Improved quasi parton distribution through Wilson line renormalization

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• 作者：Jiunn-Wei Chen^a ; ^b ; Xiangdong Ji^c ; ^d ; Jian-Hui Zhang^e ; ^{jianhui.zhang@physik.uni-regensburg.de}
• 刊名：Nuclear Physics B
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：915
• 期：Complete
• 页码：1-9
• 全文大小：260 K
• 卷排序：915

文摘

Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. We show that to all orders in the coupling expansion, the power divergence can be removed by a “mass” counterterm in the auxiliary z-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization.