Properties of the generalN-Higgs-doublet model. I. The orbit space

2010/04/11 by Igor Ivanov, I. P. Ivanov, C. C. Nishi · 55 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Engineering #Gauge (firearms) #Geometry #Higgs boson #Higgs sector #Materials science #Mathematics #Orbit (dynamics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Scalar (mathematics) #Space (punctuation) #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.82.015014

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(1) (American Physical Society) · 27 pages, 2 figures

arxiv created 2010/04/11 · openalex publication_date 2010/07/30 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 the N-Higgs-doublet model and quantum information theory.

Citations

• Errata for "The Higgs Hunter's Guide"
• Minkowski space structure of the Higgs potential in the two-Higgs-doublet model
• Allowed and observable phases in two-Higgs-doublet Standard Models
• Phenomenology of the Basis-Independent CP-Violating Two-Higgs Doublet Model [Dissertation]
• Discrete and continuous symmetries in multi-Higgs-doublet models
• Two-Higgs-doublet model from the group-theoretic perspective
• General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
• CPviolation conditions inN-Higgs-doublet potentials
• Stability and symmetry breaking in the general two-Higgs-doublet model
• Geometric Quantum Mechanics

Cited by

• Abelian symmetries in multi-Higgs-doublet models