Electroweak gauge invariant Higgs multiplets

TL;DR

This paper explores the theoretical framework of general Higgs multiplets, focusing on their potential, symmetry properties, and CP transformations within the context of the adjoint representation.

Contribution

It constructs the most general Higgs potential for arbitrary multiplets using tensor product representations and analyzes their symmetry transformations.

Findings

Established the domain of general Higgs multiplets in the adjoint representation

Constructed the general potential for arbitrary multiplets

Analyzed symmetry and CP transformation properties of Higgs multiplets

Abstract

We investigate the potential of general Higgs multiplets. We establish the domain of general Higgs multiplets within the context of the adjoint representation. The construction of the most general potential for arbitrary multiplets is achieved using the irreducible, totally symmetric representation of tensor products of doublets. Furthermore, we explore symmetry transformations of the Higgs multiplets, with particular emphasis on CP symmetries.