Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory

Autor: 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
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. Lett. 125, 192001 (2020)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.125.192001
Popis: 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 pseudo-scalar 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.
Comment: 6 +4 pages, 5 + 7 figures; v2: 7 + 6 pages, 5 + 9 figures, accepted for publication by Physical Review Letters
Databáze: arXiv