Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges

TL;DR

This paper analyzes the stability and symmetry breaking in a class of 3-3-1 models with three Higgs triplets, focusing on potentials without cubic terms due to a discrete symmetry, confirming their internal consistency.

Contribution

It introduces an improved method to study scalar potentials in 3-3-1 models without exotic charges, demonstrating their theoretical consistency.

Findings

Scalar potential stability criteria established

Electroweak symmetry breaking pattern clarified

Models shown to be consistent without exotic charges

Abstract

A detailed study of the criteria for stability of the scalar potential, and the proper electroweak symmetry breaking pattern in some 3-3-1 models without exotic electric charges is presented. In this paper we concentrate in a scalar sector with three Higgs scalar triplets, with a potential that does not include the cubic term, due to the presence of a discrete symmetry. For the analysis we use, and improve, a method previously developed to study the scalar potential in the two-Higgs-doublet extension of the standard model. Our main result is to show the consistency of those 3-3-1 models without exotic electric charges.