Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
Ming-xing Luo, Tong-Zhi Yang, Hua Xing Zhu, and Yu Jiao Zhu
TL;DR
This paper presents a high-precision calculation of quark transverse parton distribution functions at the N3LO level in QCD, employing advanced integral evaluation techniques for complex Feynman integrals.
Contribution
It introduces a novel set of generalized IBP equations enabling the systematic computation of non-standard Feynman integrals with rapidity divergence at N3LO.
Findings
Calculation of N3LO matching coefficients for quark TMD PDFs
Development of a new algorithmic approach for complex Feynman integrals
Enhanced precision in QCD parton distribution modeling
Abstract
We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard Feynman integrals with rapidity divergence. We introduce a set of generalized Integration-By-Parts equations, which allows an algorithmic evaluation of such integrals using the machinery of modern Feynman integral calculation.
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