Effects of SUSY-QCD in hadronic Higgs production at next-to-next-to-leading order

An estimate of the NNLO supersymmetric QCD effects for Higgs production at hadron colliders is given. Assuming an effective gluon-Higgs interaction, these corrections enter only in terms of process-independent, factorizable terms. We argue that the current knowledge of these terms up to NLO is sufficient to derive the NNLO hadronic cross section within the limitations of the standard theoretical uncertainties arising mainly from renormalization and factorization scale variations. The SUSY contributions are small with respect to the QCD effects, which means that the NNLO corrections to Higgs production are very similar in the Standard Model and the MSSM