Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

被引：81
|
作者：
Luo, Ming-xing [1 ]
Yang, Tong-Zhi [1 ]
Zhu, Hua Xing [1 ]
Zhu, Yu Jiao [1 ]
机构：
[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Peoples R China
来源：
PHYSICAL REVIEW LETTERS | 2020年 / 124卷 / 09期
基金：
中国国家自然科学基金;
关键词：
3-LOOP SPLITTING FUNCTIONS; HIGGS-BOSON; DIFFERENTIAL-EQUATIONS; MOMENTUM DISTRIBUTION; FEYNMAN-INTEGRALS; CROSS-SECTIONS; EVOLUTION; QCD; IMPLEMENTATION; RESUMMATION;
D O I：
10.1103/PhysRevLett.124.092001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：8
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