论文标题

零模式贡献在Twist-3 PDFS $ e(x)$和$ H_ {l}(x)$的匹配中的作用

The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_{L}(x)$

论文作者

Bhattacharya, Shohini, Cichy, Krzysztof, Constantinou, Martha, Metz, Andreas, Scapellato, Aurora, Steffens, Fernanda

论文摘要

提出了匹配的扰动过程,以将晶格QCD中可计算的Parton准分子分布连接到输入物理过程的相应的轻锥分布。到目前为止,这样的匹配过程仅限于Twist-2分布。最近,我们讨论了Twist-3 PDF $ G_T(X)$的匹配。在这项工作中,我们将扰动计算扩展到其余的Twist-3 PDF,$ e(x)$和$ h_ {l}(x)$。特别是,我们讨论了准-PDF的奇异零模式贡献计算所涉及的非客气性。

The perturbative procedure of matching was proposed to connect parton quasi-distributions that are calculable in lattice QCD to the corresponding light-cone distributions which enter physical processes. Such a matching procedure has so far been limited to the twist-2 distributions. Recently, we addressed the matching for the twist-3 PDF $g_T(x)$. In this work, we extend our perturbative calculations to the remaining twist-3 PDFs, $e(x)$ and $h_{L}(x)$. In particular, we discuss the non-trivialities involved in the calculation of the singular zero-mode contributions for the quasi-PDFs.

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