Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit
Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit
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DOI：
10.1103/physrevd.102.094513
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发表时间：
2020-07
期刊：
影响因子：
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通讯作者：
Xiang Gao;Luchang Jin;C. Kallidonis;Nikhil Karthik;S. Mukherjee;P. Petreczky;Charles Shugert;S. Syritsyn;Yong Zhao
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文献类型：
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作者：
Xiang Gao;Luchang Jin;C. Kallidonis;Nikhil Karthik;S. Mukherjee;P. Petreczky;Charles Shugert;S. Syritsyn;Yong Zhao
我们提出了质量为 $300$ MeV 的 pion 的价子分布函数 (PDF) 的高统计晶格 QCD 测定，使用两个非常精细的晶格间距 $a=0.06$ fm 和 $0.04$ fm。我们重建依赖于 $x$ 的 PDF，并使用 1 环扰动 LaMET 框架推断 PDF 的前几个偶矩。我们的分析使用 RI-MOM 和基于比率的方案来重新规范化π介子的等时双局域夸克双线性矩阵元素，其动量提升至 2.4$ GeV 动量。我们使用各种与模型无关和模型相关的分析来推断价 PDF 的大 $x$ 行为。我们还提出了有关增强π介子矩阵元素中的晶格间距和更高扭曲校正的技术研究。
We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of pion, with a mass of $300$ MeV, using two very fine lattice spacings of $a=0.06$ fm and $0.04$ fm. We reconstruct the $x$-dependent PDF, as well as infer the first few even moments of the PDF using the 1-loop perturbative LaMET framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to $2.4$ GeV momenta. We use various model-independent and model-dependent analyses to infer the large-$x$ behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.