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A hybrid renormalization scheme for quasi light-front correlations in large-momentum effective theory
Nuclear Physics B ( IF 2.8 ) Pub Date : 2021-01-15 , DOI: 10.1016/j.nuclphysb.2021.115311
Xiangdong Ji , Yizhuang Liu , Andreas Schäfer , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-z correlation functions h˜(z,a,Pz) in a hadron of momentum Pz in lattice QCD. Such correlation functions involve both linear and logarithmic divergences in lattice spacing a, and thus need to be properly renormalized. We introduce a hybrid renormalization procedure to match these lattice correlations to those in the continuum MS scheme, without introducing extra non-perturbative effects at large z. We analyze the effect of O(ΛQCD) ambiguity in the Wilson line self-energy subtraction involved in this hybrid scheme. To obtain the momentum-space distributions, we recommend to extrapolate the lattice data to the asymptotic z-region using the generic properties of the coordinate space correlations at moderate and large Pz, respectively.



中文翻译:

大动量有效理论中的准光前相关混合重整化方案

在大动量有效理论(LaMET)中,计算parton物理场是从计算坐标空间z相关函数开始Hž一种Pž 在动力的强子中 Pž在点阵QCD中。这种相关函数在晶格间距a中涉及线性和对数发散,因此需要适当地重新归一化。我们引入了混合重整化过程,以将这些晶格相关性与连续体中的那些相关多发性硬化症方案,而不会在大z处引入额外的非扰动效应。我们分析了ØΛQCD该混合方案中涉及的威尔逊线自能量减法的不确定性。为了获得动量空间分布,我们建议使用中等和较大坐标空间相关性的一般属性将晶格数据外推到渐近z区域Pž, 分别。

更新日期:2021-01-18
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