# Publications

## Publication Information

 Title Complementarity of experimental and lattice QCD data on pion parton distributions Authors Patrick Barry,Colin Egerer,Joseph Karpie,Wolodymyr Melnitchouk,Christopher Monahan,Kostas Orginos,Jianwei Qiu,David Richards,Nobuo Sato Gonzalez,Raza Sufian,S. Zafeiropoulos JLAB number JLAB-THY-22-3592 LANL number arXiv:2204.00543 Other number DOE/OR/23177-5463 Document Type(s) (Journal Article) Associated with EIC: No Supported by Jefferson Lab LDRD Funding: No Funding Source: Nuclear Physics (NP) Journal Compiled for Physical Review D Refereed Publication Abstract: We extract pion parton distribution functions (PDFs) in a Monte Carlo global QCD analysis of experimental data together with reduced Ioffe time pseudo-distributions and matrix elements of current-current correlators generated from lattice QCD. By including both experimental and lattice QCD data, our analysis rigorously quantifies both the uncertainties of the pion PDFs and systematic effects intrinsic to the lattice QCD observables. The reduced Ioffe time pseudo-distributions significantly decrease the uncertainties on the PDFs, while the current-current correlators are limited by the systematic effects associated with the lattice. Consistent with recent phenomenological determinations, the behavior of the valence quark distribution of the pion at large momentum fraction is found to be $\sim (1-x)^{ \beta_{\rm eff}}$ with $\beta_{\rm eff} \approx 1.0-1.2$. Experiment Numbers: other Group: THEORY CENTER Document: pdf DOI: Accepted Manuscript: Supporting Documents: Supporting Datasets: