论文标题
准帕顿分布的一环杂种匹配内核
One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
论文作者
论文摘要
大动量有效理论可以通过将其与具有较大动量的HADRON的夸克双线性基质元素相匹配，从而提取晶格QCD中的强子Parton分布功能。我们计算了混合RI/MOM方案中所有HADRON的无极化，螺旋和横向等级分配函数的匹配内核和无链的广义分布。当Wilson线长度少于$ z_s $时，这种翻新方案使用RI/MOM，否则使用质量减法方案。根据设计，将非杂交方案恢复为$ z_s \至\ infty $。在相反的限制中，$ z \至0 $，获得了自我重归其化方案。当参数$ p_z^r = 0 $和$μ^r z_s \ ll 1 $时，hybrid-ri/mom方案与混合比率方案乘以PDF的费用。我们还讨论了与傅立叶变换的通勤性和$ε$扩展相关的微妙之处。
Large momentum effective theory allows extraction of hadron parton distribution functions in lattice QCD by matching them to quark bilinear matrix elements of hadrons with large momenta. We calculate the matching kernels for the unpolarized, helicity, and transversity isovector parton distribution functions and skewless generalized parton distributions of all hadrons in the hybrid-RI/MOM scheme. This renormalization scheme uses RI/MOM when the Wilson line length is less then $z_s$, otherwise a mass subtraction scheme is used. By design, the non-hybrid scheme is recovered as $z_s \to \infty$. In the opposite limit, $z \to 0$, the self renormalization scheme is obtained. When the parameters $p_z^R=0$ and $μ^R z_s \ll 1$, the hybrid-RI/MOM scheme coincides with the hybrid-ratio scheme times the charge of the PDF. We also discuss the subtlety related to the commutativity of Fourier transform and $ε$ expansion in the $\bar{\text{MS}}$ scheme.
