2008/07/04 by Johannes Blümlein, Johannes Bluemlein
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph #math-ph #math.AG #math.MP
paper · pdf · doi:10.1016/j.nuclphysbps.2008.09.109
published as Nucl.Phys.Proc.Suppl.183:232-237,2008 · 6 pages, to appear in the Proceedings "Loops and Legs in Quantum Field Theory 2008", Sondershausen, Germany
arxiv created 2008/07/04 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the structural relations between nested harmonic sums emerging in the description of physical single scale quantities up to the 3--loop level in renormalizable gauge field theories. These are weight \sf w=6 harmonic sums. We identify universal basic functions which allow to describe a large class of physical quantities and derive their complex analysis. For the 3--loop QCD Wilson coefficients 35 basic functions are required, whereas a subset of 15 describes the 3--loop anomalous dimensions.