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arXiv 2008.10573hep-lathep-exhep-phhep-th
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格点量子色动力学中质子的非极化和螺旋度广义部分子分布

Unpolarized and helicity generalized parton distributions of the proton within lattice QCD

Constantia Alexandrou, Krzysztof Cichy, Martha Constantinou, Kyriakos Hadjiyiannakou, Karl Jansen, Aurora Scapellato, Fernanda Steffens

备注：
Main document: 5 pages, Supplementary document (Appendix): 10 pages. Version accepted for publication in Physical Review Letters
发表信息：
Phys. Rev. Lett. 125, 262001 (2020)
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摘要：

首次计算了格点量子色动力学中质子广义部分子分布与$x$的关系.结果得到的isovector非极化和螺旋GPD。我们计算适当的矩阵元素的快速移动的质子耦合到非本地运营商包含威尔逊线。我们目前的结果质子动量$0.83,\,1.25,\,1.67$ GeV，和动量转移平方$0.69,\,1.38$ GeV $^2$。这些组合包括零偏度和非零偏度的情况。计算使用一个系综的两个简并质量光，一个奇怪的和一个魅力夸克的最大扭曲质量费米子与三叶草条款。在大动量有效理论的框架内，使用单圈微扰理论，晶格结果与光锥GPD相匹配。最终的GPD在$\overline{\rm MS}$计划中给出，规模为2 GeV。

英文摘要：

We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix elements of fast-moving protons coupled to non-local operators containing a Wilson line. We present results for proton momenta $0.83,\,1.25,\,1.67$ GeV, and momentum transfer squared $0.69,\,1.38$ GeV$^2$. These combinations include cases with zero and nonzero skewness. The calculation is performed using one ensemble of two degenerate mass light, a strange and a charm quark of maximally twisted mass fermions with a clover term. The lattice results are matched to the light-cone GPDs using one-loop perturbation theory within the framework of large momentum effective theory. The final GPDs are given in the $\overline{\rm MS}$ scheme at a scale of 2 GeV.

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