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Title: Parton distribution functions from reduced Ioffe-time distributions

Abstract

We show that the correct way to extract parton distribution functions from the reduced Ioffe-time distribution, a ratio of the Ioffe-time distribution for a moving hadron and a hadron at rest, is through a factorization formula. This factorization exists because, at small distances, forming the ratio does not change the infrared behavior of the numerator, which is factorizable. Consequently, we illustrate the effect of such a factorization by applying it to results in the literature.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1433563
Alternate Identifier(s):
OSTI ID: 1501841
Grant/Contract Number:  
FG02-00ER41132
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 7; 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

Citation Formats

Zhang, Jian-Hui, Chen, Jiunn-Wei, and Monahan, Christopher. Parton distribution functions from reduced Ioffe-time distributions. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.074508.
Zhang, Jian-Hui, Chen, Jiunn-Wei, & Monahan, Christopher. Parton distribution functions from reduced Ioffe-time distributions. United States. doi:10.1103/PhysRevD.97.074508.
Zhang, Jian-Hui, Chen, Jiunn-Wei, and Monahan, Christopher. Wed . "Parton distribution functions from reduced Ioffe-time distributions". United States. doi:10.1103/PhysRevD.97.074508.
@article{osti_1433563,
title = {Parton distribution functions from reduced Ioffe-time distributions},
author = {Zhang, Jian-Hui and Chen, Jiunn-Wei and Monahan, Christopher},
abstractNote = {We show that the correct way to extract parton distribution functions from the reduced Ioffe-time distribution, a ratio of the Ioffe-time distribution for a moving hadron and a hadron at rest, is through a factorization formula. This factorization exists because, at small distances, forming the ratio does not change the infrared behavior of the numerator, which is factorizable. Consequently, we illustrate the effect of such a factorization by applying it to results in the literature.},
doi = {10.1103/PhysRevD.97.074508},
journal = {Physical Review D},
number = 7,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.074508

Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1. : Valence distribution uv(x) − dv(x) extracted from the data in Ref. [56]. The solid blue curve is the CJ15 global fit [66], and the dashed green curve is the result of Ref. [56] by a fitting to the RITD M($ν$, $z$2, $μ$), where the authors ignored themore » factorization converting M($ν$, $z$2, $μ$) to M($ν$, 0, $μ$). The dashed red curve is the result obtained using the factorization formula, Eq. (10). The data points we use are extracted from the figures of Ref. [56].« less

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.