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DOE OSTI · 2570595

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

Cheng, Chen [Peking University, Beijing (China)] (ORCID:0009000410866083)·Huang, Li-Hong [Peking University, Beijing (China)] (ORCID:0009000167068128)·Li, Xiang [Peking University, Beijing (China)] (ORCID:0009000949461469)·Li, Zheng-Yang [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)]·Ma, Yan-Qing [Peking University, Beijing (China)] (ORCID:0000000157953791)
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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.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSlattice QCDparton distribution functionsperturbative QCDstrong interaction

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Cheng, Chen [Peking University, Beijing (China)] (ORCID:0009000410866083), Huang, Li-Hong [Peking University, Beijing (China)] (ORCID:0009000167068128), Li, Xiang [Peking University, Beijing (China)] (ORCID:0009000949461469), Li, Zheng-Yang [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)], Ma, Yan-Qing [Peking University, Beijing (China)] (ORCID:0000000157953791). 2025-06-24. Lattice-QCD Computable Quark Correlation Functions at Three-Loop Order and Extraction of Splitting Functions. https://doi.org/10.1103/53ys-3n19

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