QCD corrections to Higgs boson production: Nonleading terms in the heavy quark limit

We compute analytic results for the QCD corrections to Higgs boson production via gluon fusion in hadronic collisions in the limit in which the top quark is much heavier than the Higgs boson. The first nonleading corrections of $O\left(\frac{{\alpha }_s^3{M}_H^2}{m_t^2}\right)$ are given and numerical results presented for both CERN LHC and SSC energies. We confirm earlier numerical results showing that the dominant corrections have the same mass dependence as the Born cross section.