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:
- 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},
journal = {Nuclear Physics. B},
number = C,
volume = 915,
place = {Netherlands},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}
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https://doi.org/10.1016/j.nuclphysb.2016.12.004
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Works referenced in this record:
Parton distributions with LHC data
journal, February 2013
- Ball, Richard D.; Bertone, Valerio; Carrazza, Stefano
- Nuclear Physics B, Vol. 867, Issue 2
Exclusive processes in position space and the pion distribution amplitude
journal, May 2008
- Braun, V. M.; Müller, D.
- The European Physical Journal C, Vol. 55, Issue 3
Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011
- Musch, B. U.; Hägler, Ph.; Negele, J. W.
- Physical Review D, Vol. 83, Issue 9
Parton distribution functions and benchmark cross sections at next-to-next-to-leading order
journal, September 2012
- Alekhin, S.; Blümlein, J.; Moch, S.
- Physical Review D, Vol. 86, Issue 5
One-loop matching for transversity generalized parton distribution
journal, September 2015
- Xiong, Xiaonu; Zhang, Jian-Hui
- Physical Review D, Vol. 92, Issue 5
Parton Physics on a Euclidean Lattice
journal, June 2013
- Ji, Xiangdong
- Physical Review Letters, Vol. 110, Issue 26
Physics of the Gluon-Helicity Contribution to Proton Spin
journal, September 2013
- Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong
- Physical Review Letters, Vol. 111, Issue 11
Renormalizability of phase factors in non-abelian gauge theory
journal, July 1980
- Dotsenko, V. S.; Vergeles, S. N.
- Nuclear Physics B, Vol. 169, Issue 5-6
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
- Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong
- Nuclear Physics B, Vol. 911
Restoration of rotational symmetry in the continuum limit of lattice field theories
journal, September 2012
- Davoudi, Zohreh; Savage, Martin J.
- Physical Review D, Vol. 86, Issue 5
On the renormalization and short-distance properties of hadronic operators in QCD
journal, July 1981
- Craigie, N. S.; Dorn, H.
- Nuclear Physics B, Vol. 185, Issue 1
Parton physics from large-momentum effective field theory
journal, May 2014
- Ji, XiangDong
- Science China Physics, Mechanics & Astronomy, Vol. 57, Issue 7
Parton distributions for the LHC
journal, July 2009
- Martin, A. D.; Stirling, W. J.; Thorne, R. S.
- The European Physical Journal C, Vol. 63, Issue 2
Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994
- Liu, Keh-Fei; Dong, Shao-Jing
- Physical Review Letters, Vol. 72, Issue 12