Matching the quasiparton distribution in a momentum subtraction scheme

Journal Article · 22 March 2018 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.97.054512 · OSTI ID:1427885

Stewart, Iain W. ^[1]; Zhao, Yong ^[2]

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1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States

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 $$ \overline{M}\ $$S scheme. Furthermore we carry out a direct matching from the RI/MOM scheme for the quasi-PDF to the $$ \overline{M}\ $$S 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^z → ∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation
• Grant/Contract Number: SC0011090; 327942
• OSTI ID: 1427885
• Alternate ID(s): OSTI ID: 1501455
• Journal Information: Physical Review. D., Vol. 97, Issue 5; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English