2009/03/20 by Alexander Mitov, George Sterman, Ilmo Sung
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Black Holes and Theoretical Physics #Combinatorics #Diagonal #Dimension (graph theory) #Euclidean space #Gauge theory #Geometry #Loop (graph theory) #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Resummation #Space (punctuation) #Wilson loop #hep-ph
paper · pdf · doi:10.1103/physrevd.79.094015
published as Phys.Rev.D79:094015,2009 · 7 pages, 3 figures, revtex
arxiv created 2009/03/20 · openalex publication_date 2009/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study two-loop anomalous dimension matrices in QCD and related gauge theories for products of Wilson lines coupled at a point. We verify by an analysis in Euclidean space that the contributions to these matrices from diagrams that link three massive Wilson lines do not vanish in general. We show, however, that for two-to-two processes the two-loop anomalous dimension matrix is diagonal in the same color-exchange basis as the one-loop matrix for arbitrary masses at absolute threshold and for scattering at 90 degrees in the center of mass. This result is important for applications of threshold resummation in heavy quark production.