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Title: Matching the quasiparton distribution in a momentum subtraction scheme

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 $$ \overline{M}\ $$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.

Authors:
;
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1427885
Alternate Identifier(s):
OSTI ID: 1501455
Grant/Contract Number:  
SC0011090
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Stewart, Iain W., and Zhao, Yong. Matching the quasiparton distribution in a momentum subtraction scheme. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.054512.
Stewart, Iain W., & Zhao, Yong. Matching the quasiparton distribution in a momentum subtraction scheme. United States. doi:10.1103/PhysRevD.97.054512.
Stewart, Iain W., and Zhao, Yong. Thu . "Matching the quasiparton distribution in a momentum subtraction scheme". United States. doi:10.1103/PhysRevD.97.054512.
@article{osti_1427885,
title = {Matching the quasiparton distribution in a momentum subtraction scheme},
author = {Stewart, Iain W. and Zhao, Yong},
abstractNote = {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 Pz → ∞, unlike other schemes. This direct approach therefore has the potential to improve the accuracy for converting quasidistribution lattice calculations to collinear distributions.},
doi = {10.1103/PhysRevD.97.054512},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.054512

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Cited by: 18 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Light-Cone Parton Distribution Functions from Lattice QCD
    text, January 2018

    • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-03714