Discrete and continuous symmetries in multi-Higgs-doublet models

Abstract

We consider the Higgs sector of multi-Higgs-doublet models in the presence of simple symmetries relating the various fields. We construct basis invariant observables which may in principle be used to detect these symmetries for any number of doublets. A categorization of the symmetries into classes is required, which we perform in detail for the case of two and three Higgs doublets.

13 pages, RevTex, references added

References in corpus (5)

• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
• CP violation conditions in N-Higgs-doublet potentials
• Structure of potentials with $N$ Higgs doublets
• Physical parameters and basis transformations in the Two-Higgs-Doublet model

Cited by in corpus (40)

• Theory and phenomenology of two-Higgs-doublet models
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Symmetry breaking patterns in 3HDM
• Bounds on scalar masses in two Higgs doublet models
• Discrete symmetries in the three-Higgs-doublet model
• Abelian symmetries in multi-Higgs-doublet models
• Abelian symmetries in multi-Higgs-doublet models
• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Properties of the general NHDM. I. The orbit space
• Z_p scalar dark matter from multi-Higgs-doublet models
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Properties of the general NHDM. II. Higgs potential and its symmetries
• CP4 miracle: shaping Yukawa sector with CP symmetry of order four
• Recognizing symmetries in 3HDM in basis-independent way
• Alignment limit in three Higgs-doublet models
• Unitarity bounds for all symmetry-constrained 3HDMs
• Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
• Basis-invariant conditions for CP symmetry of order 4
• The landscape of promising non-supersymmetric string models
• Nondecoupling in Multi-Higgs doublet models
• Stability of neutral minima against charge breaking in the Higgs triplet model
• Frustrated symmetries in multi-Higgs-doublet models
• The invariant space of multi-Higgs doublet models
• Basis invariant conditions for supersymmetry in the two-Higgs-doublet model
• $U(1)$-charged Dark Matter in three-Higgs-doublet models
• A fully basis invariant Symmetry Map of the 2HDM
• Systematic analysis of 3HDM symmetries
• Type-I thermal leptogenesis in $Z_3$-symmetric three Higgs doublet model
• On the terms violating the custodial symmetry in multi-Higgs-doublet models
• Loop induced $h\to \gamma \gamma ,Z\gamma ,gg$ decays in 3-Higgs doublet models
• Symmetries from outer automorphisms and unorthodox group extensions
• Unearthing large pseudoscalar Yukawa couplings with Machine Learning
• A lepton model with nearly Cobimaximal mixing
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry
• Vacuum Stability in two-Higgs doublet models
• The Hilbert Series and the Flavor Invariants of the 3HDM
• Spontaneous CP breaking in $S_3$ flavored Higgs sector with soft-breaking terms