We present the first determination of the x-dependent pion gluon distribution from lattice QCD using the pseudo-PDF approach. We use lattice ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration, at two lattice spacings $a\approx 0.12$ and 0.15 fm and three pion masses $M_{\pi }\approx 220$, 310 and 690 MeV. We use clover fermions for the valence action and momentum smearing to achieve pion boost momentum up to 2.29 GeV. We find that the dependence of the pion gluon parton distribution on lattice spacing and pion mass is mild. We compare our results from the lightest pion mass ensemble with the determination by JAM and xFitter global fits.

我们首次使用伪 PDF 方法从晶格 QCD 中确定了x依赖的 pion 胶子分布。我们在两个晶格间距处使用由 MILC 协作生成的具有 2+1+1 种高度改进的交错夸克 (HISQ) 的晶格系综$\mathrm{一种}\approx 0.12$ 和 0.15 fm 和三个 pion 质量 ${米}_{\pi }\approx 220$, 310 和 690 MeV。我们使用三叶草费米子进行价作用和动量涂抹，以实现高达 2.29 GeV 的 pion 增强动量。我们发现 pion 胶子部分分布对晶格间距和 pion 质量的依赖性很小。我们将最轻 pion 质量集合的结果与 JAM 和 xFitter 全局拟合的确定结果进行比较。