论文标题

两环QCD校正的主积分到准PDF

Master Integrals for two-loop QCD corrections to Quasi PDFs

论文作者

Chen, Long-Bin, Wang, Wei, Zhu, Ruilin

论文摘要

我们在大动量有效理论中计算了两环QCD校正的主积分,以使得准Parton分布函数(PDF)。主积分的分析结果是使用微分方程方法得出的,以及适当的规范基础。主积分的结果是根据贡献多聚集体表示的。这些积分允许在大动量有效理论中提取准和光锥PDF之间的两环短匹配系数,并有助于从第一原理中提取核素PDF。

We compute the master integrals for two-loop QCD corrections to quasi parton distribution functions (PDFs) in large momentum effective theory. Analytical results of the master integrals are derived using the method of differential equations, along with a proper choice of canonical basis. The results of master integrals are expressed in terms of Goncharov polylogarithms. These integrals allow to extract the two-loop short-distance matching coefficients between quasi and light cone PDFs in large momentum effective theory, and are helpful to extract the nucleon PDFs from first principles.

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