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准部分子分布函数的次下一个领头阶计算

Next-to-Next-to-Leading Order Calculation of Quasiparton Distribution Functions.

作者信息

Chen Long-Bin, Wang Wei, Zhu Ruilin

机构信息

School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, China.

INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.

出版信息

Phys Rev Lett. 2021 Feb 19;126(7):072002. doi: 10.1103/PhysRevLett.126.072002.

Abstract

We present the next-to-next-to-leading order (NNLO) calculation of quark quasiparton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full analytic matching coefficients between the quasidistribution and the light-cone distribution are derived. We demonstrate that the NNLO numerical contributions can improve the behavior of the extracted PDFs sizably. With the unprecedented precision study of nucleon tomography at the planned electron-ion collider, high precision lattice QCD simulations with our NNLO results implemented will enable to test the QCD theory and more precise results on the PDFs of nucleons will be obtained.

摘要

我们给出了大动量有效理论中夸克准部分子分布函数(PDFs)的次下一个领头阶(NNLO)计算。明确建立了该阶次的非平凡因子分解,并推导了准分布与光锥分布之间的完整解析匹配系数。我们证明,NNLO数值贡献可以显著改善提取的PDFs的行为。通过在计划中的电子-离子对撞机上对核子层析成像进行前所未有的高精度研究,结合我们的NNLO结果进行的高精度格点量子色动力学(QCD)模拟将能够检验QCD理论,并获得关于核子PDFs的更精确结果。

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