Sudakov Effects in Higgs Production at the LHC

We discuss the resummation of Sudakov effects in a cross section from the viewpoint of its underlying factorization near the edge of phase space. We perform the resummation of Sudakov threshold logarithms in Higgs (Standard Model and Minimal Supersymmetric SM) production at the LHC, using an evolution equation in the Higgs mass that is derived from this factorization. We extend the class of universal large terms that is resummed to include additional universal contributions, which, when included, help to reproduce the exact result to within a few percent for the full allowed range of Higgs boson masses in the SM and MSSM. Using the analytic resummed formula as a generating functional for approximate perturbation theory, we show results for next-to-next-to-leading order corrections in Higgs production, and find they are potentially sizable