Ultraviolet Completion of Flavour Models

TL;DR

This paper explores how ultraviolet completions of flavour models can enhance their predictivity and discusses their phenomenological implications, including lepton flavour violation, through explicit minimal completions of A4 models.

Contribution

It provides explicit minimal ultraviolet completions for known A4 flavour models, illustrating their impact on phenomenology and predictivity.

Findings

Ultraviolet completions improve model predictivity.

Messenger fields induce lepton flavour violation.

Explicit models demonstrate phenomenological consequences.

Abstract

Effective Flavour Models do not address questions related to the nature of the fundamental renormalisable theory at high energies. We study the ultraviolet completion of Flavour Models, which in general has the advantage of improving the predictivity of the effective models. In order to illustrate the important features we provide minimal completions for two known A4 models. We discuss the phenomenological implications of the explicit completions, such as lepton flavour violating contributions that arise through the exchange of messenger fields.