Basis-independent methods for the two-Higgs-doublet model

Abstract

In the most general two-Higgs-doublet model (2HDM), unitary transformations between the two Higgs fields do not change the functional form of the Lagrangian. All physical observables of the model must therefore be independent of such transformations (i.e., independent of the Lagrangian basis choice for the Higgs fields). We exhibit a set of basis-independent quantities that determine all tree-level Higgs couplings and masses. Some examples of the basis-independent treatment of 2HDM discrete symmetries are presented. We also note that the ratio of the neutral Higgs field vacuum expectation values, tan(beta), is not a meaningful parameter in general, as it is basis-dependent. Implications for the more specialized 2HDMs (e.g., the Higgs sector of the MSSM and the so-called Type-I and Type-II 2HDMs) are explored.

46 pages and 3 figures; typographical errors corrected

References in corpus (2)

• Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation
• CP-odd invariants in models with several Higgs doublets

Cited by in corpus (276)

• Theory and phenomenology of two-Higgs-doublet models
• MadGraph/MadEvent v4: The New Web Generation
• 2HDMC - Two-Higgs-Doublet Model Calculator
• Flavour physics of leptons and dipole moments
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Tree-level unitarity constraints in the most general 2HDM
• Automatic evaluation of UV and R2 terms for beyond the Standard Model Lagrangians: a proof-of-principle
• Unified Models of Neutrinos, Flavour and CP Violation
• Minkowski space structure of the Higgs potential in 2HDM
• Flavor constraints on two-Higgs-doublet models with general diagonal Yukawa couplings
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• A comprehensive approach to new physics simulations
• Revisiting the Global Electroweak Fit of the Standard Model and Beyond with Gfitter
• Conditions for CP-Violation in the General Two-Higgs-Doublet Model
• 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
• Symmetries of Two Higgs Doublet Model and CP violation
• Status of the Charged Higgs Boson in Two Higgs Doublet Models
• A Second Higgs Doublet in the Early Universe: Baryogenesis and Gravitational Waves
• Building and testing models with extended Higgs sectors
• Charged-Higgs phenomenology in the Aligned two-Higgs-doublet model
• Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 2: $m_H=125$ GeV
• Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 1: $m_h=125$ GeV
• $R(D^{(\ast )})$ in a general two Higgs doublet model
• A Twisted Custodial Symmetry in the Two-Higgs-Doublet Model
• Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
• On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
• Putting SMEFT Fits to Work
• Probing wrong-sign Yukawa couplings at the LHC and a future linear collider
• Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses
• Higgs pair production via gluon fusion in the Two-Higgs-Doublet Model
• Vacuum Topology of the Two Higgs Doublet Model
• Status of the semileptonic $B$ decays and muon g-2 in general 2HDMs with right-handed neutrinos
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• CP violation conditions in N-Higgs-doublet potentials
• Consistency of the Two Higgs Doublet Model and CP violation in top production at the LHC
• CP Violation in the General Two-Higgs-Doublet Model: a Geometric View
• Explaining the CMS Higgs flavor violating decay excess
• Pushing Higgs Effective Theory to its Limits
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Two-Higgs-doublet model from the group-theoretic perspective
• EDMs vs. CPV in B_{s,d} mixing in two Higgs doublet models with MFV
• A Minimal Flavor Violating 2HDM at the LHC
• A new insight into the phase transition in the early Universe with two Higgs doublets
• Resolving electron and muon $g-2$ within the 2HDM
• A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints
• Flavor Changing Heavy Higgs Interactions at the LHC
• Complementarity Between Non-Standard Higgs Searches and Precision Higgs Measurements in the MSSM
