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We compute the one-loop corrections to $\sigma(e^+ e^- \to Z h)$ arising fromrepresentative extended Standard Model scalar sector scenarios. According tothe new scalar $\mathrm{SU(2)_L}$ representations, we consider the inertdoublet, real and complex triplet, quintuplet, and septuplet models. With thesub-percent level precision expected for prospective future $e+e-$ collidermeasurements of $\sigma(e^+ e^- \to Z h)$, studies of the Higgsstrahlungprocess will probe extended scalar sector particle spectrum and interactions ina manner complementary to direct searches at the Large Hadron Collider andpossible future $pp$ colliders. We also compare with the sensitivity of futureHiggs diphoton decay rate measurements. We find that the $\sigma(e^+ e^- \to Zh)$ and $\Gamma(h\to\gamma\gamma)$ complementarity is particularly pronouncedfor the complex triplet model.

Probing Extended Scalar Sectors with Precision $e^+e^-\to Zh$ and Higgs Diphoton Studies