论文标题

来自晶格QCD的Pion Valence Quark PDF

Pion valence quark PDF from lattice QCD

论文作者

Shugert, Charles, Gao, Xiang, Izubichi, Taku, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Syritsyn, Sergey, Zhao, Yong

论文摘要

我们在大动量有效理论(lamet)的框架内使用坐标空间法(lamet)的坐标空间方法在乳头的价值结构上介绍了晶格结果。在这种方法中,一种依赖于增强的HADRONON状态中欧几里得相关器的矩阵元素,该euclidean相关器在短距离处具有算子产品的扩展,这使我们能够提取PDF的矩。我们通过形成减少的IOFFE时间分布(RITD)来重新归一致,并通过考虑QCD的演化效应来重建PION PDF的第二和第四矩。

We present lattice results on the valence-quark structure of the pion using a coordinate space method within the framework of Large Momentum Effective Theory (LaMET). In this method one relies on the matrix elements of a Euclidean correlator in boosted hadronic states, which have an operator product expansion at short distance that allows us to extract the moments of PDFs. We renormalize the Euclidean correlator by forming the reduced Ioffe-time distribution (rITD), and reconstruct the second and fourth moments of the pion PDF by taking into account of QCD evolution effects.

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