2020/03/31 by Neelima Agarwal, Abhinava Danish, Lorenzo Magnea +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Dimension (graph theory) #Feynman diagram #Gauge (firearms) #Gauge theory #Gluon #Logarithm #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Scattering amplitude #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep05(2020)128
Published version; Published in JHEP; 51 pages, 65 figures
openalex created_date 2020/03/27 · openalex publication_date 2020/05/26 · arxiv created 2021/06/21 · arxiv updated 2021/06/22 · openalex updated_date 2026/08/05
A bstract Correlators of Wilson-line operators are fundamental ingredients for the study of the infrared properties of non-abelian gauge theories. In perturbation theory, they are known to exponentiate, and their logarithm can be organised in terms of collections of Feynman diagrams called webs . We study the classification of webs to high perturbative orders, proposing a set of tools to generate them recursively: in particular, we introduce the concept of Cweb , or correlator web , which is a set of skeleton diagrams built with connected gluon correlators, instead of individual Feynman diagrams. As an application, we enumerate all Cwebs entering the soft anomalous dimension matrix for multi-parton scattering amplitudes at four loops, and we compute the mixing matrices for all Cwebs connecting four or five Wilson lines at that loop order, verifying that they obey sum rules that were derived or conjectured in the literature. Our results provide the colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.