A complete non-perturbative renormalization prescription for quasi-PDFs
A complete non-perturbative renormalization prescription for quasi-PDFs
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DOI：
10.1016/j.nuclphysb.2017.08.012
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发表时间：
2017-10-01
影响因子：
2.8
通讯作者：
Steffens, Fernanda
中科院分区：
文献类型：
--
作者：
Alexandrou, Constantia;Cichy, Krzysztof;Steffens, Fernanda
在这项工作中，我们首次提出了非微扰重整化的非极化，螺旋性和横切性的准PDF，在一个RI‘方案。所提出的方案同时解决了重整化的所有方面：对数发散、有限重整化以及具有威尔逊线的费米子算符的矩阵元素中存在的线性发散。此外，对于非极化准PDF的情况，我们描述了如何消除与twist-3标量算符的不想要的混合，我们利用单圈转换因子的微扰理论在2GeV的尺度上将重整化函数带到(MS)。我们还解释了如何通过消除晶格伪影来改进对重整化函数的估计。后者可以在单圈微扰理论中计算，并且可以在晶格空间的所有阶数下计算。我们将重整化方法应用于具有N-f=2+1+1动力学夸克的扭曲质量费米子系综，以及大约375 MeV的介子质量。(C)2017年作者。爱思唯尔出版公司(Elsevier B.V.)
In this work we present, for the first time, the non-perturbative renormalization for the unpolarized, helicity and transversity quasi-PDFs, in an RI' scheme. The proposed prescription addresses simultaneously all aspects of renormalization: logarithmic divergences, finite renormalization as well as the linear divergence which is present in the matrix elements of fermion operators with Wilson lines. Furthermore, for the case of the unpolarized quasi-PDF, we describe how to eliminate the unwanted mixing with the twist-3 scalar operator.We utilize perturbation theory for the one-loop conversion factor that brings the renormalization functions to the (MS) over bar -scheme at a scale of 2 GeV. We also explain how to improve the estimates on the renormalization functions by eliminating lattice artifacts. The latter can be computed in one-loop perturbation theory and to all orders in the lattice spacing.We apply the methodology for the renormalization to an ensemble of twisted mass fermions with N-f = 2+1+1 dynamical quarks, and a pion mass of around 375 MeV. (C) 2017 The Authors. Published by Elsevier B.V.