Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential

TL;DR

This paper explores an extension of the Standard Model with an A4 flavor symmetry and three Higgs doublets, analyzing the scalar potential, spectrum, and phenomenological implications in a model-independent manner.

Contribution

It provides a comprehensive, model-independent analysis of the scalar potential and phenomenology of an A4-flavored multi-Higgs extension of the Standard Model.

Findings

Discriminates between different minima of the scalar potential.

Analyzes the impact on oblique corrections and flavor violation.

Identifies phenomenological signatures of the extended Higgs sector.

Abstract

We consider an extension of the Standard Model in which the symmetry is enlarged by a global flavour factor A4 and the scalar sector accounts for three copies of the Standard Model Higgs, transforming as a triplet of A4. In this context, we study the most general scalar potential and its minima, performing for each of them a model independent analysis on the related phenomenology. We study the scalar spectrum, the new contributions to the oblique corrections, the decays of the Z and W, the new sources of flavour violation, which all are affected by the introduction of multiple Higgses transforming under A4. We find that this model independent approach discriminates the different minima allowed by the scalar potential.