Luo Ming-Xing, Yang Tong-Zhi, Zhu Hua Xing, Zhu Yu Jiao
Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China.
Phys Rev Lett. 2020 Mar 6;124(9):092001. doi: 10.1103/PhysRevLett.124.092001.
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 nonstandard 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.
我们报告了在 QCD 中次下下领先阶对夸克的横向动量依赖的部分子分布函数的微扰匹配系数的计算，这涉及到具有快度发散的非标准费曼积分的计算。我们引入了一组广义分部积分方程，这使得能够使用现代费曼积分计算的机制对这类积分进行算法评估。
