Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections

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Abstract
Top quark mass suppressed terms are calculated for the virtual amplitude for Higgs production in gluon fusion at three-loop level, i.e. O(\alpha_s^3). The method of asymptotic expansions in its automated form is used to evaluate the first three non-vanishing orders in terms of M_H^2/M_t^2, where the first order corresponds to the known results of the effective Lagrangian approach.