Neutrino Masses and Mixings from Continuous Symmetries

TL;DR

This paper reviews how continuous flavour symmetries can explain fermion mass hierarchies, neutrino mass ordering, and mixing differences, with a focus on the lepton sector.

Contribution

It provides an overview of implementing continuous symmetries in the flavour sector, highlighting their role in explaining lepton mass and mixing patterns.

Findings

Continuous symmetries help explain fermion mass hierarchies.

They provide insights into neutrino mass ordering.

They clarify differences between quark and lepton mixing matrices.

Abstract

Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find an explanation in models where the fermion generations undergo specific geometric relations. An overview on the implementation of continuous symmetries in the flavour sector is presented here, focussing on the lepton sector.