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I review recent advances in the calculation of higher-order soft-gluoncorrections for a variety of QCD, Higgs, and SUSY processes in hadroncolliders. A unified approach and master formulas for next-to-next-to-leadingorder soft and virtual corrections are discussed. I present some applicationsof the formalism to top quark pair production at the Tevatron and the LHC, topproduction via anomalous couplings in flavor-changing neutral-currentprocesses, W boson hadroproduction at large transverse momentum, and chargedHiggs production at the LHC.Comment: 15 pages, 5 figures, invited review for Modern Physics Letters

NEXT-TO-NEXT-TO-LEADING ORDER SOFT AND VIRTUAL CORRECTIONS FOR QCD, HIGGS AND SUSY PROCESSES