赝 GPD 与准 GPD 中的重整化子和幂次修正
Renormalons and power corrections in pseudo- and quasi-GPDs
AI总结：
本文利用微扰高阶行为与小动量贡献的对应关系，研究格点计算所用部分子准 GPD 和赝 GPD 的幂次修正，给出非零 ξ 时对 x 的函数依赖并指出 x=±ξ 的特殊软动量贡献。
摘要：
QCD 中短距离可观测量微扰展开的高阶行为，与相应 Feynman 图中小动量的贡献密切相关，而这种对应关系为研究幂次压低的非微扰修正提供了有用工具。我们使用该技术研究 parton（部分子）准 GPD 和赝 GPD 的幂次修正结构，它们用于广义部分子分布的格点计算。作为主要结果，我们预言了在非零偏斜参数 ξ 下，对准（赝）-GPD 的领头幂次修关于 x 变量的函数依赖。运动学点 x=±ξ 被证明是特殊的。我们发现，在该点对准 GPD 的非微扰修正仅受到硬标度一次幂的压低。这些贡献来自软动量，与 Wilson 线中已知的 UV 重整化子无关。我们还表明，归一化程序可以强烈压低幂次修正。
英文摘要：
High-order behavior of the perturbative expansion for short-distance observables in QCD is intimately related to the contributions of small momenta in the corresponding Feynman diagrams and this correspondence provides one with a useful tool to investigate power-suppressed nonperturbative corrections. We use this technique to study the structure of power corrections to parton quasi- and pseudo-GPDs which are used in lattice calculations of generalized parton distributions. As the main result, we predict the functional dependence of the leading power corrections to quasi(pseudo)-GPDs on $x$ variable for nonzero skewedness parameter $ξ$. The kinematic point $x=\pmξ$ turns out to be special. We find that the nonperturbative corrections to quasi-GPDs at this point are suppressed by the first power of the hard scale only. These contributions come from soft momenta and have nothing to do with the known UV renormalon in the Wilson line. We also show that power corrections can be strongly suppressed by the normalization procedure.
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