Leptonic Dynamical Yukawa Couplings

TL;DR

This paper explores a dynamical model for Yukawa couplings, highlighting how neutrino Majorana properties and specific flavor symmetries influence neutrino mixing angles and phases, with implications for neutrino mass hierarchy.

Contribution

It introduces a model where an $O(2)_{N_R}$ symmetry affects the scalar potential, predicting large neutrino mixing angles and a maximal Majorana phase, linking flavor symmetry to neutrino phenomenology.

Findings

Large mixing angles are compatible with the $O(2)_{N_R}$ symmetry.

The model predicts a maximal Majorana phase.

Three heavy right-handed neutrinos are implied.

Abstract

A dynamical origin of the Yukawa couplings is a promising scenario to explain the flavour puzzle. The focus of this letter is set on the role of the neutrino Majorana character: when an $O(2)_{N_R}$ flavour symmetry acts on the right-handed neutrino sector, the minimum of the scalar potential allows for large mixing angles -in contrast to the simplest quark case- and predicts a maximal Majorana phase. This leads to a strong correlation between neutrino mass hierarchy and mixing pattern. Realistic solutions point to the existence of three heavy right-handed neutrinos.