Factorization theorem relating Euclidean and light-cone parton distributions
Name
PhysRevD.98.056004.pdf
Size
744.64 KB
Format
Adobe PDF
Checksum (MD5)
5a1186ef33376274cae82991fbf69aff
Author(s)
Izubuchi, Taku
Ji, Xiangdong
Jin, Luchang
Stewart, Iain W.
Zhao, Yong
Date Issued
September 2018
Journal
Physical Review D
Publisher
American Physical Society
Citation
Izubuchi, Taku, et al. “Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions.” Physical Review D, vol. 98, no. 5, Sept. 201. © 2018 American Physical Society
Version
Final published version
Abstract
In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum effective theory (LaMET) expansion. This relation is given by a factorization formula with a nontrivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasiparton distribution function in LMET, and show that the more recently discussed pseudoparton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one loop. We also prove that the matching coefficients in the MS[over ¯] scheme depend on the large partonic momentum rather than the nucleon momentum.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevD.98.056004
