Lepton mixing and the charged-lepton mass ratios

TL;DR

This paper develops models linking lepton mixing to charged-lepton mass ratios, predicting near-maximal CP violation and neutrinoless double-beta decay, with detailed analysis of scalar potential constraints.

Contribution

It introduces a class of renormalizable models that connect lepton mixing parameters directly to charged-lepton mass ratios, providing new predictive frameworks.

Findings

Predictions of almost maximal CP-violating phases.

Predictions of almost maximal neutrinoless double-beta decay.

Analysis of scalar potential bounds and unitarity constraints.

Abstract

We construct a class of renormalizable models for lepton mixing that generate predictions given in terms of the charged-lepton mass ratios. We show that one of those models leads, when one takes into account the known experimental values, to almost maximal CP-breaking phases and to almost maximal neutrinoless double-beta decay. We study in detail the scalar potential of the models, especially the bounds imposed by unitarity on the values of the quartic couplings.