  We present a calculation of the two-loop helicity amplitudes for the
processes H-->ggg and H-->gqqbar in the large-M_t limit. In this limit the
calculation can be performed in terms of one-loop diagrams containing an
effective Hgg operator. These amplitudes are required for the next-to-leading
order (NLO) corrections to the Higgs transverse momentum distribution and the
next-to-next-to-leading order (NNLO) corrections to the Higgs production cross
section via the gluon fusion mechanism.
