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arXiv 2005.10939hep-phhep-lat
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twist-3部分子分布 $g_T(x)$ 的单圈匹配

One-loop matching for the twist-3 parton distribution $g_T (x)$

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

AI总结:

本文首次计算 twist-3 部分子分布 $g_T(x)$ 的单圈匹配系数,采用三种红外调节器与维数正规化,并给出两种方案下的重整化结果。

摘要:

微扰匹配将由有限强子动量下的欧几里得关联子定义的部分子准分布,与实验中可获取的光锥分布联系起来。以往的匹配计算完全集中于 twist-2 分布。在本工作中,我们首次处理 twist-3 部分子分布函数 $g_T(x)$ 的单圈匹配。结果通过三种不同的红外调节器获得,同时采用维数正规化处理紫外发散。我们给出了 $g_T(x)$ 匹配系数在 $\overline{\rm MS}$ 和修正 $\overline{\rm MS}$ 方案中的重整化表达式。我们还讨论了零模贡献所起的作用。我们的结果已被用于从格点 QCD 计算中提取 $g_T(x)$。

英文摘要:

Perturbative matching relates the parton quasi-distributions, defined by Euclidean correlators at finite hadron momenta, to the light-cone distributions which are accessible in experiments. Previous matching calculations have exclusively focused on twist-2 distributions. In this work, we address, for the first time, the one-loop matching for the twist-3 parton distribution function $g_T(x)$. The results have been obtained using three different infrared regulators, while dimensional regularization has been adopted to deal with the ultraviolet divergences. We present the renormalized expressions of the matching coefficient for $g_{T}(x)$ in the $\overline{\rm MS}$ and modified $\overline{\rm MS}$ schemes. We also discuss the role played by a zero-mode contribution. Our results have already been used for the extraction of $g_T(x)$ from lattice QCD calculations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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