The three- and four-Higgs couplings in the general two-Higgs-doublet model

Abstract

We apply the unitarity bounds and the bounded-from-below (BFB) bounds to the most general scalar potential of the two-Higgs-doublet model (2HDM). We do this in the Higgs basis, i.e. in the basis for the scalar doublets where only one doublet has vacuum expectation value. In this way we obtain bounds on the scalar masses and couplings that are valid for all 2HDMs. We compare those bounds to the analogous bounds that we have obtained for other simple extensions of the Standard Model (SM), namely the 2HDM extended by one scalar singlet and the extension of the SM through two scalar singlets.

arXiv comment43 pages, 17 figures. In version 2 added new references. Version 3 has many modifications, including modified figures and conclusions, and also three new appendices. Version 4 matches published version

References in corpus (38)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Tree-level unitarity constraints in the most general 2HDM
• A precision constraint on multi-Higgs-doublet models
• Vacuum Stability Conditions From Copositivity Criteria
• 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
• Building and testing models with extended Higgs sectors
• Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation
• Simplified dark matter models with two Higgs doublets: I. Pseudoscalar mediators
• The Quartic Higgs Coupling at Hadron Colliders
• Probing the Higgs self coupling via single Higgs production at the LHC
• A global view on the Higgs self-coupling at lepton colliders
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Benchmarks for Higgs Pair Production and Heavy Higgs Searches in the Two-Higgs-Doublet Model of Type II
• Constraints on the trilinear Higgs coupling from vector boson fusion and associated Higgs production at the LHC
• Tree-level metastability bounds for the most general two Higgs doublet model
• Unitarity constraints on general scalar couplings with SARAH
• Self-consistent Dark Matter Simplified Models with an s-channel scalar mediator
• Electroweak oblique parameters as a probe of the trilinear Higgs boson self-interaction
• Constraints on the trilinear Higgs self coupling from precision observables
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• Maxi-sizing the trilinear Higgs self-coupling: how large could it be?
• Spontaneous $CP$-Violating Electroweak Baryogenesis and Dark Matter from a Complex Singlet Scalar
• Higgs pair productions in the CP-violating two-Higgs-doublet model
• Higgs Phenomenology in the Two-Singlet Model
• Probing Quartic Higgs Self-Interaction
• Two Higgs Doublet Dark Matter Portal
• A Two-Singlet Model for Light Cold Dark Matter
• Reopen parameter regions in Two-Higgs Doublet Models
• Algorithmic Boundedness-From-Below Conditions for Generic Scalar Potentials
• Improved unitarity constraints in Two-Higgs-Doublet-Models
• Two-Higgs-Doublet-Portal Dark-Matter Models in Light of Direct Search and LHC Data
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• High-scale validity of a two Higgs doublet scenario: predicting collider signals
• The two-real-singlet Dark Matter model
• Lepton mixing and the charged-lepton mass ratios

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• Impact of the CDF $W$-mass anomaly on two Higgs doublet model
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• Predictions for Muon Electric and Magnetic Dipole Moments from $h\to {\mu }^{+}{\mu }^{-}$ in Two-Higgs-Doublet Models with New Leptons
• Naturalness Implications within the Two-Real-Scalar-Singlet beyond the SM
• Two-body lepton-flavour-violating decays in a 2HDM with soft family-lepton-number breaking
• Lepton masses and mixing in a scotogenic model
• Yukawa Alignment Revisited in the Higgs Basis
• Seesaw neutrinos with one right-handed singlet field and a second Higgs doublet
• Radiative seesaw corrections and charged-lepton decays in a model with soft flavour violation
• On the mass spectrum of heavy Higgs bosons in two-Higgs-doublet model in the light of the CDF $W$-mass anomaly
• New Tools for Dissecting the General 2HDM
• Higgs masses and couplings in the general 2HDM with unitarity bounds