Higgs production in gluon fusion at NNLO for finite top quark mass

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The evaluation of the top quark mass suppressed terms to the Higgs production cross section in gluon fusion at next-to-next-to-leading order is reported on. In the region below threshold, the Feynman diagrams are evaluated using asymptotic expansions. The result is then matched to the high-energy limit derived from kT factorization. The result shows that the heavy-top limit used so far approximates the full result to better than 1%.