Determining the nonperturbative Collins-Soper kernel from lattice QCD
Name
PhysRevD.99.034505.pdf
Size
306.66 KB
Format
Adobe PDF
Checksum (MD5)
f568fd67d9858c4691d93be768ebe291
Author(s)
Ebert, Markus
Stewart, Iain W
Zhao, Yong
Date Issued
February 2019
Journal
Physical Review D
Publisher
American Physical Society
Citation
Ebert, Markus A. et al. "Determining the nonperturbative Collins-Soper kernel from lattice QCD." Physical Review D 99, 3 (February 2019): 034505
Version
Final published version
Abstract
At small transverse momentum q[subscript T], transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive deep-inelastic scattering. TMDPDFs naturally depend on the hadron momentum, and the associated evolution is determined by the Collins-Soper equation. For q[subscript T] ∼ Λ[subscript QCD] the corresponding evolution kernel (or anomalous dimension) is nonperturbative and must be determined as an independent ingredient in order to relate TMDPDFs at different scales. We propose a method to extract this kernel using lattice QCD and the large-momentum effective theory, where the physical TMD correlation involving light-like paths is approximated by a quasi-TMDPDF, defined using equal-time correlation functions with a large-momentum hadron state. The kernel is determined from a ratio of quasi-TMDPDFs extracted at different hadron momenta.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevD.99.034505
