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The contributions of virtual corrections and soft gluon emission to theinclusive Higgs production cross section pp -> H + X are computed atnext-to-next-to-leading order in the heavy top quark limit. We show that thispart of the total cross section is well behaved in the sense of perturbativeconvergence, with the NNLO corrections amounting to an enhancement of the NLOcross section by \sim 5% for LHC and 10-20% for the Tevatron. We compare ourresults with an existing estimate of the full NNLO effects and argue that ananalytic evaluation of the hard scattering contributions is needed.Comment: 16 pages, 7 figures, 16 ps files embedded with epsf. Minor  modifications: references and note added, results unchange

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Soft and virtual corrections to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>H</mml:mi><mml:mo>+</mml:mo><mml:mi>X</mml:mi></mml:math>at next-to-next-to-leading order

Soft and virtual corrections topp→H+Xat next-to-next-to-leading order