Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Xiang Gao, Luchang Jin, C. Kallidonis, Nikhil Karthik, S. Mukherjee, P. Petreczky, Charles Shugert, S. Syritsyn, Yong Zhao
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引用次数: 34

Abstract

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.
晶格QCD介子的价部子分布:接近连续体极限
我们提出了一种高统计量的π介子价部分布函数(PDF)的晶格QCD测定方法,其质量为$300$ MeV,使用两个非常细的晶格间距$a=0.06$ fm和$0.04$ fm。我们利用1环微扰LaMET框架重构了依赖于x的微分方程,并推导出微分方程的前几个偶矩。我们的分析使用RI-MOM和基于比率的方案来重新规格化等时双局部夸克-双线性矩阵元素,将介子的动量提高到2.4 GeV。我们使用各种模型无关和模型相关的分析来推断价态PDF的大$x$行为。我们还介绍了在增强介子矩阵元素中存在的晶格间距和高扭转修正的技术研究。
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