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Title: Complete matching for quasidistribution functions in large momentum effective theory

Abstract

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi parton distribution functions in the presence of mixing, and give the corresponding hard matching kernel both for the unpolarized and for the polarized quark and gluon quasi-PDFs at $$\mathcal O(\alpha_s)$$. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing, and therefore can be used to extract flavor-singlet quark PDFs as well as the gluon PDFs from lattice simulations.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3];  [4]
  1. Shanghai Jiao Tong Univ., Shanghai (China)
  2. Univ. Regensburg, Regensburg (Germany); Beijing Normal Univ., Beijing (China)
  3. Shanghai Jiao Tong Univ., Shanghai (China); Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Nanjing Normal Univ., Jiangsu (China)
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:
1571532
Alternate Identifier(s):
OSTI ID: 1572075
Report Number(s):
JLAB-THY-19-2907; DOE/OR/23177-4661; arXiv:1904.00978
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
11575110; 11735010; 11705092; 11911530088; 15DZ2272100; BK20171471; AC05-06OR23177; FG02-97ER41028
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; 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

Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, and Zhu, Ruilin. Complete matching for quasidistribution functions in large momentum effective theory. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.074509.
Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, & Zhu, Ruilin. Complete matching for quasidistribution functions in large momentum effective theory. United States. doi:10.1103/PhysRevD.100.074509.
Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, and Zhu, Ruilin. Wed . "Complete matching for quasidistribution functions in large momentum effective theory". United States. doi:10.1103/PhysRevD.100.074509.
@article{osti_1571532,
title = {Complete matching for quasidistribution functions in large momentum effective theory},
author = {Wang, Wei and Zhang, Jian-Hui and Zhao, Shuai and Zhu, Ruilin},
abstractNote = {We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi parton distribution functions in the presence of mixing, and give the corresponding hard matching kernel both for the unpolarized and for the polarized quark and gluon quasi-PDFs at $\mathcal O(\alpha_s)$. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing, and therefore can be used to extract flavor-singlet quark PDFs as well as the gluon PDFs from lattice simulations.},
doi = {10.1103/PhysRevD.100.074509},
journal = {Physical Review D},
number = 7,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.074509

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