• Charge and CP symmetry breaking in two Higgs doublet models
• Neutral minima in two-Higgs doublet models
• Lepton flavour violating Higgs and tau to mu gamma
• Bounds on scalar masses in two Higgs doublet models
• Towards a general analysis of LHC data within two-Higgs-doublet models
• Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance
• Full parameter scan of the Zee model: exploring Higgs lepton flavor violation
• Next-to-leading order unitarity fits in Two-Higgs-Doublet models with soft ${\mathbb{Z}}_2$ breaking
• 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
• Electroweak Baryogenesis with Lepton Flavor Violation
• $B_{s,d}^0\to {\ell }^{+}{\ell }^{-}$ Decays in the Aligned Two-Higgs-Doublet Model
• Scrutinizing h(125) in Two Higgs Doublet Models at the LHC, ILC, and Muon Collider
• Collider Signatures of Flavorful Higgs Bosons
• On the Classification of Accidental Symmetries of the Two Higgs Doublet Model Potential
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• Stability of the normal vacuum in multi-Higgs-doublet models
• Note on Custodial Symmetry in the Two-Higgs-Doublet Model
• Higgs Physics: It ain't over till it's over
• Higgs bosons with large couplings to light quarks
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• High-scale validity of a two-Higgs doublet scenario: a study including LHC data
• High scale flavor alignment in two-Higgs doublet models and its phenomenology
• Properties of the general NHDM. I. The orbit space
• Discrete and continuous symmetries in multi-Higgs-doublet models
• Two Higgs doublets to explain the excesses $pp\to \gamma \gamma (750\mathrm{GeV})$ and $h\to {\tau }^{\pm }{\mu }^{\mp }$
• $\tau$- and $\mu$-physics in a general two Higgs doublet model with $\mu -\tau$ flavor violation
• Type-II 2HDM under the Precision Measurements at the $Z$-pole and a Higgs Factory
• Testing SUSY at the LHC: Electroweak and Dark matter fine tuning at two-loop order
• One-Loop Corrections to the Perturbative Unitarity Bounds in the $CP$-Conserving Two-Higgs Doublet Model with a Softly Broken ${\mathbb{Z}}_2$ Symmetry
• Higgs ID at the LHC
• Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data
• Muon $g-2$ in the Aligned Two Higgs Doublet Model
• Aligned and Spontaneous Flavor Violation
• Electron EDM in the complex two-Higgs doublet model
• Physical parameters and basis transformations in the Two-Higgs-Doublet model
• Heavy Higgs boson decays in the alignment limit of the 2HDM
• Approximate Alignment in Two Higgs Doublet Model with Extra Yukawa Couplings
• Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale
• LHC sensitivity to the decay of a Higgs boson to tau mu
• Explaining 750 GeV diphoton excess from top/bottom partner cascade decay in two-Higgs-doublet model extension
• Higgcision in the Two-Higgs Doublet Models
• QCD Corrections in two-Higgs-doublet extensions of the Standard Model with Minimal Flavor Violation
• Two-Higgs doublet solution to the LSND, MiniBooNE and muon $g-2$ anomalies
• Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
• Properties of the general NHDM. II. Higgs potential and its symmetries
• Full next-to-leading-order calculations of Higgs boson decay rates in models with non-minimal scalar sectors
• Exploiting dijet resonance searches for flavor physics
• Leptogenesis, Yukawa Textures and Weak Basis Invariants
• Electroweak baryogenesis in aligned two Higgs doublet models
• $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ Decay in the Aligned Two-Higgs-Doublet Model
• The evolution of vacuum states and phase transitions in 2HDM during cooling of Universe
• 2HDM portal for Singlet-Doublet Dark Matter
• Limits on the Charged Higgs Parameters in the Two Higgs Doublet Model using CMS $\sqrt{s}=13$ TeV Results
• Unconventional phenomenology of a minimal two-Higgs-doublet model
• Leptonic Charged Higgs Decays in the Zee Model
• What the Oblique Parameters S, T, and U and Their Extensions Reveal About the 2HDM: A Numerical Analysis
• Group-theoretic Condition for Spontaneous CP Violation
