Determining the nonperturbative Collins-Soper kernel from lattice QCD

Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong

doi:10.1103/PhysRevD.99.034505

Title: Determining the nonperturbative Collins-Soper kernel from lattice QCD

Journal Article · Tue Feb 19 00:00:00 EST 2019 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.99.034505· OSTI ID:1495070

Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong

At small transverse momentum q_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_T ~ Λ_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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0011090

OSTI ID:: 1495070

Alternate ID(s):: OSTI ID: 1611572; OSTI ID: 1635395

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 99 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 66 works

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