2003/03/21 by Nikolaos Kidonakis · 2 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Drell–Yan process #Electron #Electroweak interaction #Higgs boson #High-Energy Particle Collisions Research #Lepton #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum chromodynamics #Quark #Resummation #hep-ex #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217751x04018294
published as Int.J.Mod.Phys. A19 (2004) 1793-1821 · 26 pages LaTeX
arxiv created 2003/03/21 · openalex publication_date 2004/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 for any of these processes in hadron–hadron and lepton–hadron collisions. The formulas are based on a unified threshold resummation formalism and can be applied to both total and differential cross-sections for processes with either simple or complex color flows and for various factorization schemes and kinematics. As a test of the formalism, I rederive known NNLO results for Drell–Yan and Higgs production, deep inelastic scattering, and W + γ production, and I obtain expressions for several two-loop anomalous dimensions and other quantities needed in next-to-next-to-leading-logarithm (NNLL) resummations. I also present new results for the production of supersymmetric charged Higgs bosons; massive electroweak vector bosons; photons; heavy quarks in lepton–hadron and hadron–hadron collisions and in flavor-changing neutral current processes; jets; and squarks and gluinos. The NNLO soft and virtual corrections are often dominant, especially near threshold, and they reduce the scale dependence of the cross-section. Thus, a unified approach to these corrections is important in the search for new physics at present and future colliders.