In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the quasi-PDF operator at lattice spacing $a=0.03$ fm ∼ 0.12 fm with clover and overlap valence quarks on staggered and domain-wall sea, we design a strategy to disentangle the divergent renormalization factors from finite physics matrix elements, which can be matched to a continuum scheme at short distance such as dimensional regularization and minimal subtraction. Our results indicate that the renormalization factors are universal in the hadron state matrix elements. Moreover, the physical matrix elements appear independent of the valence fermion formulations. These conclusions remain valid even with HYP smearing which reduces the statistical errors albeit reducing control of the renormalization procedure. Moreover, we find a large non-perturbative effect in the popular RI/MOM and ratio renormalization scheme, suggesting favor of the hybrid renormalization procedure proposed recently.

在应用大动量有效理论时，由于威尔逊线的自能线性发散，晶格正则化中欧几里得相关器的重整化是一个挑战。基于格间距的准PDF算子的格QCD矩阵元素$\mathrm{一种}=0.03$ fm ∼ 0.12 在交错和畴壁海上具有三叶草和重叠价夸克的 fm 中，我们设计了一种策略来从有限物理矩阵元素中解开发散重整化因子，该策略可以匹配到短距离的连续体方案，例如维数正则化和最小减法。我们的结果表明重整化因子在强子态矩阵元素中是通用的。此外，物理矩阵元素似乎与价费米子公式无关。即使使用 HYP 涂抹，这些结论仍然有效，尽管减少了对重整化过程的控制，但减少了统计误差。此外，我们在流行的 RI/MOM 和比率重整化方案中发现了大的非扰动效应，表明最近提出的混合重整化程序受到青睐。