Renormalization and matching for the Collins-Soper kernel from lattice QCD
Author(s)
Ebert, Markus A; Stewart, Iain W; Zhao, Yong
Download13130_2020_Article_12632.pdf (1.088Mb)
Publisher with Creative Commons License
Publisher with Creative Commons License
Creative Commons Attribution
Terms of use
Metadata
Show full item recordAbstract
Abstract
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 MS¯$$ \overline{\mathrm{MS}} $$ scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.
Date issued
2020-03-17Department
Massachusetts Institute of Technology. Center for Theoretical PhysicsPublisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2020 Mar 17;2020(3):99
Version: Final published version