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Constraining General Two Higgs Doublet Models by the Evolution of Yukawa Couplings
• Anomalous B meson mixing and baryogenesis in a two Higgs doublet model with top-charm flavor violation
• High scale impact in alignment and decoupling in two-Higgs doublet models
• Basis-independent treatment of the complex 2HDM
• Constraining a Lighter Exotic Scalar via Same-sign Top
• Charged Higgs phenomenology in the flipped two Higgs doublet model
• CP properties of symmetry-constrained two-Higgs-doublet models
• The 2HDM-X and Large Hadron Collider Data
• Systematic construction of basis invariants in the 2HDM
• Flavor Changing Leptonic Decays of Heavy Higgs Bosons
• Comparing 2HDM $+$ Scalar and Pseudoscalar Simplified Models at LHC
• 2HDM Portal Dark Matter: LHC data and the Fermi-LAT 135 GeV Line
• Majorana Neutrino Masses in the RGEs for Lepton Flavour Violation
• Spontaneous CP violation in the 2HDM: physical conditions and the alignment limit
• Recognizing symmetries in 3HDM in basis-independent way
• CP-Violation in the $ZZZ$ and $ZWW$ vertices at $e^{+}{e}^{-}$ colliders in Two-Higgs-Doublet Models
• Symmetry and Mass Degeneration in Multi-Higgs-Doublet Models
• Automated mass spectrum generation for new physics
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Revisiting $B_s\to {\mu }^{+}{\mu }^{-}$ in the two-Higgs doublet models with $Z_2$ symmetry
• Likelihood analysis of the flavour anomalies and $g-2$ in the general two Higgs doublet model
• Constraining $t\to u$ flavor changing neutral Higgs coupling at the LHC
• CP Violating Two-Higgs-Doublet Model: Constraints and LHC Predictions
• Two Higgs Models for Large Tan Beta and Heavy Second Higgs
• Enhanced $B\to \mu \bar{\nu }$ Decay at Tree Level as Probe of Extra Yukawa Couplings
• Zee-Burst: A New Probe of Neutrino Non-Standard Interactions at IceCube
• Implications of Four-Top and Top-Pair Studies on Triple-Top Production
• Introduction to Charged Lepton Flavour Violation
• Two-loop corrections to the $\rho$ parameter in Two-Higgs-Doublet Models
• The flavor puzzle in multi-Higgs models
• The Inert Zee Model
• Sub-TeV $H^{+}$ Boson Production as Probe of Extra Top Yukawa Couplings
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Different vacua in 2HDM
• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• Matching Matters!
• Phenomenology of the Inert (2+1) and (4+2) Higgs Doublet Models
• Diagnosing CP properties of the 2HDM
• Investigating light NMSSM pseudoscalar states with boosted ditau tagging
• $B_s^0-{\bar{B}}_s^0$ mixing within minimal flavor-violating two-Higgs-doublet models
• Signature of 2HDM at Higgs Factories
• Invariants and Flavour in the General Two-Higgs Doublet Model
• Chasing the two-Higgs doublet model in the di-Higgs production
• The $tZH$ and $tZh$ production in 2HDM: Prospects for discovery at the LHC
• $Z_2$ breaking effects in 2-loop RG evolution of 2HDM
• Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
• Dark Matter Phenomenology of SM and Enlarged Higgs Sectors Extended with Vector Like Leptons
• Probing GeV-scale MSSM neutralino dark matter in collider and direct detection experiments
• Top-Assisted Di-Higgs boson Production Motivated by Baryogenesis
• Review of LHC experimental results on low mass bosons in multi Higgs models
• Decays of Higgs Bosons in the Standard Model and Beyond
• Perturbative Unitarity Bounds in Composite 2-Higgs Doublet Models
• Lepton masses and mixing in a two-Higgs-doublet model
• Flavor Changing Heavy Higgs Interactions with Leptons at Hadron Colliders
• Exclusive radiative B-meson decays within minimal flavour violating 2HDMs
• Higgs masses of the general 2HDM in the Minkowski-space formalism
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Flavorful Two Higgs Doublet Models with a Twist
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• 2 Higgs Doublet Model Evolver -- Manual
• Charge breaking bounds in the Zee model
• Higgs boson couplings in multi-doublet models with natural flavour conservation
