论文标题
晶格QCD中电流相关性的Pion Valence Quark分布
Pion valence quark distribution from current-current correlation in lattice QCD
论文作者
论文摘要
我们从Lattice QCD（LQCD）中提取Pion Valence Quark分布$ q^π_ {\ rm V}（x）$，计算了一个QCD极性分解的一个矢量和一个轴向矢量电流的空间相关性的矩阵元素，使用新的短路分解，使用新的短放电匹配的系数匹配一个匹配的系数，以实现一个匹配的系数。我们通过研究有限的晶格间距，体积，夸克质量和更高扭转的依赖项，在物理极限中得出了两电流相关性的IOFFE时间分布，该矩阵元素同时在四个仪表集合中计算出的矩阵元素。我们发现我们提取的$ q^π_ {\ rm v}（x）$之间的一致性与从整个$ x $ range中获得的实验数据获得。此外，我们证明，在动量空间中，在位置空间中计算出的LQCD矩阵与$ q _ {\ rm v}^π（x）$相关的单循环匹配系数与Ioffe时间具有良好的控制行为。这证明了LQCD计算出的电流相关性是通过使用QCD分解来提取派对结构的良好可观察物，这与从实验数据中提取派对结构的全球努力相辅相成。
We extract the pion valence quark distribution $q^π_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical limit by investigating the finite lattice spacing, volume, quark mass, and higher-twist dependencies in a simultaneous fit of matrix elements computed on four gauge ensembles. We find remarkable consistency between our extracted $q^π_{\rm v}(x)$ and that obtained from experimental data across the entire $x$-range. Further, we demonstrate that the one-loop matching coefficient relating the LQCD matrix computed in position space to the $q_{\rm v}^π(x)$ in momentum space has well-controlled behavior with Ioffe time. This justifies that LQCD calculated current-current correlations are good observables for extracting partonic structures by using QCD factorization, which complements to the global effort to extract partonic structure from experimental data.
