Enhancement of the $H^{\pm }{W}^{\mp }Z$ vertex in the three scalar doublet model

Abstract

We compute one-loop induced trilinear vertices with physical charged Higgs bosons $H^{\pm }$ and ordinary gauge bosons, i.e., $H^{\pm }{W}^{\mp }Z$ and $H^{\pm }{W}^{\mp }\gamma$, in the model with two active plus one inert scalar doublet fields under a $Z_2(\text{unbroken})\times {\tilde{Z}}_2(\text{softly-broken})$ symmetry. The $Z_2$ and ${\tilde{Z}}_2$ symmetries are introduced to guarantee the stability of a dark matter candidate and to forbid the flavour changing neutral current at the tree level, respectively. The dominant form factor $F_Z$ of the $H^{\pm }{W}^{\mp }Z$ vertex can be enhanced by non-decoupling effects of extra scalar boson loop contributions. We find that, in such a model, $|F_Z{|}^2$ can be one order of magnitude larger than that predicted in two Higgs doublet models under the constraints from vacuum stability, perturbative unitarity and the electroweak precision observables. In addition, the branching fraction of the $H^{\pm }\to W^{\pm }Z$ $(H^{\pm }\to W^{\pm }\gamma )$ mode can be of order 10~(1)\% level when the mass of $H^{\pm }$ is below the top quark mass. Such a light $H^{\pm }$ is allowed by the so-called Type-I and Type-X Yukawa interactions which appear under the classification of the $\tilde{Z}$ charge assignment of the quarks and leptons. We also calculate the cross sections for the processes $H^{\pm }\to W^{\pm }Z$ and $H^{\pm }\to W^{\pm }\gamma$ onset by the top quark decay $t\to H^{\pm }b$ and electroweak $H^{\pm }$ production at the LHC.

33 pages, 24 figures, References added

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Cited by in corpus (14)

• Building and testing models with extended Higgs sectors
• Prospects for charged Higgs searches at the LHC
• Boundedness from below in the $U(1)\times U(1)$ three-Higgs-Doublet model
• Phenomenology of the Georgi-Machacek model at future electron-positron colliders
• Higgs Phenomenology in the Minimal $SU(3{)}_L\times U(1{)}_X$ Model
• Constraints on the Parameter Space in an Inert Doublet Model with two Active Doublets
• High-scale validity of a model with Three-Higgs-doublets
• BFB conditions on a class of symmetry constrained 3HDM
• Loop induced $H^{\pm }\to W^{\pm }Z$ decays in the aligned two-Higgs-doublet model
• Probing the $H^{\pm }{W}^{\mp }Z$ interaction at the high energy upgrade of the LHC
• Searching for a charged Higgs boson with both $H^{\pm }{W}^{\mp }Z$ and $H^{\pm }tb$ couplings at the LHC
• Type-I thermal leptogenesis in $Z_3$-symmetric three Higgs doublet model
• Fingerprinting the contribution of colored scalars to the $H^{+}{W}^{-}Z(\gamma )$ vertex
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry