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 $SU(3{)}_c\times SU(3{)}_L\times U(1{)}_X$ 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.

arXiv comment8 pages (two columns), accepted for publication in Physics Letters B

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Cited by in corpus (12)

• On the Higgs spectra of the 3-3-1 model
• Muon Anomalous Magnetic Moment and Higgs Potential Stability in the 331 Model from $SU(6)$
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• On the viability of a light scalar spectrum for 3-3-1 models
• Flavor-changing axions and Dirac neutrino masses
• Is our vacuum global in a 331 model with three triplets?
• Theoretical constraints on scalar parameters in the compact 341 model
• Vector-like quarks decaying into singly and doubly charged bosons at LHC
• Generalized 331 models
• Vacuum Stability Conditions for New $SU(2)$ Multiplets
• LFV decays in a 3-4-1 model with minimal inverse seesaw neutrinos
• Boundedness from below of SU(n) potentials