Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass

In this Letter we present the three-loop virtual corrections to the Higgs boson production in the gluon fusion channel where finite top quark mass effects are taken into account. We perform an asymptotic expansion and manage to evaluate five terms in the expansion parameter M-H(2)/M-t(2). A good convergence is observed almost until M-H approximate to 2M(t). (C) 2009 Elsevier B.V. All rights reserved.