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arXiv 2403.05282hep-lathep-phhep-th
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来自格点QCD的质子螺旋度GPD

Proton Helicity GPDs from Lattice QCD

Joshua Miller, Shohini Bhattacharya, Krzysztof Cichy, Martha Constantinou, Xiang Gao, Andreas Metz, Swagato Mukherjee, Peter Petreczky, Fernanda Steffens, Yong Zhao

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9 pages, 4 figures, Contribution to The 40th International Symposium on Lattice Field Theory (Lattice 2023)
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AI总结：

本研究采用非对称系的格点QCD方法，在带clover改进的N_f=2+1+1扭质量费米子系综上计算零偏度下的质子螺旋度twist-2 GPD，分析其对四动量转移平方-t的依赖，相比对称Breit系提升了计算效率。

摘要：

首批依赖x的GPD的格点QCD计算是在（对称）Breit系中开展的，该系中动量转移在初态和末态强子之间均分。但通过采用非对称系，我们能够以计算高效的设置获得多个动量转移下的质子GPD。在这些会议论文中，我们聚焦于零偏度下的螺旋度twist-2 GPD，它可用于获取$\widetilde{H}$ GPD。我们将介绍非对称系的实现、其与Breit系的比较，以及GPD对四动量转移平方$-t$的依赖关系。该计算在带有clover改进的$N_f=2+1+1$扭质量费米子系综上开展，该系综的π介子质量约为260 MeV。

英文摘要：

First lattice QCD calculations of $x$-dependent GPD have been performed in the (symmetric) Breit frame, where the momentum transfer is evenly divided between the initial and final hadron states. However, employing the asymmetric frame, we are able to obtain proton GPDs for multiple momentum transfers in a computationally efficient setup. In these proceedings, we focus on the helicity twist-2 GPD at zero skewness that gives access to the $\widetilde{H}$ GPD. We will cover the implementation of the asymmetric frame, its comparison to the Breit frame, and the dependence of the GPD on the squared four-momentum transfer, $-t$. The calculation is performed on an $N_f = 2+1+1$ ensemble of twisted mass fermions with a clover improvement. The mass of the pion for this ensemble is roughly 260 MeV.

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