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 nontrivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasiparton distribution function in LMET, and show that the more recently discussed pseudoparton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one loop. 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 Laboratory (BNL), Upton, NY (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1469247
- Alternate Identifier(s):
- OSTI ID: 1478488; OSTI ID: 1635385
- 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. https://doi.org/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. https://doi.org/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 nontrivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasiparton distribution function in LMET, and show that the more recently discussed pseudoparton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one loop. 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 = {Mon Sep 10 00:00:00 EDT 2018},
month = {Mon Sep 10 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevD.98.056004
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