论文标题
与自旋依赖性准TMD的一环匹配
One-loop Matching for Spin-Dependent Quasi-TMDs
论文作者
论文摘要
横向动量依赖的Parton分布函数（TMDPDFS）提供了Hadron的三维自旋结构的独特探针。我们构建了适合晶格QCD计算的自旋依赖性准TMDPDFS，可用于确定旋转依赖性TMDPDFS。我们按一环订单计算连接旋转依赖性TMDPDF和准TMDPDFS的短距离系数。我们发现螺旋性和横向分布具有与未偏振TMDPDF相同的系数。我们还认为，对于椒盐脆饼，匹配的旋转通用性也将符合$α_s$中的所有订单。因此，使用比以前考虑的更简单的威尔逊线路路径来计算这些分布的比率是纵向动量和横向位置的函数。
Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and that can be used to determine spin-dependent TMDPDFs. We calculate the short-distance coefficients connecting spin-dependent TMDPDFs and quasi-TMDPDFs at one-loop order. We find that the helicity and transversity distributions have the same coefficient as the unpolarized TMDPDF. We also argue that the same is true for pretzelosity and that this spin universality of the matching will hold to all orders in $α_s$. Thus, it is possible to calculate ratios of these distributions as a function of longitudinal momentum and transverse position utilizing simpler Wilson line paths than have previously been considered.
