Phenomenological discriminations of the Yukawa interactions in two-Higgs doublet models with $Z_2$ symmetry

Abstract

There are four types of two-Higgs doublet models under a discrete $Z_2$ symmetry imposed to avoid tree-level flavour-changing neutral current, i.e. type-I, type-II, type-X and type-Y models. We investigate the possibility to discriminate the four models in the light of the flavour physics data, including $B_s-{\bar{B}}_s$ mixing, $B_{s,d}\to {\mu }^{+}{\mu }^{-}$, $B\to \tau \nu$ and $\bar{B}\to X_s\gamma$ decays, the recent LHC Higgs data, the direct search for charged Higgs at LEP, and the constraints from perturbative unitarity and vacuum stability. After deriving the combined constraints on the Yukawa interaction parameters, we have shown that the correlation between the mass eigenstate rate asymmetry $A_{\Delta \Gamma }$ of $B_s\to {\mu }^{+}{\mu }^{-}$ and the ratio $R=\mathcal{B}(B_s\to {\mu }^{+}{\mu }^{-}{)}_{exp}/\mathcal{B}(B_s\to {\mu }^{+}{\mu }^{-}{)}_{SM}$ could be sensitive probe to discriminate the four models with future precise measurements of the observables in the $B_s\to {\mu }^{+}{\mu }^{-}$ decay at LHCb.

29 pages, 4 tables, 11 figures. v3: minor corrections included, matches published version in EPJC

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• Feasibility of light scalars in a class of two-Higgs-doublet models and their decay signatures
• Exploring top quark FCNC within 2HDM type III in association with flavor physics
• Revisiting $B_s\to {\mu }^{+}{\mu }^{-}$ in the two-Higgs doublet models with $Z_2$ symmetry
• Searches for additional Higgs bosons in multi-top-quarks events at the LHC and the International Linear Collider
• Constraints on $Z^{\prime }$ Boson within Minimal Flavor Violation
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• $B_{s,d}-{\bar{B}}_{s,d}$ mixings and $B_{s,d}\to {\ell }^{+}{\ell }^{-}$ decays within the Manohar-Wise model
• Constraints on Two Higgs Doublet Model Parameters in the light of rare $B$-Decays
• One-loop considerations for coexisting vacua in the CP conserving 2HDM
• Relations between $b\to c\tau \nu$ Decay Modes in Scalar Models
• Implications Of The Higgs Discovery On Physics Beyond The Standard Model