Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model

TL;DR

This paper investigates the stability conditions of the scalar potential and the electroweak symmetry breaking in the economical 3-3-1 model, enhancing existing methods and establishing a new stability theorem.

Contribution

It introduces a new theorem on scalar potential stability and improves analysis methods for the economical 3-3-1 model's symmetry breaking.

Findings

Established criteria for scalar potential stability.

Confirmed the consistency of the economical 3-3-1 model.

Enhanced the methodological framework for analyzing symmetry breaking.

Abstract

A detailed study of the criteria for stability of the scalar potential and the proper electroweak symmetry breaking pattern in the economical 3-3-1 model, is presented. 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. A new theorem related to the stability of the potential is stated. As a consequence of this study, the consistency of the economical 3-3-1 model emerges.