Matching the quasiparton distribution in a momentum subtraction scheme
Name
PhysRevD.97.054512.pdf
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807.3 KB
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Author(s)
Stewart, Iain W
Zhao, Yong
Date Issued
March 2018
Journal
Physical Review D
Publisher
American Physical Society
Citation
Stewart, Iain W. and Yong Zhao. "Matching the quasiparton distribution in a momentum subtraction scheme." Physical Review D 97, 5 (March 2018) : 054512
Version
Final published version
Abstract
The quasiparton distribution is a spatial correlation of quarks or gluons along the z direction in a moving nucleon which enables direct lattice calculations of parton distribution functions. It can be defined with a nonperturbative renormalization in a regularization independent momentum subtraction scheme (RI/MOM), which can then be perturbatively related to the collinear parton distribution in the MS[over ¯] scheme. Here we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the MS[over ¯] PDF, determining the non-singlet quark matching coefficient at next-to-leading order in perturbation theory. We find that the RI/MOM matching coefficient is insensitive to the ultraviolet region of convolution integral, exhibits improved perturbative convergence when converting between the quasi-PDF and PDF, and is consistent with a quasi-PDF that vanishes in the unphysical region as the proton momentum P[superscript z]→∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.97.054512
