Minkowski space structure of the Higgs potential in 2HDM

Abstract

The Higgs potential of 2HDM keeps its generic form under the group of transformation GL(2,C), which is larger than the usually considered reparametrization group U(2). This reparametrization symmetry induces the Minkowski space structure in the orbit space of 2HDM. Exploiting this property, we present a geometric analysis of the number and properties of stationary points of the most general 2HDM potential. In particular, we prove that charge-breaking and neutral vacua never coexist in 2HDM and establish conditions when the most general explicitly CP-conserving Higgs potential has spontaneously CP-violating minima. Our analysis avoids manipulation with high-order algebraic equations.

33 pages, 6 figures; v3: corrected a flaw in the proof of proposition 10

References in corpus (3)

• Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
• CP violation conditions in N-Higgs-doublet potentials
• Stability of the normal vacuum in multi-Higgs-doublet models

Cited by in corpus (168)

• Theory and phenomenology of two-Higgs-doublet models
• 2HDMC - Two-Higgs-Doublet Model Calculator
• Vacuum Stability Conditions From Copositivity Criteria
• Flavor constraints on two-Higgs-doublet models with general diagonal Yukawa couplings
• Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Metastability bounds on the two Higgs doublet model
• Building and testing models with extended Higgs sectors
• The N2HDM under Theoretical and Experimental Scrutiny
• Vacuum Stability of a General Scalar Potential of a Few Fields
• Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses
• Vacuum Topology of the Two Higgs Doublet Model
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• The CP-Violating 2HDM in Light of a Strong First Order Electroweak Phase Transition and Implications for Higgs Pair Production
• Explaining the CMS Higgs flavor violating decay excess
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• New LHC Benchmarks for the CP-conserving Two-Higgs-Doublet Model
• Symmetry breaking patterns in 3HDM
• Wrong sign and symmetric limits and non-decoupling in 2HDMs
• Lepton flavour violating Higgs and tau to mu gamma
• Bounds on scalar masses in two Higgs doublet models
• Minimal semi-annihilating ${\mathbb{Z}}_N$ scalar dark matter
• Tree-level metastability bounds for the most general two Higgs doublet model
• Double Neutral Higgs production in the Two-Higgs doublet model at the LHC
• Copositive Criteria and Boundedness of the Scalar Potential
• 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
• On the Classification of Accidental Symmetries of the Two Higgs Doublet Model Potential
• A CP-conserving multi-Higgs model without real basis
• Structure of potentials with $N$ Higgs doublets
• Constraining parameter space in type-II two-Higgs doublet model in light of a 126 GeV Higgs boson
• Properties of the general NHDM. I. The orbit space
• Geometric minimization of highly symmetric potentials
• A new type of CP symmetry, family replication and fermion mass hierarchies
• Classifying Accidental Symmetries in Multi-Higgs Doublet Models
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data
• Evading death by vacuum
• Light Charged Higgs bosons at the LHC in 2HDMs
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Boundedness from below in the $U(1)\times U(1)$ three-Higgs-Doublet model
• Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale
• Collider and Dark Matter Searches in the Inert Doublet Model from Peccei-Quinn Symmetry
• Properties of the general NHDM. II. Higgs potential and its symmetries
• One-loop contributions to neutral minima in the inert doublet model
• On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC
• Non-Abelian strings and domain walls in two Higgs doublet models
• The evolution of vacuum states and phase transitions in 2HDM during cooling of Universe
• Abelian symmetries of the N-Higgs-doublet model with Yukawa interactions
• Next Generation Higgs Bosons: Theory, Constraints and Discovery Prospects at the Large Hadron Collider
