Renormalization and matching for the Collins-Soper kernel from lattice QCD
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13130_2020_Article_12632.pdf
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Author(s)
Ebert, Markus A
Stewart, Iain W
Zhao, Yong
Date Issued
March 17, 2020
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2020 Mar 17;2020(3):99
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP03(2020)099
