Extracting parton distribution functions from lattice QCD calculations

Journal Article · Mon Oct 22 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.074021· OSTI ID:1478580

Ma, Yan-Qing; Qiu, Jian-Wei

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 $$\alpha_s$$.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC02-98CH10886; AC05-06OR23177; PHY-0969739; PHY-1316617
• OSTI ID: 1478580
• Alternate ID(s): OSTI ID: 1478625
• Report Number(s): JLAB-THY-18-2858; DOE/OR/23177-4573; arXiv:1404.6860; PRVDAQ; 074021
• Journal Information: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 7; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY