Matching the quasiparton distribution in a momentum subtraction scheme
Author(s)
Stewart, Iain W; Zhao, Yong
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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.
Date issued
2018-03Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Laboratory for Nuclear ScienceJournal
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
ISSN
2470-0010
2470-0029