Two-loop electroweak corrections to Higgs production in proton-proton collisions

We study the impact of the two-loop electroweak corrections on the production of a Higgs boson via gluon-fusion in proton-proton collisions at LHC energies. We discuss the prescritpion to include the corrections to the hard scattering matrix element in the calculation of the hadronic cross-section sigma (p+p\to H+X). Under the hypothesis of factorization of the electroweak corrections with respect to the dominant soft and collinear QCD radiation, we observe an increase of the total cross-section from 4 to 8 %, for MH <=160 GeV. This increase is comparable with the present QCD uncertainties originating from hard scattering matrix elements.