Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles

2006/07/27 by S. Mert Aybat, Lance J. Dixon, George Sterman · 13 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Gluon #High-Energy Particle Collisions Research #Logarithm #Loop (graph theory) #Massless particle #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Notation #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum chromodynamics #Resummation #hep-ph

paper · pdf · doi:10.1103/physrevd.74.074004

published as Phys.Rev.D74:074004,2006 · 52 pages, revtex, 4 eps figures

arxiv created 2006/07/27 · openalex publication_date 2006/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We extend the resummation of dimensionally regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that they are proportional to the corresponding one-loop matrices. Using the color-generator notation, we reproduce the two-loop single-pole quantities H⁽²⁾ introduced by Catani for quark and gluon elastic scattering. Our results also make possible threshold and a variety of other resummations at next-to-next-to-leading logarithm. All of these considerations apply to 2\ensuremath→n processes with massless external lines.

Citations

• Virtual corrections to gg→H to two loops in the heavy top limit
• Effects of higher-order threshold corrections in high-ETjet production
• Evolution of color exchange in QCD hard scattering
• Threshold resummation for dijet cross sections
• The two-loop QCD matrix element for e+e−→3 jets
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
• Infrared behavior of non-Abelian gauge theories. II
• Two-loop QCD corrections to gluon–gluon scattering
• Symmetry of anomalous dimension matrices for colour evolution of hard scattering processes
• Higher orders inA(αs)/[1−x]+of nonsinglet partonic splitting functions

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• Iterating QCD scattering amplitudes in the high-energy limit
• On soft singularities at three loops and beyond
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• Two-Loop Divergences of QCD Scattering Amplitudes with Massive Partons
• Building bases of loop integrands
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
• Multiparton webs beyond three loops
• The massive soft anomalous dimension matrix at two loops
• RVV×V: Interference contributions to inclusive Higgs boson and Drell-Yan production at N⁴LO in QCD