Properties of the general NHDM. I. The orbit space

Abstract

We study the scalar sector of the general N-Higgs-doublet model via geometric constructions in the space of gauge orbits. We give a detailed description of the shape of the orbit space both for general N and, in more detail, for N=3. We also comment on remarkable analogies between NHDM and quantum information theory.

27 pages, 2 figures

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Cited by in corpus (23)

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• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Properties of the general NHDM. II. Higgs potential and its symmetries
• Stability and symmetry breaking in the general three-Higgs-doublet model
• Recognizing symmetries in 3HDM in basis-independent way
• Symmetries of symmetries and geometrical CP violation
• 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
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Beyond basis invariants
• Vacuum structure of the ${\mathbb{Z}}_2$ symmetric Georgi-Machacek model
• Complementary Probes of Two-component Dark Matter
• Frustrated symmetries in multi-Higgs-doublet models
• CP and other Symmetries of Symmetries
• $U(1)$-charged Dark Matter in three-Higgs-doublet models
• Higgs-portal dark matter from non-supersymmetric strings
• One-loop considerations for coexisting vacua in the CP conserving 2HDM
• Systematic analysis of 3HDM symmetries
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Vacuum Stability Conditions for New $SU(2)$ Multiplets
• The Hilbert Series and the Flavor Invariants of the 3HDM
• Vacuum Stability Conditions and Potential Minima for a Matrix Representation in Lightcone Orbit Space