QCD Corrections to Associated Higgs Boson Production

We compute QCD corrections to the processes $e^+e^-\to t \bar t h^0$ and $pp\to t \bar t h^0$ by treating the Higgs boson as a parton which radiates off a heavy quark. This approximatiion is valid in the limits $M_h<<M_t$ and $M_h, M_t<<\sqrt{s}$. The corrections increase the rate for $pp\to t \bar t h^0$ at the LHC by a factor of 1.2 to 1.5 over the lowest order rate for an intermediate mass Higgs boson, $M_h < 180 GeV$. The QCD corrections are small for $e^+e^-\to t \bar t h^0$ at $\sqrt{s}=1 TeV$.