Renormalisation Group Corrections to Neutrino Mass Sum Rules

TL;DR

This paper investigates how radiative corrections affect neutrino mass sum rules, confirming that their qualitative predictions remain stable, thereby strengthening the reliability of neutrino flavor model predictions.

Contribution

It provides a comprehensive analysis of radiative corrections to neutrino mass sum rules across multiple models, demonstrating their limited impact on qualitative predictions.

Findings

Radiative corrections can cause visible effects but do not alter qualitative features.

The stability of sum rule predictions is confirmed under renormalisation group running.

Results support the robustness of existing neutrino flavor model predictions.

Abstract

Neutrino mass sum rules are an important class of predictions in flavour models relating the Majorana phases to the neutrino masses. This leads, for instance, to enormous restrictions on the effective mass as probed in experiments on neutrinoless double beta decay. While up to now these sum rules have in practically all cases been taken to hold exactly, we will go here beyond that. After a discussion of the types of corrections that could possibly appear and elucidating on the theory behind neutrino mass sum rules, we estimate and explicitly compute the impact of radiative corrections, as these appear in general and thus hold for whole groups of models. We discuss all neutrino mass sum rules currently present in the literature, which together have realisations in more than 50 explicit neutrino flavour models. We find that, while the effect of the renormalisation group running can be visible, the qualitative features do not change. This finding strongly backs up the solidity of the predictions derived in the literature, and it thus marks a very important step in deriving testable and reliable predictions from neutrino flavour models.