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arXiv 2001.04960hep-lathep-exhep-phnucl-exnucl-th
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从格点量子色动力学的流-流关联研究π介子价夸克分布

Pion valence quark distribution from current-current correlation in lattice QCD

Raza Sabbir Sufian, Colin Egerer, Joseph Karpie, Robert G. Edwards, Bálint Joó, Yan-Qing Ma, Kostas Orginos, Jian-Wei Qiu, David G. Richards

备注：
Published version, Physical Review D
发表信息：
Phys. Rev. D 102, 054508 (2020)
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摘要：

利用格点量子色动力学（LQCD）共线因式分解分析了单矢量和单轴矢量流类空关联的矩阵元，并采用一个新的短程匹配系数，从LQCD中提取了π价夸克分布$q^π_{\rm v}(x)$。我们推导出的Ioffe时间分布的两个电流的相关性的物理极限，通过调查有限的晶格间距，体积，夸克质量，和更高的扭曲的依赖性，同时适合的矩阵元素计算的四个规范合奏。我们发现我们提取的$q^π_{\rm v}(x)$和整个$x$范围内的实验数据之间的显着的一致性。此外，我们证明了与位置空间中计算的LQCD矩阵到动量空间中的$q_{\rm v}^π(x)$相关的单圈匹配系数具有良好的Ioffe时间控制行为。这证明了LQCD计算的电流-电流关联是利用QCD因子分解提取部分子结构的良好观测量，这补充了从实验数据中提取部分子结构的全球努力。

英文摘要：

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.

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