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Title: Improved quasi parton distribution through Wilson line renormalization

Abstract

Some recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. Here, we show that to all orders in the coupling expansion, the power divergence can be removed by a “mass” counterterm in the auxiliary z-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we also present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1335179
Alternate Identifier(s):
OSTI ID: 1366493
Grant/Contract Number:  
FG02-93ER-40762; 11DZ2260700; FG02-93ER40762
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 915 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Chen, Jiunn-Wei, Ji, Xiangdong, and Zhang, Jian-Hui. Improved quasi parton distribution through Wilson line renormalization. Netherlands: N. p., 2017. Web. doi:10.1016/j.nuclphysb.2016.12.004.
Chen, Jiunn-Wei, Ji, Xiangdong, & Zhang, Jian-Hui. Improved quasi parton distribution through Wilson line renormalization. Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.12.004
Chen, Jiunn-Wei, Ji, Xiangdong, and Zhang, Jian-Hui. Wed . "Improved quasi parton distribution through Wilson line renormalization". Netherlands. https://doi.org/10.1016/j.nuclphysb.2016.12.004.
@article{osti_1335179,
title = {Improved quasi parton distribution through Wilson line renormalization},
author = {Chen, Jiunn-Wei and Ji, Xiangdong and Zhang, Jian-Hui},
abstractNote = {Some recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton distribution, a quasi parton distribution contains ultraviolet (UV) power divergence associated with the Wilson line self energy. Here, we show that to all orders in the coupling expansion, the power divergence can be removed by a “mass” counterterm in the auxiliary z-field formalism, in the same way as the renormalization of power divergence for an open Wilson line. After adding this counterterm, the quasi quark distribution is improved such that it contains at most logarithmic divergences. Based on a simple version of discretized gauge action, we also present the one-loop matching kernel between the improved non-singlet quasi quark distribution with a lattice regulator and the corresponding quark distribution in dimensional regularization.},
doi = {10.1016/j.nuclphysb.2016.12.004},
url = {https://www.osti.gov/biblio/1335179}, journal = {Nuclear Physics. B},
issn = {0550-3213},
number = C,
volume = 915,
place = {Netherlands},
year = {2017},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1016/j.nuclphysb.2016.12.004

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Cited by: 17 works
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