标题： 从重夸克算符乘积展开的Parton物理：形式主义和Wilson系数 显示英文标题

标题： Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients

摘要： 部分子分布函数（PDFs）和光锥分布振幅（LCDAs）分别是高能非弹性散射和弹性散射中重要的非微扰对象。因此，这些对象的从头计算是非常可取的。本文中，我们提出了利用重夸克算符乘积展开方法来计算PDFs和LCDAs的理论细节。该策略在之前的一篇论文[Phys. Rev. D 73, 014501 (2006)]中提出，用于使用格点QCD计算PDFs的更高矩。其核心特征是引入一个虚构的价态重夸克。在本文中，我们展示了我们研究的强子矩阵元的算符乘积展开（OPE）也可以表示为微扰匹配核与相应的光锥分布的卷积，原则上可以通过这种方法反转以确定部分子动量分数依赖性。关于提取更高矩的工作，本研究还提供了未极化PDF、螺旋度PDF以及伪标量介子LCDAs的OPE公式中的一阶威尔逊系数。尽管PDFs的这些威尔逊系数可以从现有文献中的结果推断出，但LCDAs的这些系数是新的。 显示英文摘要

摘要： Parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs) are central non-perturbative objects of interest in high-energy inelastic and elastic scattering, respectively. As a result, an ab-initio determination of these objects is highly desirable. In this paper we present theoretical details for the calculation of the PDFs and LCDAs using a heavy-quark operator product expansion method. This strategy was proposed in a previous paper [Phys. Rev. D 73, 014501 (2006)] for computing higher moments of the PDFs using lattice QCD. Its central feature is the introduction of a fictitious, valence heavy quark. In the current article, we show that the operator product expansion (OPE) of the hadronic matrix element we study can also be expressed as the convolution of a perturbative matching kernel and the corresponding light-cone distribution, which in principle can be inverted to determine the parton momentum fraction dependence. Regarding the extraction of higher moments, this work also provides the one-loop Wilson coefficients in the OPE formulas for the unpolarized PDF, helicity PDF and pseudo-scalar meson LCDAs. Although these Wilson coefficients for the PDFs can be inferred from existing results in the literature, those for the LCDAs are new.