Theoretical constraints on the Higgs potential of the general 331 model

Abstract

This article reviews the theoretical constraints on the scalar potential of a general extension of the Standard Model that encompasses a SU(3)c×SU(3)L×U(1)X gauge symmetry. In this respect, the boundedness-from-below is analysed to identify the correct criteria for obtaining the physical minima of the Higgs parameter space. Furthermore, perturbativity and unitarity bounds are discussed in light of the exact diagonalisation of the scalar fields. This study represents a framework for fast numerical checks on specific 331 Model benchmarks that are relevant for future collider searches.

Keywords

• BSM model
• Multi-Higgs potential
• Perturbative unitarity
• Boundedness from below
• Perturbativity