论文标题
来自大摩氏有效理论的Gluon横向依赖性分布
Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory
论文作者
论文摘要
我们证明，可以从大摩肌有效理论（lamet）中适当的欧几里得相关性的晶格计算中提取Gluon横向依赖性的Parton分布函数（TMDPDFS）。基于Gluon非极化和螺旋性TMDPDFS的扰动计算，我们提出了一个连接它们及其板条的匹配公式，其中后者在促进晶格计算的方案中被重新归一化，并转换为$ \ overline {\ rmmms} $方案。硬匹配的内核被赋予一环级别。我们还表明，扰动结果与相关相关性中用于捏杆奇异性的处方无关。我们的结果为从晶格模拟中提取Gluon TMDPDF提供了指导，并有可能极大地促进硬匹配的内核的扰动计算。
We demonstrate that gluon transverse-momentum-dependent parton distribution functions (TMDPDFs) can be extracted from lattice calculations of appropriate Euclidean correlations in large-momentum effective theory (LaMET). Based on perturbative calculations of gluon unpolarized and helicity TMDPDFs, we present a matching formula connecting them and their LaMET counterparts, where the latter are renormalized in a scheme facilitating lattice calculations and converted to the $\overline{\rm MS}$ scheme. The hard matching kernel is given up to one-loop level. We also show that the perturbative result is independent of the prescription used for the pinch-pole singularity in the relevant correlations. Our results offer a guidance for the extraction of gluon TMDPDFs from lattice simulations, and have the potential to greatly facilitate perturbative calculations of the hard matching kernel.
