We perform the first global QCD analysis of pion valence, sea quark, and gluon distributions within a Bayesian Monte Carlo framework with threshold resummation on Drell-Yan cross sections at next-to-leading log accuracy. Exploring various treatments of resummation, we find that the large-$x$ asymptotics of the valence quark distribution $\sim (1-x{)}^{{\beta }_v}$ can differ significantly, with ${\beta }_v$ ranging from $\approx 1$ to $>2.5$ at the input scale. Regardless of the specific implementation, however, the resummation induced redistribution of the momentum between valence quarks and gluons boosts the total momentum carried by gluons to $\approx 40\%$, increasing the gluon contribution to the pion mass to $\approx 40\mathrm{MeV}$.

中文翻译：

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具有阈值恢复的 Pion Parton 分布的全局 QCD 分析

我们对贝叶斯蒙特卡洛框架内的 pion 价、海夸克和胶子分布进行了第一次全局 QCD 分析，并在 Drell-Yan 横截面以接近领先的对数精度进行了阈值求和。探索恢复的各种处理方法，我们发现大$X$ 价夸克分布的渐近性 $～(1-X{)}^{{\beta }_v}$ 可以显着不同，与 ${\beta }_v$ 范围从 $\approx 1$ 到 $>2.5$在输入尺度上。然而，不管具体的实现如何，价夸克和胶子之间动量的重新分配导致胶子携带的总动量增加到$\approx 40\%$, 增加胶子对 pion 质量的贡献 $\approx 40\mathrm{兆电子伏}$.