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Title: Renormalizability of quasiparton distribution functions

Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be evaluated by lattice QCD simulations. However, unlike the parton distribution functions, the quasi-parton distribution functions have perturbative ultraviolet power divergences because they are not defined by twist-2 operators. Here in this article, we identify all sources of ultraviolet divergences for the quasi-parton distribution functions in coordinate-space, and demonstrated that power divergences, as well as all logarithmic divergences can be renormalized multiplicatively to all orders in QCD perturbation theory.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Shanghai Jiao Tong Univ. (China). T. D. Lee Inst.
  2. Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics and Technology; Peking Univ., Beijing (China). Center for High Energy physics; Collaborative Innovation Center of Quantum Matter, Beijing (China)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Report Number(s):
JLAB-THY-17-2517; DOE/OR/-23177-4179; arXiv:1707.03107
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:
SC0012704; AC05-06OR23177; AC52-06NA25396; 16DZ2260200; R2411
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1410289
Alternate Identifier(s):
OSTI ID: 1409708

Ishikawa, Tomomi, Ma, Yan-Qing, Qiu, Jian-Wei, and Yoshida, Shinsuke. Renormalizability of quasiparton distribution functions. United States: N. p., Web. doi:10.1103/PhysRevD.96.094019.
Ishikawa, Tomomi, Ma, Yan-Qing, Qiu, Jian-Wei, & Yoshida, Shinsuke. Renormalizability of quasiparton distribution functions. United States. doi:10.1103/PhysRevD.96.094019.
Ishikawa, Tomomi, Ma, Yan-Qing, Qiu, Jian-Wei, and Yoshida, Shinsuke. 2017. "Renormalizability of quasiparton distribution functions". United States. doi:10.1103/PhysRevD.96.094019. https://www.osti.gov/servlets/purl/1410289.
@article{osti_1410289,
title = {Renormalizability of quasiparton distribution functions},
author = {Ishikawa, Tomomi and Ma, Yan-Qing and Qiu, Jian-Wei and Yoshida, Shinsuke},
abstractNote = {Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be evaluated by lattice QCD simulations. However, unlike the parton distribution functions, the quasi-parton distribution functions have perturbative ultraviolet power divergences because they are not defined by twist-2 operators. Here in this article, we identify all sources of ultraviolet divergences for the quasi-parton distribution functions in coordinate-space, and demonstrated that power divergences, as well as all logarithmic divergences can be renormalized multiplicatively to all orders in QCD perturbation theory.},
doi = {10.1103/PhysRevD.96.094019},
journal = {Physical Review D},
number = 9,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}