors and discuss its phenomenological implications especially on neutrino mass and neutrinoless double beta decay by plotting effective Majorana mass $\left<m_{ee}\right>$ as function of the lightest neutrino mass both for normal and inverted hierarchy by using the central values of reported mixing angles and reported squared-mass differences as input