通过大动量有效理论对横动量依赖的软函数进行格点量子色动力学计算。

Lattice QCD Calculations of Transverse-Momentum-Dependent Soft Function through Large-Momentum Effective Theory.

作者信息

Zhang Qi-An, Hua Jun, Huo Yikai, Ji Xiangdong, Liu Yizhuang, Liu Yu-Sheng, Schlemmer Maximilian, Schäfer Andreas, Sun Peng, Wang Wei, Yang Yi-Bo

机构信息

Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Astrophysics and Cosmology, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China.

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

出版信息

Phys Rev Lett. 2020 Nov 6;125(19):192001. doi: 10.1103/PhysRevLett.125.192001.

DOI:10.1103/PhysRevLett.125.192001

PMID:33216591

Abstract

The transverse-momentum-dependent (TMD) soft function is a key ingredient in QCD factorization of Drell-Yan and other processes with relatively small transverse momentum. We present a lattice QCD study of this function at moderately large rapidity on a 2+1 flavor CLS dynamic ensemble with a=0.098 fm. We extract the rapidity-independent (or intrinsic) part of the soft function through a large-momentum-transfer pseudoscalar meson form factor and its quasi-TMD wave function using leading-order factorization in large-momentum effective theory. We also investigate the rapidity-dependent part of the soft function-the Collins-Soper evolution kernel-based on the large-momentum evolution of the quasi-TMD wave function.

摘要

横向动量依赖（TMD）软函数是在Drell-Yan以及其他具有相对较小横向动量的过程的量子色动力学（QCD）因子分解中的关键要素。我们在具有(a = 0.098,\text{fm})的2 + 1味CLS动态系综上，对中等快度下的该函数进行了格点QCD研究。我们通过大动量转移赝标介子形状因子及其在大动量有效理论中的准TMD波函数，利用领先阶因子分解提取软函数的快度无关（或本征）部分。我们还基于准TMD波函数的大动量演化，研究了软函数的快度依赖部分——柯林斯-索珀演化核。