Symmetries of the 2HDM: an invariant formulation and consequences

Abstract

Symmetries of the Two-Higgs-Doublet Model (2HDM) potential that can be extended to the whole Lagrangian, i.e. the CP-symmetries CP1, CP2, CP3 and the Higgs-family symmetries Z2, U(1) and SO(3) are discussed. Sufficient and necessary conditions in terms of constraints on masses and physical couplings for the potential to respect each of these symmetries are found. Each symmetry can be realized through several alternative cases, each case being a set of relations among physical parameters. We will show that some of those relations are invariant under the renormalization group, but others are not. The cases corresponding to each symmetry group are illustrated by analyzing the interplay between the potential and the vacuum expectation values.

arXiv comment58 pages, 7 figures. JHEP version. References added, clarifications and minor changes made

References in corpus (42)

• Theory and phenomenology of two-Higgs-doublet models
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• The Inert Doublet Model: an Archetype for Dark Matter
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• Observing the Dark Scalar Doublet and its Impact on the Standard-Model Higgs Boson at Colliders
• Jarlskog-like invariants for theories with scalars and fermions
• Minkowski space structure of the Higgs potential in 2HDM
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• Fundamental CP-violating quantities in a SU(2)$\otimes$U(1) model with many Higgs doublets
• Conditions for CP-Violation in the General Two-Higgs-Doublet Model
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Metastability bounds on the two Higgs doublet model
• Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation
• Vacuum Topology of the Two Higgs Doublet Model
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Symmetry breaking patterns in 3HDM
• Charge and CP symmetry breaking in two Higgs doublet models
• Neutral minima in two-Higgs doublet models
• Tree-level metastability bounds for the most general two Higgs doublet model
• Neutrino Masses and Absence of Flavor Changing Interactions in the 2HDM from Gauge Principles
• A "Gauged" $U(1)$ Peccei-Quinn Symmetry
• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
• On the Classification of Accidental Symmetries of the Two Higgs Doublet Model Potential
• Note on Custodial Symmetry in the Two-Higgs-Doublet Model
• Structure of potentials with $N$ Higgs doublets
• Properties of the general NHDM. I. The orbit space
• A new type of CP symmetry, family replication and fermion mass hierarchies
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data
• Heavy Higgs boson decays in the alignment limit of the 2HDM
• Vacuum Instabilities in the N2HDM
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Generalized CP Invariance and the Yukawa sector of Two-Higgs Models
• Non-Abelian strings and domain walls in two Higgs doublet models
• On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC
• CP properties of symmetry-constrained two-Higgs-doublet models
• Spontaneous CP violation in the 2HDM: physical conditions and the alignment limit
• Neutrino Masses in a Two Higgs Doublet Model with a U(1) Gauge Symmetry
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• The vacuum structure of the Higgs complex singlet-doublet model
• Topological Nambu monopole in two Higgs doublet models
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --

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• Vacuum Stability in the one-loop approximation of a 331 Model
• Systematic analysis of 3HDM symmetries
• The general Two-Higgs Doublet Model in a gauge-invariant form
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Lattice investigation of custodial two-Higgs-doublet model at weak quartic couplings
• Roads for Right-handed Neutrino Dark Matter: Fast Expansion, Standard Freeze-out, and Early Matter Domination
• CP violation in H^\pm \to W^\pm Z: A physical approach for the 2HDM
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets