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arXiv 2006.05760hep-ph
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通过同时分析轴向形状因子和广角康普顿散射数据确定广义部分子分布

Determination of generalized parton distributions through a simultaneous analysis of axial form factor and wide-angle Compton scattering data

Hadi Hashamipour, Muhammad Goharipour, Siamak S. Gousheh

备注：
22 pages, 13 figures
发表信息：
Phys. Rev. D 102, 096014 (2020)
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摘要：

在这项工作中，我们提出了一组新的非极化（$ H $）和极化（$\widetilde{H}$）的广义部分子分布（GPD），已确定使用同时$ χ^2 $分析的核子轴向形状因子（AFF）和广角康普顿散射（WACS）的实验数据在次领先阶（NLO）的QCD精度。我们探讨了各种Ansatzes在文献中提出的GPD，其中使用正向部分子分布作为输入，并选择最适合我们的分析。在我们的分析中包括的实验数据涵盖了广泛的平方横向动量，这是$ 0.025 < -t < 6.46 $ GeV $ ^2 $。我们发现，WACS数据影响显着的大$-t$行为的$\widetilde{H}$。同时分析AFF和WACS数据得到的极化GPD与分别分析AFF和WACS得到的极化GPD有很大的不同，并且具有较小的不确定性。我们表明，使用我们的GPD得到的理论预测与分析的AFF和WACS数据的整个范围的$ -t $研究是在良好的协议。最后，我们得到了非极化和横向极化质子中依赖于碰撞参量的部分子分布，并将它们表示为层析图。

英文摘要：

In this work, we present a new set of unpolarized ($ H $) and polarized ($\widetilde{H}$) generalized parton distributions (GPDs) that have been determined using a simultaneous $ χ^2 $ analysis of the nucleon axial form factor (AFF) and wide-angle Compton scattering (WACS) experimental data at the next-to-leading order (NLO) accuracy in QCD. We explore various Ansatzes presented in the literature for GPDs, which use forward parton distributions as input, and choose the ones most suited to our analysis. The experimental data included in our analysis cover a wide range of the squared transverse momentum, which is $ 0.025 < -t < 6.46 $ GeV$ ^2 $. We show that the WACS data affect significantly the large $-t$ behavior of $\widetilde{H}$. The polarized GPDs obtained from the simultaneous analysis of AFF and WACS data differ considerably from the corresponding ones obtained by analyzing AFF and WACS separately, and have less uncertainties. We show that the theoretical predictions obtained using our GPDs are in good agreement with the analyzed AFF and WACS data for the entire range of $ -t $ studied. Finally, we obtain the impact parameter dependent parton distributions, both in an unpolarized and in a transversely polarized proton, and present them as tomography plots.

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