The role of zero-mode contributions in the matching for the twist-3 PDFs e(x) and hL(x)
The role of zero-mode contributions in the matching for the twist-3 PDFs e(x) and hL(x)
复制标题
DOI：
10.1103/physrevd.102.114025
复制
发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
S. Bhattacharya;K. Cichy;M. Constantinou;A. Metz;Aurora Scapellato;F. Steffens
中科院分区：
文献类型：
--
作者：
S. Bhattacharya;K. Cichy;M. Constantinou;A. Metz;Aurora Scapellato;F. Steffens
提出了微扰匹配过程，将格点QCD中可计算的部分子准分布与相应的进入物理过程的光锥分布联系起来。这样的匹配过程到目前为止仅限于twist-2分布。最近，我们解决了twist-3 PDF $g_T（x）$的匹配问题。在这项工作中，我们将我们的微扰计算扩展到剩余的twist-3 PDF，$e（x）$和$h_{L}（x）$。特别是，我们讨论了非平凡的奇异零模贡献的准PDF的计算。
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.