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We compute the O(alpha_s) QCD corrections to the inclusive process e^+e^- -->t \bar t h. Although the total rate is small, it has a distinctive experimentalsignature and can potentially be used to measure the top quark-Higgs bosonYukawa coupling. The QCD corrections increase the rate by a factor of roughly1.5 for e^+e^- --> t \bar t h at sqrt(s)=500 GeV and Mh=100 GeV. At sqrt(s)=1TeV, the corrections are small.Comment: 18 pages, 11 figures, version to appear in Phys. Rev.

QCD corrections to associated Higgs-boson–heavy-quark production