Abstract
We present the cross section for e^{+}e^{-}rightarrow hZ with arbitrary sets of electron and Z boson polarizations at the full next-to-leading order in various extended Higgs models, such as the Higgs singlet model (HSM), the inert doublet model (IDM) and the two Higgs doublet model (2HDM). We systematically perform complete one-loop calculations to the helicity amplitudes in the on-shell renormalization scheme, and present the full analytic results as well as numerical evaluations. The deviation Delta R^{hZ} in the total cross section from its standard model (SM) prediction is comprehensively analyzed, and the differences among these models are discussed in details. We find that new physics effects appearing in the renormalized hZZ vertex almost govern the behavior of Delta R^{hZ}, and it takes a negative value in most cases. The possible size of Delta R^{hZ} reaches several percent under the theoretical and experimental bounds. We also analyze the deviation Delta R^{hZ}_{XY} in the total cross section times decay branching ratios of the discovered Higgs boson by utilizing the H-COUP program. It is found that the four types of 2HDMs can be discriminated by analyzing the correlation between Delta R^{hZ}_{tau tau } and Delta R^{hZ}_{bb} and those between Delta R^{hZ}_{tau tau } and Delta R^{hZ}_{cc}. Furthermore, the HSM and the IDM can be discriminated from the 2HDMs by measuring Delta R^{hZ}_{WW}. These signatures can be tested by precision measurements at future Higgs factories such as the International Linear Collider.
Highlights
R hZ XY in the total cross section times decay branching ratios of the discovered Higgs boson by utilizing the H-COUP program
In addition to the direct searches, extended Higgs sectors can be indirectly explored by measuring various properties of the discovered Higgs boson such as cross sections, the width and decay branching ratios because mixings of Higgs bosons and/or radiative corrections of additional Higgs bosons would modify them from their standard model (SM) values
Accuracy of the measurement of Higgs boson couplings is expected to be improved at the highluminosity LHC (HL-LHC) and further significantly at future lepton colliders; e.g., the International Linear Collider (ILC) [26,27,28,29], the Future Circular Collider (FCC-ee) [30] and the Circular Electron Positron Collider (CEPC) [31]
Summary
We briefly review the HSM, the 2HDM and the IDM. Before moving on to the discussion on each extended Higgs model, we review concepts of general constraints on parameter spaces that are independent of models. We define the extended Higgs models in order
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