Discrete and continuous symmetries in multi-Higgs-doublet models

TL;DR

This paper investigates symmetries in multi-Higgs-doublet models, constructing basis-invariant observables to detect these symmetries and categorizing them for models with two and three doublets.

Contribution

It introduces a systematic method to identify and classify symmetries in multi-Higgs-doublet models using basis-invariant observables, extending to any number of doublets.

Findings

Constructed basis-invariant observables for symmetry detection

Categorized symmetries for two and three Higgs doublets

Provided a framework applicable to models with arbitrary doublets

Abstract

We consider the Higgs sector of multi-Higgs-doublet models in the presence of simple symmetries relating the various fields. We construct basis invariant observables which may in principle be used to detect these symmetries for any number of doublets. A categorization of the symmetries into classes is required, which we perform in detail for the case of two and three Higgs doublets.