• $h\to \mu \tau$ and muon g-2 in the alignment limit of two-Higgs-doublet model
• Probing double-aligned two Higgs doublet models at LHC
• Supersymmetry versus Compositeness: 2HDMs tell the story
• Probing Neutrino Mass Models through Resonances at Neutrino Telescopes
• The lightest Higgs boson production at photon colliders in the 2HDM-III
• Testing aligned CP-violating Higgs sector at future lepton colliders
• Current Status of Top-Specific Variant Axion Model
• Double Higgs boson production at $e^{+}{e}^{-}$ colliders in the two-Higgs-doublet model
• Probing an additional bottom Yukawa coupling via $bg\to bA\to bZH$ signature
• Collider Prospects for Muon $g-2$ in General Two Higgs Doublet Model
• P-even, CP-violating Signals in Scalar-Mediated Processes
• Phenomenology of the Basis-Independent CP-Violating Two-Higgs Doublet Model [Dissertation]
• Higgs phenomenology in the Stealth Doublet Model
• Necessity of mixed kinetic term in the description of general system with identical fields
• Partially Natural Two Higgs Doublet Models
• Enhanced Charged Higgs Production through W-Higgs Fusion in W-b Scattering
• Accumulating Hints for Flavour Violating Higgses at the Electroweak Scale
• Higgs Quark Flavor Violation: Simplified Models and Status of General Two-Higgs-Doublet Model
• Search for heavy neutral CP-even Higgs within Type-IV 2HDM at a future linear collider
• Higgs properties in a broken Inert Doublet Model
• Anomaly-free axion dark matter in three Higgs doublet model and its phenomenological implications
• Effective Theory of Higgs Sector Vacuum States
• Predictions for Muon Electric and Magnetic Dipole Moments from $h\to {\mu }^{+}{\mu }^{-}$ in Two-Higgs-Doublet Models with New Leptons
• Probing CP violating Higgs sectors via the precision measurement of coupling constants
• Charming Top Decays with Flavor Changing Neutral Higgs Boson and WW at Hadron Colliders
• Frustrated symmetries in multi-Higgs-doublet models
• The Coming Decade of $h\to \tau \mu$ and $\tau \to \mu \gamma$ Interplay in $\tau$ Flavor Violation Search
• Electroweak Stability and Discovery Luminosities for New Physics
• Bounding the B_s -> gamma gamma decay from Higgs mediated FCNC transitions
• Constraints on Two Higgs Doublet Model Parameters in the light of rare $B$-Decays
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges
• Hints of a new leptophilic Higgs sector?
• Basis invariant conditions for supersymmetry in the two-Higgs-doublet model
• Rare B decays in the flip SU(5) Model
• Radiative corrections to decay branching ratios of the CP-odd Higgs boson in two Higgs doublet models
• Muon Electric Dipole Moment as a Probe of Flavor-Diagonal CP Violation
• Charged Higgs Pair Production in a General Two Higgs Doublet Model at $e^{+}{e}^{-}$ and ${\mu }^{+}{\mu }^{-}$ Linear Colliders
• Search for a heavy neutral Higgs boson in a left-right model with an inverse seesaw mechanism at the LHC
• Exceptional regions of the 2HDM parameter space
• CP Phases in 2HDM and Effective Potential: A Geometrical View
• Flavor Anomalies Accommodated in A Flavor Gauged Two Higgs Doublet Model
• Interplay of the charged Higgs effects in $R_{D^{(\ast )}}$, $b\to s{\ell }^{+}{\ell }^{-}$ and $W$-mass
• Flavor changing top decays to charm and Higgs with $\tau \tau$ at the LHC
• CP and other Symmetries of Symmetries
• A Final Word on FCNC-Baryogenesis from Two Higgs Doublets
• Complex CKM from Spontaneous CP Violation Without Flavor Changing Neutral Current
• Michel parameters for $\tau$ decays $\tau \to l\nu \bar{\nu }(l=e,\mu )$ in a general two Higgs doublet model with $\mu -\tau$ flavor violation
• Vacuum expectation value renormalization in the Standard Model and beyond
• $\mathcal{C}\mathcal{P}$ violation with an unbroken $\mathcal{C}\mathcal{P}$ transformation
• Softly broken symmetries in the 2HDM -- an invariant formulation
• Yukawa Alignment Revisited in the Higgs Basis
• A fully basis invariant Symmetry Map of the 2HDM
• Gauge dependence of tadpole and mass renormalization for a seesaw extended 2HDM
