Abstract
We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudodistributions. Beyond the reconstruction of the Bjorken-x dependence, we also extract the lowest moments of the distribution function using the small Ioffe time expansion of the Ioffe time pseudodistribution. We compare our findings with the pertinent phenomenological determinations.
| Original language | English |
|---|---|
| Article number | 232003 |
| Journal | Physical Review Letters |
| Volume | 125 |
| Issue number | 23 |
| DOIs | |
| State | Published - Dec 1 2020 |
Funding
J. K. thanks R. Sufian for the helpful comments. This work is supported by Jefferson Science Associates, LLC, under U.S. DOE Contract No. DE-AC05-06OR23177 (The U.S. Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce this manuscript for U.S. Government purposes.). K. O. was supported in part by U.S. DOE Grant No. DE-FG02-04ER41302. A. V. R. was supported in part by U.S. DOE Grant No. DE-FG02-97ER41028. J. K. was supported in part by the U.S. Department of Energy under Contract No. DE-FG02-04ER41302, Department of Energy Office of Science Graduate Student Research fellowships, through the U.S. Department of Energy, Office of Science, Office of Workforce Development for Teachers and Scientists, Office of Science Graduate Student Research (SCGSR) program and is supported by U.S. Department of Energy Grant No. DE-SC0011941. The authors gratefully acknowledge the computing time granted by the John von Neumann Institute for Computing (NIC) and provided on the supercomputer JURECA at Jülich Supercomputing Centre (JSC) . We acknowledge the facilities of the USQCD Collaboration, used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy. This work was performed in part using computing facilities at the College of William & Mary, which were provided by contributions from the National Science Foundation (MRI Grant No. PHY-1626177), and the Commonwealth of Virginia Equipment Trust Fund. The authors acknowledge William & Mary Research Computing for providing computational resources and/or technical support that have contributed to the results reported within this Letter. This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1548562 . In addition, this work used resources at NERSC, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231, as well as resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. The software libraries used on these machines were Chroma , QUDA , QDP-JIT and QPhiX developed with support from the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research and Office of Nuclear Physics, Scientific Discovery through Advanced Computing (SciDAC) program, and of the U.S. Department of Energy Exascale Computing Project.