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We calculate radiative corrections to a full set of coupling constants forthe 125 GeV Higgs boson at the one-loop level in two Higgs doublet models withfour types of Yukawa interaction under the softly-broken discrete $Z_2$symmetry. The renormalization calculations are performed in the on-shellscheme, in which the gauge dependence in the mixing parameter which appears inthe previous calculation is consistently avoided. We first show the details ofour renormalizaton scheme, and present the complete set of the analyticformulae of the renormalized couplings. We then numerically demonstrate how theinner parameters of the model can be extracted by the future precisionmeasurements of these couplings at the high luminosity LHC and theInternational Linear Collider.

Fingerprinting the extended Higgs sector using one-loop corrected Higgs boson couplings and future precision measurements