Stability of the normal vacuum in multi-Higgs-doublet models

Abstract

We show that the vacuum structure of a generic multi-Higgs-doublet model shares several important features with the vacuum structure of the two and three Higgs-doublet model. In particular, one can still define the usual charge breaking, spontaneous CP breaking and normal (charge and CP preserving) stationary points. We analyse the possibility of charge or spontaneous CP breaking, by studying the relative depth of the potential in each of the possible stationary points.

21 pages

Cited by in corpus (21)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Evolution of Universe to the present inert phase
• Symmetry breaking patterns in 3HDM
• Neutral minima in two-Higgs doublet models
• Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models
• Structure of potentials with $N$ Higgs doublets
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Properties of the general NHDM. I. The orbit space
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Gravitational Lensing Analyzed by Graded Refractive Index of Vacuum
• Properties of the general NHDM. II. Higgs potential and its symmetries
• Stability and symmetry breaking in the general three-Higgs-doublet model
• Symmetry and Mass Degeneration in Multi-Higgs-Doublet Models
• Symmetries of symmetries and geometrical CP violation
• Different vacua in 2HDM
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• A Simple Optical Analysis of Gravitational Lensing
• CP and other Symmetries of Symmetries
• Temperature evolution of physical parameters in the Inert Doublet Model
• Phenomenological aspects from vacuum stability and metastability in models with soft breaking of a \texorpdfstring{$U\left(1\right)$}{lg} global symmetry
• Spontaneous CP breaking in $S_3$ flavored Higgs sector with soft-breaking terms