Isovector parton distribution functions of the proton on a superfine lattice

Z. Fan, Xiang Gao, Rui-Cheng Li, Huey-Wen Lin, Nikhil Karthik, S. Mukherjee, P. Petreczky, S. Syritsyn, Yi-Bo Yang, Rui Zhang
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引用次数: 16

Abstract

We study isovector unpolarized and helicity parton distribution functions (PDF) of proton within the framework of Large Momentum Effective Theory. We use a gauge ensemble, generated by the MILC collaboration, with a superfine lattice spacing of $0.042$ fm and a pion mass of $310$ MeV, enabling us to simultaneously reach sub-fermi spatial separations and larger nucleon momenta. We compare the spatial dependence of quasi-PDF matrix elements in different renormalization schemes with the corresponding results of the global fits, obtained using 1-loop perturbative matching. We present determinations of first four moments of the unpolarized and helicity PDFs of proton from the Ioffe-time dependence of the isovector matrix elements, obtained employing a ratio-based renormalization scheme.
质子在超细晶格上的等矢量部子分布函数
在大动量有效理论的框架下,研究了质子的等矢量非极化和螺旋偏子分布函数。我们使用由MILC合作产生的规范系综,其超细晶格间距为0.042$ fm,介子质量为310$ MeV,使我们能够同时达到亚费米空间分离和更大的核子动量。我们比较了准pdf矩阵元素在不同重整化方案下的空间依赖性与使用1环微扰匹配获得的相应全局拟合结果。我们提出了质子的非极化和螺旋PDFs的前四个矩的确定,从等矢量矩阵元素的约时依赖,采用基于比率的重整方案获得。
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