QCD Corrections to Higgs Boson Production

We discuss the ${\cal O}(\alpha_s)$ QCD radiative corrections to Higgs boson production in the limit in which the top quark is much heavier than the Higgs boson. The subleading corrections, of ${\cal O} (\alpha_s M_H^2/M_{\rm top}^2)$, are presented for the decay $H\rightarrow \gamma\gamma$ and shown to be small.