• Group-theoretic Condition for Spontaneous CP Violation
• Type-X two Higgs doublet model in light of the muon $\mathbf{g}-2$: confronting Higgs and collider data
• CDF $W$ boson mass and muon $g-2$ in type-X two-Higgs-doublet model with a Higgs-phobic light pseudoscalar
• CP4 miracle: shaping Yukawa sector with CP symmetry of order four
• Geometric methods for the most general Ginzburg-Landau model with two order parameters
• High scale impact in alignment and decoupling in two-Higgs doublet models
• Yukawa sector of Multi Higgs Doublet Models in the presence of Abelian symmetries
• CP properties of symmetry-constrained two-Higgs-doublet models
• General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
• Systematic construction of basis invariants in the 2HDM
• Recognizing symmetries in 3HDM in basis-independent way
• Reopen parameter regions in Two-Higgs Doublet Models
• Revisiting $B_s\to {\mu }^{+}{\mu }^{-}$ in the two-Higgs doublet models with $Z_2$ symmetry
• Symmetries of symmetries and geometrical CP violation
• Singlet-Doublet Fermionic Dark Matter and Gravitational Wave in Two Higgs Doublet Extension of the Standard Model
• Electroweak axion string and superconductivity
• Different vacua in 2HDM
• Maximally Symmetric Three Higgs Doublet Model
• Unitarity bounds for all symmetry-constrained 3HDMs
• Stability of R parity in supersymmetric models extended by U(1)_{B-L}
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Improved unitarity constraints in Two-Higgs-Doublet-Models
• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• $pp\to A\to Zh$ and the wrong-sign limit of the Two-Higgs-Doublet Model
• Distinctive Higgs Signals of a Type II 2HDM at the LHC
• Diagnosing CP properties of the 2HDM
• Comprehensive study of the light charged Higgs boson in the type-I two-Higgs-doublet model
• Scalar Multiplet Dark Matter in a Fast Expanding Universe: resurrection of the desert region
• The vacuum structure of the Higgs complex singlet-doublet model
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• Quartic Coupling Unification in the Maximally Symmetric 2HDM
• Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• $Z_2$ breaking effects in 2-loop RG evolution of 2HDM
• Basis-invariant conditions for CP symmetry of order 4
• Updated global fit of the aligned two-Higgs-doublet model with heavy scalars
• A natural mechanism for approximate Higgs alignment in the 2HDM
• Two Higgs Doublet Model in light of the Standard Model H -> tau^+ tau^- search at the LHC
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Higgs masses of the general 2HDM in the Minkowski-space formalism
• The three- and four-Higgs couplings in the general two-Higgs-doublet model
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Two Higgs doublet models with an $S_3$ symmetry
• 2 Higgs Doublet Model Evolver -- Manual
• Scotogenic model for co-bimaximal mixing
• On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC, II: radiative effects
• Light scalars within the $\mathcal{C}\mathcal{P}$-conserving Aligned-two-Higgs-doublet model
• New scenario for aligned Higgs couplings originated from the twisted custodial symmetry at high energies
• Symmetries of the 2HDM: an invariant formulation and consequences
• Unveiling desert region in inert doublet model assisted by Peccei-Quinn symmetry
• Generalized 2HDM with wrong-sign lepton Yukawa coupling, in light of $g_{\mu }-2$ and lepton flavor violation at the future LHC
• Fermiophobic light Higgs boson in the type-I two-Higgs-doublet model
• Further study of the global minimum constraint on the two-Higgs-doublet models: LHC searches for heavy Higgs bosons
• Accidental Symmetries in the 2HDMEFT
• Necessity of mixed kinetic term in the description of general system with identical fields
• Maximising CP Violation in Naturally Aligned Two-Higgs Doublet Models
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Partially Natural Two Higgs Doublet Models
• NLO Perturbativity Bounds on Quartic Couplings in Renormalizable Theories with ${\varphi }^4$-like Scalar Sectors
