论文标题
将欧几里得连接到轻锥相关：从前向运动学的非风味到非前瞻性运动学中的singlet
Connecting Euclidean to light-cone correlations: From flavor nonsinglet in forward kinematics to flavor singlet in non-forward kinematics
论文作者
论文摘要
我们提出了一个将欧几里得相关性与轻锥相关性连接的扰动分解框架的统一框架。从非本地夸克和Gluon双线性相关器开始，我们将相关的硬匹配内核推导到近代领先的订单，无论是在非前向和前进的运动学和坐标和动量空间中，无论是风味的单元和非单词组合，都用于风味单元和非单词组合。通过选择适当的运动学来获得广义分布函数（GPD），Parton分布函数（PDF）和分布幅度（DAS）的结果。重新归一化和匹配是在最先进的方案中完成的。我们还阐明了文献中GPD的扰动匹配提出的一些问题。我们的结果提供了一份完整的手册，用于从坐标或动量空间分解方法中提取所有领先的GPD，PDF以及欧几里得相关晶格模拟的DA。
We present a unified framework for the perturbative factorization connecting Euclidean correlations to light-cone correlations. Starting from nonlocal quark and gluon bilinear correlators, we derive the relevant hard-matching kernel up to the next-to-leading-order, both for the flavor singlet and non-singlet combinations, in non-forward and forward kinematics, and in coordinate and momentum space. The results for the generalized distribution functions (GPDs), parton distribution functions (PDFs), and distribution amplitudes (DAs) are obtained by choosing appropriate kinematics. The renormalization and matching are done in a state-of-the-art scheme. We also clarify some issues raised on the perturbative matching of GPDs in the literature. Our results provide a complete manual for extracting all leading-twist GPDs, PDFs as well as DAs from lattice simulations of Euclidean correlations in a state-of-the-art strategy, either in coordinate or in momentum space factorization approach.
