On the Potential of Leptonic Minimal Flavour Violation

TL;DR

This paper investigates the scalar potential in a minimal lepton flavor violation model with Majorana neutrinos, revealing how the potential's minima influence neutrino mixing angles and phases, and highlighting correlations between mass hierarchy and mixing.

Contribution

It derives the scalar potential for Yukawa fields in a minimal See-Saw model with two right-handed neutrinos, analyzing its minima and implications for neutrino mixing and phases.

Findings

Large mixing angles are possible at the potential's minimum.

The model predicts a maximal Majorana phase.

There is a strong correlation between neutrino mass hierarchy and mixing pattern.

Abstract

Minimal Flavour Violation can be realized in several ways in the lepton sector due to the possibility of Majorana neutrino mass terms. We derive the scalar potential for the fields whose background values are the Yukawa couplings, for the simplest See-Saw model with just two right-handed neutrinos, and explore its minima. The Majorana character plays a distinctive role: the minimum of the potential allows for large mixing angles -in contrast to the simplest quark case- and predicts a maximal Majorana phase. This points in turn to a strong correlation between neutrino mass hierarchy and mixing pattern.