Revised Criteria for Stability in the General Two-Higgs Doublet Model

TL;DR

This paper revises existing methods to determine the necessary and sufficient conditions for scalar potential stability in the general two-Higgs doublet model, providing a practical procedure to ensure the potential is bounded from below.

Contribution

It introduces an improved method for assessing stability conditions in the two-Higgs doublet model, aiding in the analysis of scalar potential minima.

Findings

Provides a revised procedure for stability analysis

Ensures the scalar potential is bounded from below

Facilitates the identification of global minima

Abstract

We will revise one of the methods given in the literature to determine the necessary and sufficient conditions that the parameters must satisfy to have a stable scalar potential in the general two-Higgs doublet model. We will give a procedure that facilitates finding the conditions for stability of a scalar potential. The stability guarantees that the scalar potential has a global minimum, that is, the potential is bounded from below, which is a necessary condition to implement the spontaneous gauge-symmetry breaking in the models.