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Title: Factorization theorem relating Euclidean and light-cone parton distributions

Abstract

In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum effective theory (LaMET) expansion. This relation is given by a factorization formula with a non-trivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasi-parton distribution function in LaMET, and show that the more recently discussed pseudo-parton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one-loop. In conclusion, we also prove that the matching coefficients in the MS¯ scheme depend on the large partonic momentum rather than the nucleon momentum.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1469247
Alternate Identifier(s):
OSTI ID: 1478488
Report Number(s):
BNL-209303-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 056004
Grant/Contract Number:  
FG02-93ER40762; SC0011090; SC0012704; EC0012704
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice; QCD; fermion; decay; nucleon; one-loop; quark; GEV; LaMET; PDF

Citation Formats

Izubuchi, Taku, Ji, Xiangdong, Jin, Luchang, Stewart, Iain W., and Zhao, Yong. Factorization theorem relating Euclidean and light-cone parton distributions. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.056004.
Izubuchi, Taku, Ji, Xiangdong, Jin, Luchang, Stewart, Iain W., & Zhao, Yong. Factorization theorem relating Euclidean and light-cone parton distributions. United States. doi:10.1103/PhysRevD.98.056004.
Izubuchi, Taku, Ji, Xiangdong, Jin, Luchang, Stewart, Iain W., and Zhao, Yong. Mon . "Factorization theorem relating Euclidean and light-cone parton distributions". United States. doi:10.1103/PhysRevD.98.056004.
@article{osti_1469247,
title = {Factorization theorem relating Euclidean and light-cone parton distributions},
author = {Izubuchi, Taku and Ji, Xiangdong and Jin, Luchang and Stewart, Iain W. and Zhao, Yong},
abstractNote = {In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum effective theory (LaMET) expansion. This relation is given by a factorization formula with a non-trivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasi-parton distribution function in LaMET, and show that the more recently discussed pseudo-parton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one-loop. In conclusion, we also prove that the matching coefficients in the MS¯ scheme depend on the large partonic momentum rather than the nucleon momentum.},
doi = {10.1103/PhysRevD.98.056004},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.056004

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Cited by: 19 works
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