  We consider Higgs + 2 jet production via gluon fusion in the limit where
either one of the Higgs-jet or the dijet invariant masses become much larger
than the typical momentum transfers in the scattering. These limits also occur
naturally in Higgs production via weak-boson fusion. We show that the
scattering amplitudes factorize in the high energy limit, and we obtain the
relevant effective vertices.
