论文标题
重新点亮夸克的纵向动量对数在lattice pdfs的叶片扩展中
Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
论文作者
论文摘要
在Parton分布功能（PDF）的大型大型扩张中，自然物理量表是大型摩尔植物强体中夸克（$ p_z $）的纵向动量（$ p_z $）。我们展示了如何通过在匹配系数中的$ \ ln^n p_z/μ$的重新点对数来揭示这种比例依赖性，其中$μ$是固定的重新规范化量表。 The result enhances the accuracy of the expansion at moderate $p_z>1$ GeV, and at the same time, clearly shows that the partons cannot be approximated from quarks with $p_z\sim Λ_{\rm QCD}$ which are not predominantly collinear with the parent hadron momentum, consistent with power counting of the large-momentum effective theory.相同的物理机制限制了在大距离$ z $的坐标空间扩展，即$ p_z $的偶联物，如适合PDFS时刻的示例所示。
In the large-momentum expansion for parton distribution functions (PDFs), the natural physics scale is the longitudinal momentum ($p_z$) of the quarks (or gluons) in a large-momentum hadron. We show how to expose this scale dependence through resumming logarithms of the type $\ln^n p_z/μ$ in the matching coefficient, where $μ$ is a fixed renormalization scale. The result enhances the accuracy of the expansion at moderate $p_z>1$ GeV, and at the same time, clearly shows that the partons cannot be approximated from quarks with $p_z\sim Λ_{\rm QCD}$ which are not predominantly collinear with the parent hadron momentum, consistent with power counting of the large-momentum effective theory. The same physics mechanism constrains the coordinate space expansion at large distances $z$, the conjugate of $p_z$, as illustrated in the example of fitting the moments of the PDFs.
