Methods for multiloop calculations and Higgs boson production at the LHC

The main topics of this thesis are Higgs boson production and the program package TopoID. We calculated results for all collinear counterterms up to N3LO. For a particular class of triple-real integrals we obtained results with full dependence on x. TopoID is designed to be a process independent tool for topology identification, FORM code generation and finding non-trivial relations among integrals that remain after applying a reduction algorithm.