Sum Rules for Leptons

TL;DR

This paper discusses models where flavor arises from spontaneous symmetry breaking, leading to sum rules linking neutrino mixing angles, CP phases, and masses, with considerations of renormalization effects.

Contribution

It provides an overview of how sum rules emerge in flavor models and examines the impact of renormalization group corrections on these relations.

Findings

Sum rules relate mixing angles and CP phases.

Sum rules connect neutrino masses and Majorana phases.

Renormalization group corrections can modify these sum rules.

Abstract

There is a wide class of models which give a dynamical description of the origin of flavour in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalisation group corrections to the mass sum rules.