论文标题
Twist-3 Parton分销$ G_T(X)$的一环匹配
One-loop matching for the twist-3 parton distribution $g_T (x)$
论文作者
论文摘要
扰动匹配将有限强调的欧几里得相关器定义为Parton准分子分布与在实验中可访问的轻锥分布相关。以前的匹配计算仅专注于扭曲2分布。在这项工作中,我们首次解决了Twist-3 Parton分配功能$ g_t(x)$的单层匹配。结果是使用三个不同的红外调节器获得的,而已采用尺寸正则化来处理紫外线差异。我们在$ \ overline {\ rm MS} $中介绍了$ g_ {t}(x)$的匹配系数的重归于匹配系数的表达式,并修改了$ \ overline {\ rm ms} $ schemes。我们还讨论了零模式贡献所起的作用。我们的结果已经用于从晶格QCD计算中提取$ g_t(x)$。
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.