Chasing the Two-Higgs-Doublet Model via Electroweak Corrections at e$^+$e$^−$ Colliders

We present a comprehensive study of Higgs boson production associated with a neutrino pair at e$^+$e$^−$−colliders (e$^+$e$^−$→hν$\bar{v}$) at next-to-leading-order accuracy in both the standard model and the two-Higgs-doublet model. We show that these new physics effects will be observable in total and differential crosssections when compared with theoretical predictions that include electroweak corrections, even in the Higgs alignment limit. This highlights the potential of precision studies at future e$^+$e$^−$− colliders for searching new physics.