论文标题

质子在超细晶格上的等分离器Parton分布函数

Isovector parton distribution functions of the proton on a superfine lattice

论文作者

Fan, Zhouyou, Gao, Xiang, Li, Ruizi, Lin, Huey-Wen, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Syritsyn, Sergey, Yang, Yi-Bo, Zhang, Rui

论文摘要

我们在大动量有效理论的框架内研究了质子的异载体非极化和螺旋性Parton分布函数(PDF)。我们使用由MILC协作产生的量规合奏,超级晶格间距为$ 0.042 $ fm和$ 310 $ MEV的茶质量,使我们能够同时达到子纤维空间分离和较大的核素矩。我们比较了使用1循环扰动匹配获得的不同重量化方案中准PDF矩阵元素的空间依赖性与全局拟合的相应结果。我们介绍了通过采用基于比率的基于比率的重新规范化方案获得的Isofte-ioffe-time依赖性质子质子的质子pdf和螺旋性PDF的前四个矩。

We study isovector unpolarized and helicity parton distribution functions (PDF) of the 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 the first four moments of the unpolarized and helicity PDFs of proton from the Ioffe-time dependence of the isovector matrix elements, obtained by employing a ratio-based renormalization scheme.

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