Stability and symmetry breaking in the general three-Higgs-doublet model

Abstract

Stability, electroweak symmetry breaking, and the stationarity equations of the general three-Higgs-doublet model (3HDM) where all doublets carry the same hypercharge are discussed in detail. Employing the bilinear formalism the study of the 3HDM potential turns out to be straightforward. For the case that the potential leads to the physically relevant electroweak symmetry breaking we present explicit formulae for the masses of the physical Higgs bosons.

arXiv comment21 pages. Revised version with errors corrected with respect to the stability and stationarity equations for the case of the bilinear's matrix of rank 1. Ensueing errors in Chapter 7 and appendix B are also corrected

References in corpus (20)

• Theory and phenomenology of two-Higgs-doublet models
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• CP violation conditions in N-Higgs-doublet potentials
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
• A_4 model for the quark mass matrices
• Stability of the normal vacuum in multi-Higgs-doublet models
• Note on Custodial Symmetry in the Two-Higgs-Doublet Model
• Properties of the general NHDM. I. The orbit space
• Properties of the general NHDM. II. Higgs potential and its symmetries
• Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM
• Three generations of Higgses and the cyclic groups
• Stability and symmetry breaking in the general n-Higgs-doublet model
• Symbiotic Symmetries of the Two-Higgs-Doublet Model
• A light pseudoscalar in a model with lepton family symmetry O(2)
• Higgs decay into two photons from a 3HDM with flavor symmetry

Cited by in corpus (26)

• Building and testing models with extended Higgs sectors
• Vacuum Stability of a General Scalar Potential of a Few Fields
• Symmetry breaking patterns in 3HDM
• Light charged Higgs boson scenario in 3-Higgs doublet models
• Systematic construction of basis invariants in the 2HDM
• Constraints on Parameter Space from Perturbative Unitarity in Models with Three Scalar Doublets
• Spontaneous symmetry breaking in the $S_3$-symmetric scalar sector
• Recognizing symmetries in 3HDM in basis-independent way
• Light charged Higgs boson with dominant decay to quarks and its search at LHC and future colliders
• Alignment limit in three Higgs-doublet models
• Effects of Two Inert Scalar Doublets on Higgs Interactions and Electroweak Phase Transition
• Unitarity bounds for all symmetry-constrained 3HDMs
• Stability and symmetry breaking in the general n-Higgs-doublet model
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Basis-invariant conditions for CP symmetry of order 4
• Light charged Higgs boson with dominant decay to a charm quark and a bottom quark and its search at LEP2 and future $e^{+}{e}^{-}$ colliders
• 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
• Stability and symmetry breaking in a three Higgs-boson doublet model with lepton family symmetry O(2)xZ2
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• On the systematic construction of basis invariants
• Systematic analysis of 3HDM symmetries
• A Scotogenic Model as a Prototype for Leptogenesis with One Single Gauge Singlet
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Generalised P and CP transformations in the 3-Higgs-doublet model
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry