English

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

High Energy Physics - Lattice 2020-11-11 v2 High Energy Physics - Phenomenology

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=0.098a=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.

Keywords

Cite

@article{arxiv.2005.14572,
  title  = {Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory},
  author = {Qi-An Zhang and Jun Hua and Yikai Huo and Xiangdong Ji and Yizhuang Liu and Yu-Sheng Liu and Maximilian Schlemmer and Andreas Schäfer and Peng Sun and Wei Wang and Yi-Bo Yang},
  journal= {arXiv preprint arXiv:2005.14572},
  year   = {2020}
}

Comments

6 +4 pages, 5 + 7 figures; v2: 7 + 6 pages, 5 + 9 figures, accepted for publication by Physical Review Letters