• Stability of neutral minima against charge breaking in the Higgs triplet model
• On the scalar potential of two-Higgs doublet models
• Spontaneous Charge Breaking in the NMSSM - Dangerous or not?
• Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges
• Measuring the charged Higgs mass and distinguishing between models with top-quark observables
• CP and other Symmetries of Symmetries
• CP Phases in 2HDM and Effective Potential: A Geometrical View
• Compatible abelian symmetries in N-Higgs-Doublet Models
• Pseudoscalar decays to gauge bosons at the LHC and at a future 100 TeV collider
• High Scale Boundary Conditions in Models with Two Higgs Doublets
• Higgs boson phenomenology in tau^+ tau^- final states at the LHC
• Higgs alignment and the top quark
• Basis invariant conditions for supersymmetry in the two-Higgs-doublet model
• The Higgs decay rate to two photons in a model with two fermiophobic-Higgs doublets
• CTA Sensitivity on TeV scale Dark Matter Models with Complementary Limits from Direct Detection
• Confronting the fourth generation two Higgs doublet model with the phenomenology of heavy Higgs bosons
• Intermediate Charge-Breaking Phases and Symmetry Non-Restoration in the 2-Higgs-Doublet Model
• Global Symmetries and Effective Potential of 2HDM in Orbit Space
• Disentangling the high and low cutoff scales via the trilinear Higgs couplings in the type-I two-Higgs-doublet model
• Probing extra Yukawa couplings by precision measurements of Higgs properties
• One-Loop Charge-Breaking Minima in the Two-Higgs Doublet Model
• Systematic analysis of 3HDM symmetries
• One-loop considerations for coexisting vacua in the CP conserving 2HDM
• Very Light Higgs Bosons in Extended Models at the LHC
• On the terms violating the custodial symmetry in multi-Higgs-doublet models
• Dirac leptogenesis from asymmetry wash-in via scatterings
• Freed Leptogenesis
• Analysis of fine-tuning measures in models with extended Higgs sectors
• Limiting FCNC induced by a CP symmetry of order 4
• Study on the global minimum and $H\to \gamma \gamma$ in the Dirac scotogenic model
• Radiative seesaw corrections and charged-lepton decays in a model with soft flavour violation
• Revisiting the scotogenic model with scalar dark matter
• Symmetries from outer automorphisms and unorthodox group extensions
• GOOFy -- a systematic approach
• Is our vacuum global in a 331 model with three triplets?
• Fitting the $Zb\bar{b}$ vertex in the two-Higgs-doublet model and in the three-Higgs-doublet model
• Percolation of Domain Walls in the Two-Higgs Doublet Model
• Upper limit on dark matter mass in the inert doublet model
• Study of vacuum behavior for inert models with discrete $Z_2$-like and abelian $U(1)$ symmetries
• Lattice investigation of custodial two-Higgs-doublet model at weak quartic couplings
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• 2-loop RG evolution of CP-violating 2HDM
• On the mass spectrum of heavy Higgs bosons in two-Higgs-doublet model in the light of the CDF $W$-mass anomaly
• Type-II two-Higgs-doublet model in noncommutative geometry
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets
• Vacuum Stability Conditions for New $SU(2)$ Multiplets
• The Z2 Two Higgs Doublet Model and the hierarchy problem
• Novel probes for electron-muon flavor violation from exotic Higgs decays
• A three Higgs doublet model with symmetry-suppressed flavour changing neutral currents
• Complete Classification of Domain Wall Solutions in the ${\mathbb{Z}}_2$-symmetric 2HDM
• Vacuum Stability Conditions and Potential Minima for a Matrix Representation in Lightcone Orbit Space
• Boundedness from below of SU(n) potentials
• The Multiple Point Principle and Extended Higgs Sectors
• The Hilbert Series and the Flavor Invariants of the 3HDM
• New Tools for Dissecting the General 2HDM
• Constraints from Heavy Higgs boson masses in the two Higgs doublet model
• Phenomenological aspects from vacuum stability and metastability in models with soft breaking of a \texorpdfstring{$U\left(1\right)$}{lg} global symmetry