Transverse parton distribution and fragmentation functions at NNLO: the gluon case

被引:47
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
基金
中国国家自然科学基金;
关键词
Perturbative QCD; Effective Field Theories; Resummation; TO-LEADING ORDER; MOMENTUM RESUMMATION; BOSON PRODUCTION; HIGGS-BOSON; BACK JETS; EVOLUTION; IMPLEMENTATION; DENSITIES; BEHAVIOR; QUARK;
D O I
10.1007/JHEP01(2020)040
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We calculate in this paper the perturbative gluon transverse momentum dependent parton distribution functions (TMDPDFs) and fragmentation functions (TMDFFs) using the exponential regulator for rapidity divergences. We obtain results for both unpolarized and linearly polarized distributions through next-to-next-to leading order in strong coupling constant, and through O(2) in dimensional regulator. We find a nontrivial momentum conservation sum rule for the linearly polarized component for both TMDPDFs and TMDFFs in the N = 1 super-Yang-Mills theory. The TMDFFs are used to calculate the two-loop gluon jet function for the energy-energy correlator in Higgs gluonic decay in the back-to-back limit.
引用
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页数:32
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