Properties of the general NHDM. II. Higgs potential and its symmetries

Abstract

We continue our analysis of the general N-Higgs-doublet model and focus of the Higgs potential description in the space of gauge orbits. We develop a geometric technique that allows us to study the global minimum of the potential without explicitly finding its position. We discuss symmetry patterns of the NHDM potential, and illustrate the general discussion with various specific variants of the three-Higgs-doublet model.

28 pages, 9 figures; v2: introduction rewritten, matches the published version

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Cited by in corpus (15)

• Symmetry breaking patterns in 3HDM
• Discrete symmetries in the three-Higgs-doublet model
• Properties of the general NHDM. I. The orbit space
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Stability and symmetry breaking in the general three-Higgs-doublet model
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Slight excess at 130 GeV in search for a charged Higgs boson decaying to a charm quark and a bottom quark at the Large Hadron Collider
• Frustrated symmetries in multi-Higgs-doublet models
• Higgs-portal dark matter from non-supersymmetric strings
• One-loop considerations for coexisting vacua in the CP conserving 2HDM
• Symmetries from outer automorphisms and unorthodox group extensions
• Vacuum Stability Conditions for New $SU(2)$ Multiplets