Future Higgs factories can reach impressive precision on Higgs propertymeasurements. In this paper, instead of conventional focus of Higgs precisionin certain interaction bases, we explored its sensitivity to new physics modelsat the electron-positron colliders. In particular, we studied two categories ofnew physics models, Standard Model (SM) with a real scalar singlet extension,and Two Higgs Double Model (2HDM) as examples of weakly-interacting models,Minimal Composite Higgs Model (MCHM) and three typical patterns of the moregeneral operator counting for strong interacting models as examples of strongdynamics. We performed a global fit to various Higgs search channels to obtainthe 95% C.L. constraints on the model parameter space. In the SM with a singletextension, we obtained the limits on the singlet-doublet mixing anglesin(theta), as well as the more general Wilson coefficients of the inducedhigher dimensional operators. In the 2HDM, we analyzed tree level effects intan(beta) vs. cos(beta-alpha) plane, as well as the one-loop contributions fromthe heavy Higgs bosons in the alignment limit to obtain the constraints onheavy Higgs masses for different types of 2HDM. In strong dynamics models, weobtained lower limits on the strong dynamics scale. In addition, oncedeviations of Higgs couplings are observed, they can be used to distinguishdifferent models. We also compared the sensitivity of various future Higgsfactories, namely Circular Electron Positron Collider (CEPC), Future CircularCollider (FCC)-ee and International Linear Collider (ILC).
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