Electroweak Corrections to $\mathbf{e^+ e^- \to \nu \bar{\nu} H}$ and $\mathbf{e^+ e^- \to t \bar{t} H}$

Abstract

The most interesting Higgs-production processes at future e⁺ e^– colliders belong to the process class ${\mathrm {e^+}} {\mathrm {e^{-}}} \to f \bar{f} {\mathrm H}$. We study the full ${{{\cal{O}}(\alpha)}}$ corrections to this reaction in the Standard Model for neutrinos and top quarks in the final state. Leading higher-order corrections from initial-state radiation and QCD corrections are also taken into account. Although cancellations between the different kinds of corrections occur, the full corrections are of the order of ± 10% and thus important ingredients in the theoretical predictions for future e⁺ e^– colliders.

PACS: 12.15.Lk Electroweak radiative corrections