Multiparton webs beyond three loops

• Published in: The journal of high energy physics Vol. 2020; no. 5; pp. 1 - 52
• Main Authors: Agarwal, Neelima, Danish, Abhinava, Magnea, Lorenzo, Pal, Sourav, Tripathi, Anurag
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2020; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Correlators; Elementary Particles; Feynman diagrams; Gluons; High energy physics; NLO Computations; Operators (mathematics); Partons; Perturbation theory; Physics; Physics and Astronomy; QCD Phenomenology; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Sum rules; Webs; NLO Computations; QCD Phenomenology
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP05(2020)128

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.