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Title: Multiplicative Renormalizability of Operators defining Quasiparton Distributions

Abstract

Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of the quasiquark operators of Ishikawa to quasigluon operators, and demonstrated that quasigluon operators could be multiplicatively renormalized to all orders in perturbation theory, without mixing with other operators. Here, we find that using a gauge-invariant UV regulator is essential for achieving this proof. With the multiplicative renormalizability of both quasiquark and quasigluon operators, and QCD collinear factorization of hadronic matrix elements of there operators into PDFs, extracting PDFs from lattice QCD calculated hadronic matrix elements of quasiparton operators could have a solid theoretical foundation.

Authors:
 [1];  [2]; ORCiD logo [3]
  1. Peking Univ., Beijing (China)
  2. Peking Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
  3. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1494860
Alternate Identifier(s):
OSTI ID: 1494924
Report Number(s):
JLAB-THY-18-2798; DOE/OR/23177-4520; arXiv:1809.01836
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
AC05-06OR23177
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Li, Zheng -Yang, Ma, Yan -Qing, and Qiu, Jian -Wei. Multiplicative Renormalizability of Operators defining Quasiparton Distributions. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.062002.
Li, Zheng -Yang, Ma, Yan -Qing, & Qiu, Jian -Wei. Multiplicative Renormalizability of Operators defining Quasiparton Distributions. United States. doi:10.1103/PhysRevLett.122.062002.
Li, Zheng -Yang, Ma, Yan -Qing, and Qiu, Jian -Wei. Fri . "Multiplicative Renormalizability of Operators defining Quasiparton Distributions". United States. doi:10.1103/PhysRevLett.122.062002.
@article{osti_1494860,
title = {Multiplicative Renormalizability of Operators defining Quasiparton Distributions},
author = {Li, Zheng -Yang and Ma, Yan -Qing and Qiu, Jian -Wei},
abstractNote = {Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of the quasiquark operators of Ishikawa to quasigluon operators, and demonstrated that quasigluon operators could be multiplicatively renormalized to all orders in perturbation theory, without mixing with other operators. Here, we find that using a gauge-invariant UV regulator is essential for achieving this proof. With the multiplicative renormalizability of both quasiquark and quasigluon operators, and QCD collinear factorization of hadronic matrix elements of there operators into PDFs, extracting PDFs from lattice QCD calculated hadronic matrix elements of quasiparton operators could have a solid theoretical foundation.},
doi = {10.1103/PhysRevLett.122.062002},
journal = {Physical Review Letters},
number = 6,
volume = 122,
place = {United States},
year = {2019},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.122.062002

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