Higgs production in gluon fusion to order \alpha_s^4
  The calculation of the NNLO QCD corrections to the partonic process gg -> H is outlined. For the coupling of the Higgs boson to the gluons we use an effective Lagrangian in the limit of a heavy top quark. The focus is on the evaluation of the virtual two-loop corrections. It is shown that the leading pole terms are in agreement with the general formula by Catani. 
Robert Harlander and William Kilgore