Work

The four-loop non-singlet splitting functions in QCD

Year: 2026

Type: preprint

Abstract: The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial results and obtain, for the first time, fully analytic expressions for all non-singlet contributions at this order. These allow us to extract the analytic form of the four-loop virtual and rapidity anomalous dimensions entering logarithmic resummation. We provide precise numerical representations of the splitting functions suitable for parton evolution.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.09534

Authors: Gehrmann, Thomas, von Manteuffel, Andreas, Sotnikov, Vasily, Yang, Tong-Zhi

Institutions: University of Zurich, University of Regensburg, South China Normal University, Key Laboratory of Guangdong Province

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Award: G2124226988

OpenAlex ID: W7153971573

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