Constraints on Parameter Space from Perturbative Unitarity in Models with Three Scalar Doublets

Abstract

We calculate an $s$-wave amplitude matrix for all the possible 2--to--2 body scalar boson elastic scatterings in models with three scalar doublets, including contributions from the longitudinal component of weak gauge bosons via the Equivalence Theorem Approximation. Specifically, we concentrate on the two cases with two[one] active plus one[two] inert doublet fields, referred to as I(1+2)HDM[I(2+1)HDM], under CP conservation. We obtain three analytically irreducible sub-matrices with the $3\times 3$ form and eighteen eigenvalues for the amplitude matrix as an independent set, where the same formula can be applied to both models. By requiring a perturbative unitarity condition, we can constrain the magnitude of quartic coupling constants in the Higgs potential. This constraint, in particular in the I(1+2)HDM, can be translated into a bound on masses of extra active scalar bosons. Furthermore, when Standard Model-like Higgs boson couplings with weak gauge bosons are deviated from the Standard Model predictions, the unitarity condition provides an upper limit on the masses. We find that stronger upper bounds on the masses of the active CP-even and CP-odd Higgs bosons are obtained under the constraints from the unitarity and vacuum stability conditions, as well as the electroweak $S$, $T$ and $U$ parameters, as compared to those in 2-Higgs Doublet Models with a softly-broken $Z_2$ symmetry.

References added, minor modification of texts

References in corpus (36)

• 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
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• The Inert Doublet Model: an Archetype for Dark Matter
• Note on tree-level unitarity in the General Two Higgs Doublet Model
• The Electroweak Fit of the Standard Model after the Discovery of a New Boson at the LHC
• Lee-Quigg-Thacker Bounds for Higgs Boson Masses in a Two-Doublet Model
• Physics potential and experimental challenges of the LHC luminosity upgrade
• The oblique parameters in multi-Higgs-doublet models
• Models of Yukawa interaction in the two Higgs doublet model, and their collider phenomenology
• Tree-level unitarity constraints in the most general 2HDM
• Phenomenology of models with more than two Higgs doublets
• Scalar Multiplet Dark Matter
• Flavor constraints on two-Higgs-doublet models with general diagonal Yukawa couplings
• Vacuum Stability Bounds in the Two-Higgs Doublet Model
• Upper and lower bounds of the lightest CP-even Higgs boson in the two-Higgs-doublet model
• How Can a Heavy Higgs Boson be Consistent with the Precision Electroweak Measurements?
• Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses
• Classification of finite reparametrization symmetry groups in the three-Higgs-doublet model
• Fingerprinting non-minimal Higgs sectors
• Symmetry breaking patterns in 3HDM
• Non-minimal neutral Higgs bosons at LEP2
• Indirect bounds on heavy scalar masses of the two-Higgs-doublet model in light of recent Higgs boson searches
• Implications of Higgs boson search data on the two-Higgs doublet models with a softly broken $Z_2$ symmetry
• Analysis of an extended scalar sector with $S_3$ symmetry
• Natural Multi-Higgs Model with Dark Matter and CP Violation
• Flavour with a Light Dynamical "Higgs Particle"
• Dark Matter with Two Inert Doublets plus One Higgs Doublet
• Z_p scalar dark matter from multi-Higgs-doublet models
• Light Charged Higgs bosons at the LHC in 2HDMs
• Stability and symmetry breaking in the general three-Higgs-doublet model
• Light charged Higgs bosons decaying to charm and bottom quarks in models with two or more Higgs doublets
• Delta r in the Two-Higgs-Doublet Model at full one loop level -- and beyond
• Phenomenology of the Inert (2+1) and (4+2) Higgs Doublet Models
• Flavour Models with Three Higgs Generations

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• Alignment limit in three Higgs-doublet models
• Effects of Two Inert Scalar Doublets on Higgs Interactions and Electroweak Phase Transition
• Unitarity bounds for all symmetry-constrained 3HDMs
• Constraints on the Parameter Space in an Inert Doublet Model with two Active Doublets
• High-scale validity of a model with Three-Higgs-doublets
• Enhancement of the $H^{\pm }{W}^{\mp }Z$ vertex in the three scalar doublet model
• Light charged Higgs boson with dominant decay to a charm quark and a bottom quark and its search at LEP2 and future $e^{+}{e}^{-}$ colliders
• Slight excess at 130 GeV in search for a charged Higgs boson decaying to a charm quark and a bottom quark at the Large Hadron Collider
• Complementary Probes of Two-component Dark Matter
• Fingerprinting the Type-Z three Higgs doublet models
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