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arXiv 1801.05930hep-ph
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与横动量相关的准部分子分布

Transverse Momentum Dependent Quasi-Parton-Distributions

Xiangdong Ji, Lu-Chang Jin, Feng Yuan, Jian-Hui Zhang, Yong Zhao

摘要:

在准部分子分布框架下研究了横向动量相关的部分子分布。TMD定义中的类空规范链的“箍缩极奇异性”长期存在的障碍可以通过规范链沿强子运动方向的有限长度来解决。此外,通过引入软因子,准TMD不存在线性发散。我们进一步证明了准TMD的能量演化方程a.k.a. Collins-Soper演化只依赖于强子动量。这导致准TMD和标准TMD之间的明确匹配。

英文摘要:

We investigate the transverse momentum dependent parton distributions (TMDs) in the quasi-parton-distribution framework. The long standing hurdle of the so-called pinch pole singularity from the space-like gauge links in the TMD definitions can be resolved by the finite length of the gauge link along the hadron moving direction. In addition, with the soft factor subtraction, the quasi-TMD is free of linear divergence. We further demonstrate that the energy evolution equation of the quasi-TMD a.k.a. the Collins-Soper evolution, only depends on the hadron momentum. This leads to a clear matching between the quasi-TMD and the standard TMDs.

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