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We compute the full one-loop radiative corrections (including both weak andQED corrections) for two processes $e^{+}e^{-}\to Z h^0,H^0 A^{0}$ in the InertHiggs Doublet model (IHDM). Up to $O(\alpha_{w})$ and $O(\alpha_{em})$ order,we use FeynArts/FormCalc to compute the one-loop virtual corrections andFeynman Diagram Calculation (FDC) to evaluate the real emission, respectively.Being equipped with these computing tools, we investigate radiative correctionsof new physics for both the degenerate and non-degenerate scenarios with threetypical collision energies of future electron-positron colliders: 250 GeV, 500GeV, and 1000GeV. By scanning the parameter space of IHDM, we identify theallowed regions which are consistent with constraints and bounds, from boththeoretical and experimental sides. We find that the radiative corrections ofthe IHDM to $e^+ e^- \to Z h^0$ can be sizeable and are within the detectionpotentials of future Higgs factories. We also find that the new physics of IHDMcould also be directly detected by observing the process $e^{+}e^{-}\to H^0A^{0} $ which could have large enough production rate. We propose fivebenchmark points and examine their salient features which can serve as physicstargets for future electron-positron colliders, such as CEPC/CLIC/FCC-ee/ILC aswell as for LHC.

One-loop radiative corrections to $e^+ e^-\to Zh^0/H^0A^0$ in the Inert Higgs Doublet Model