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arXiv 2103.09529hep-lathep-phnucl-th
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重夸克算子乘积展开的部分子物理：形式化和Wilson系数

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

William Detmold, Anthony V. Grebe, Issaku Kanamori, C. -J. David Lin, Robert J. Perry, Yong Zhao

备注：
22 pages, 3 figures; Text updated to be consistent with published version
发表信息：
Phys. Rev. D 104, 074511 (2021)
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摘要：

部分子分布函数（PDF）和光锥分布振幅（LCDA）分别是高能非弹性散射和弹性散射的中心非微扰目标。因此，从头测定这些对象是非常可取的。在本文中，我们提出的理论细节的PDF和LCDA的计算使用重夸克算子乘积展开方法。在以前的论文[Phys.Rev.D73，014501（2006）]中提出了这种策略，用于使用格点量子色动力学计算PDF的高阶矩。它的中心特征是引入了一个虚构的价重夸克。在本文中，我们表明，我们研究的强子矩阵元的算子乘积展开（OPE）也可以表示为一个微扰匹配核和相应的光锥分布的卷积，这在原则上可以被反转，以确定部分子动量分数的依赖。关于高阶矩的提取，本文还给出了非极化PDF、螺旋度PDF和赝标介子LCDAs的OPE公式中的单圈Wilson系数。虽然这些威尔逊系数的PDF可以推断出现有的结果在文献中，那些液晶显示器是新的。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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