Renormalization of twist-two operators in covariant gauge to three loops in QCD

• Published in: The journal of high energy physics Vol. 2023; no. 4; pp. 41 - 62
• Main Authors: Gehrmann, Thomas, von Manteuffel, Andreas, Yang, Tong-Zhi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 11.04.2023; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Deep Inelastic Scattering or Small-x Physics; Distribution functions; Elementary Particles; Gluons; High energy physics; Higher-Order Perturbative Calculations; Mathematical analysis; Operators (mathematics); Partons; Physics; Physics and Astronomy; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quantum numbers; Quantum Physics; Quarks; Regular Article - Theoretical Physics; Relativity Theory; Renormalization and Regularization; Scattering cross sections; String Theory; Renormalization and Regularization; Deep Inelastic Scattering or Small-x Physics; Higher-Order Perturbative Calculations

A bstract The leading short-distance contributions to hadronic hard-scattering cross sections in the operator product expansion are described by twist-two quark and gluon operators. The anomalous dimensions of these operators determine the splitting functions that govern the scale evolution of parto...