Extracting parton distribution functions from lattice QCD calculations
Abstract
Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD calculations of good "lattice cross sections", which are basically single-hadron matrix elements that are lattice QCD calculable and perturbative QCD factorizable into the PDFs. To demonstrate the existence of good "lattice cross sections", we take quasi-quark distribution introduced by Ji [1] as a case study to show that it could be factorized into the PDFs to all orders in perturbation theory if it can be multiplicatively renormalized. In conclusion, we calculate the factorized coefficients at the next-to-leading order in $$\alpha_s$$.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1478580
- Alternate Identifier(s):
- OSTI ID: 1478625
- Report Number(s):
- JLAB-THY-18-2858; DOE/OR/23177-4573; arXiv:1404.6860
Journal ID: ISSN 2470-0010; PRVDAQ; 074021
- Grant/Contract Number:
- AC02-98CH10886; AC05-06OR23177; PHY-0969739; PHY-1316617
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Ma, Yan-Qing, and Qiu, Jian-Wei. Extracting parton distribution functions from lattice QCD calculations. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.074021.
Ma, Yan-Qing, & Qiu, Jian-Wei. Extracting parton distribution functions from lattice QCD calculations. United States. https://doi.org/10.1103/PhysRevD.98.074021
Ma, Yan-Qing, and Qiu, Jian-Wei. Mon .
"Extracting parton distribution functions from lattice QCD calculations". United States. https://doi.org/10.1103/PhysRevD.98.074021.
@article{osti_1478580,
title = {Extracting parton distribution functions from lattice QCD calculations},
author = {Ma, Yan-Qing and Qiu, Jian-Wei},
abstractNote = {Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD calculations of good "lattice cross sections", which are basically single-hadron matrix elements that are lattice QCD calculable and perturbative QCD factorizable into the PDFs. To demonstrate the existence of good "lattice cross sections", we take quasi-quark distribution introduced by Ji [1] as a case study to show that it could be factorized into the PDFs to all orders in perturbation theory if it can be multiplicatively renormalized. In conclusion, we calculate the factorized coefficients at the next-to-leading order in $\alpha_s$.},
doi = {10.1103/PhysRevD.98.074021},
journal = {Physical Review D},
number = 7,
volume = 98,
place = {United States},
year = {Mon Oct 22 00:00:00 EDT 2018},
month = {Mon Oct 22 00:00:00 EDT 2018}
}
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https://doi.org/10.1103/PhysRevD.98.074021
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The spin structure of the nucleon
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