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.

引用

页数：8

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