[Submitted on 18 Oct 2019] (cross-list from hep-ph)
Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
Markus A. Ebert🇺🇸 · Iain W. Stewart🇺🇸 · Yong Zhao🇺🇸
The Collins-Soper kernel, which governs the energy evolution of transverse-momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment. Earlier we proposed a method to calculate this kernel from ratios of the so-called quasi-TMDPDFs determined with lattice QCD, which are defined as hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here we provide the one-loop renormalization of these operators in a regularization-independent momentum subtraction (RI/MOM) scheme, as well as the conversion factor from the RI/MOM-renormalized quasi-TMDPDF to the scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.
- Comments:
- 27 pages + appendices, 5 figures; v2: journal version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 1910.08569 [pdf]