Collins-Soper kernel for TMD evolution from lattice QCD

© 2020 authors. Published by the American Physical Society. The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum qT∼ΛQCD, this kernel is nonperturbative and can only be determined with...

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Bibliographic Details
Main Authors: Shanahan, Phiala, Wagman, Michael, Zhao, Yong
Format: Article
Language:English
Published: American Physical Society (APS) 2021
Online Access:https://hdl.handle.net/1721.1/135394
Description
Summary:© 2020 authors. Published by the American Physical Society. The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum qT∼ΛQCD, this kernel is nonperturbative and can only be determined with controlled uncertainties through experiment or first-principles calculations. This work presents the first exploratory determination of the Collins-Soper kernel using the lattice formulation of quantum chromodynamics. In a quenched calculation, the Nf=0 kernel is determined at scales in the range 250 MeV<qT<2 GeV, and an analysis of the remaining systematic uncertainties is undertaken.