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I present a unified approach to calculating the next-to-next-to-leading order(NNLO) soft and virtual QCD corrections to cross sections for electroweak,Higgs, QCD, and SUSY processes. I derive master formulas that can be used forany of these processes in hadron-hadron and lepton-hadron collisions. Theformulas are based on a unified threshold resummation formalism and can beapplied to both total and differential cross sections for processes with eithersimple or complex color flows and for various factorization schemes andkinematics. As a test of the formalism, I rederive known NNLO results forDrell-Yan and Higgs production, deep inelastic scattering, and W+ gammaproduction, and I obtain expressions for several two-loop anomalous dimensionsand other quantities needed in next-to-next-to-leading-logarithm (NNLL)resummations. I also present new results for the production of supersymmetriccharged Higgs bosons; massive electroweak vector bosons; photons; heavy quarksin lepton-hadron and hadron-hadron collisions and in flavor-changing neutralcurrent processes; jets; and squarks and gluinos. The NNLO soft and virtualcorrections are often dominant, especially near threshold. Thus, a unifiedapproach to these corrections is important in the search for new physics atpresent and future colliders.Comment: 26 pages LaTe

A UNIFIED APPROACH TO NNLO SOFT AND VIRTUAL CORRECTIONS IN ELECTROWEAK, HIGGS, QCD, AND SUSY PROCESSES