Work

Lattice-QCD Computable Quark Correlation Functions at Three-Loop Order and Extraction of Splitting Functions

Year: 2025

Type: article

Abstract: We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor nonsinglet parton distribution functions with lattice QCD computable correlation functions. By using this high-order result, we notice a reduction in theoretical uncertainties compared to relying solely on previously known lower-order matching coefficients. Furthermore, based on this result we have extracted the three-loop unpolarized flavor nonsinglet splitting function, which is in agreement with the state-of-the-art result. Because of the simplicity of our method, it has the potential to advance the calculation of splitting functions to the desired four-loop order.

Source: Physical Review Letters

DOI: 10.1103/53ys-3n19

Authors: Chen Cheng, Li-Hong Huang, Xiang Li, Zheng-Yang Li, Yan-Qing Ma

Institutions: Peking University, Thomas Jefferson National Accelerator Facility

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: U.S. Department of Energy, National Natural Science Foundation of China, Peking University, National Key Research and Development Program of China