• Analysis of b quark pair production signal from neutral 2HDM Higgs bosons at future Linear Colliders
• Possibility of observing Higgs bosons at the ILC in the lepton-specific 2HDM
• Charged Higgs decay to $W^{\pm }H$ at a high energy lepton collider
• Dynamical relaxation in 2HDM models
• Prospect and implications of $cg\to b{H}^{+}\to bA{W}^{+}$ production at the LHC
• Probing extra Yukawa couplings by precision measurements of Higgs properties
• Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model
• Search for neutral Higgs bosons decaying to $b\bar{b}$ in the flipped 2HDM at future $e^{-}{e}^{+}$ linear colliders
• Observability of 2HDM neutral Higgs bosons with different masses at future $e^{+}{e}^{-}$ linear colliders
• Dual electroweak phase transition in the two-Higgs-doublet model with the $S_3$ discrete symmetry
• On the Neutral Scalar Sector of the General R-parity Violating MSSM
• Two-Higgs Doublet Model Effective Field Theory
• Electroweak baryogenesis in the three-loop neutrino mass model with dark matter
• Capability of future linear colliders to discover heavy neutral CP-even and CP-odd Higgs bosons within Type-I 2HDM
• Extracting the mass scale of a second Higgs boson from a deviation in $h(125)$ couplings
• Predicting Alignment in a Two Higgs Doublet Model
• Three Lectures of Flavor and CP violation within and Beyond the Standard Model
• Kinematic corrections and reconstruction methods for neutral Higgs boson decay to $b\bar{b}$ in 2HDM type-I at future lepton colliders
• A simple criterium for CP conservation in the most general 2HDM
• Lie symmetry analysis of the two-Higgs-doublet model field equations
• Exploring Wrong Sign Scenarios in the Yukawa-Aligned 2HDM
• Enhanced $B_q\to \ell {\ell }^{\prime }$ and $B\to (K,\pi )\ell {\ell }^{\prime }$ in light of $(g-2{)}_{\mu }$
• Production of multiple charged Higgs bosons in 3-3-1 models
• Observability of Charged Higgs through Triple or Double Higgs Production in a General Two Higgs Doublet Model at an e+e- Linear Collider
• Enhancement of Charged Higgs Production in Association With W at Muon Colliders in General Two Higgs Doublet Models
• Mu to e gamma in the 2 Higgs Doublet Model: an exercise in EFT
• Alignment of Yukawa couplings in two Higgs doublet models
• Heavy neutral 2HDM Higgs Boson Pair Production at CLIC Energies
• Naturalness of electroweak physics within minimal supergravity
• Analytical solution for the Zee mechanism
• Double Higgs mechanisms, supermassive stable particles and the vacuum energy
• Discriminating between $CP$ and family transformations in the bilinear space of NHDM
• Radiative corrections to decays of charged Higgs bosons in two Higgs doublet models
• Observability of 2HDM charged Higgs boson in a misaligned scenario
• Higgs production in association with bottom quark pair at LHC
• Constraints on the charged Higgs boson of the two Higgs doublet model type III
• 2-loop RG evolution of CP-violating 2HDM
• Reparameterization of the scalar potential in the two Higgs doublet model
• Zh Production, a Tool to Constrain 2HDM
• Higgs properties in the Stealth Doublet Model
• Twin electroweak bubble nucleation and gravitational wave under the $S_3$ symmetry of two-Higgs-doublet model
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Observability of 2HDM Neutral Higgs Bosons in fully hadronic decay at future linear collider
• The role of charged Higgs boson decays in the determination of tanβ-like parameters
• Constraining $A\to ZH$ with $H\to t\bar{t}$ in the Low-Mass Region
• The $R^2$-Higgs inflation with two Higgs doublets
• Prospects for Higgs boson and new scalar resonant production searches in ttbb final state at the LHC
• Next-to-leading-order corrections to the Higgs strahlung process from electron-positron collisions in extended Higgs models
• The Hilbert Series and the Flavor Invariants of the 3HDM
• Production of neutral Higgs bosons associated with Z-boson and photon in 2HDM at future lepton colliders
• An Emergent Higgs Alignment
• Charged Higgs-boson pair production in association with the $Z^0$ boson at electron-positron colliders