1: Title page. 2: Gluon fusion has the largest cross section at the LHC. 3: Many discovery modes are based on gluon fusion... 4: ...but we have seen channels come and go. 5: For example, Higgs Strahlung, both at Tevatron and LHC. 6: Fortunately, NNLO QCD and EW corrections for Higgs Strahlung are known. 7: Gluon fusion: pros and cons. 8: Heavy top limit in Gluon fusion: LO, naive application. 9: Heavy top limit in Gluon fusion: NLO, factoring out LO mt-dependence - why does it work so well? 10: Gluon fusion cross section through NNLO: large corrections, but good convergence. 11: Effects of soft gluon resummation are small -> are they really the dominant source of radiative corrections? 12: pi^2 resummation - debated. 13: QCD corrections to gluon fusion - summary. Motivation for EW corrections. 14: EW corrections for gluon fusion. 15: QCD/EW corrections for gluon fusion: stricly valid only for MhH intro; collinear logarithms can be resummed by introducing bottom parton densities. 39: LO comparison of the 5-flavor-scheme (5-FNS, bb->H) to the 4-flavor-scheme (4-FNS, gg->bbH) description (plot from M. Kraemer). Agreement is found only for small factorization scales. 40: In the 5-FNS, the scale dependence becomes almost irrelevant once NNLO corrections are included. The perturbative behavior also suggests a low natural factorization scale. 41: Conclusions.