Soft and virtual corrections to pp→H+X at next-to-next-to-leading order -: art. no. 013015

The contributions of virtual corrections and soft gluon emission to the inclusive Higgs boson production cross section pp-->H+X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section is well behaved in the sense of perturbative convergence, with the NNLO corrections amounting to an enhancement of the NLO cross section by similar to5% for the CERN LHC and 10-20% for the Fermilab Tevatron. We compare our results with an existing estimate of the full NNLO effects and argue that an analytic evaluation of the hard scattering contributions is needed.