Yukawa sector of Multi Higgs Doublet Models in the presence of Abelian symmetries

TL;DR

This paper introduces a systematic method for classifying quark flavor models in multi-Higgs-doublet models with Abelian symmetries, analyzing textures and symmetry implementations to understand flavor-changing neutral currents.

Contribution

It provides a comprehensive classification framework for quark models with Abelian symmetries in multi-Higgs-doublet models, including detailed analysis of specific models and their flavor-changing implications.

Findings

Classified possible textures in multi-Higgs-doublet models with Abelian symmetries.

Analyzed symmetry implementations for two and three Higgs doublet models.

Discussed flavor-changing neutral currents in these models.

Abstract

A general method for classifying the possible quark models of a multi-Higgs-doublet model, in the presence of Abelian symmetries, is presented. All the possible sets of textures that can be present in a given sector are shown, thus turning the determination of the flavor models into a combinatorial problem. Several symmetry implementations are studied for two and three Higgs doublet models. Some models implementations are explored in great detail, with a particular emphasis on models known as Branco-Grimus-Lavoura and nearest-neighbour-nnteraction. Several considerations on the flavor changing neutral currents of multi-Higgs models are also given.