Determining the nonperturbative Collins-Soper kernel from lattice QCD
Author(s)
Ebert, Markus; Stewart, Iain W; Zhao, Yong
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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.
Date issued
2019-02Department
Massachusetts Institute of Technology. Center for Theoretical PhysicsJournal
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
ISSN
2470-0010
2470-0029