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Title: Parton distribution functions from Ioffe time pseudo-distributions

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4];  [1];  [5]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Columbia Univ., New York, NY (United States)
  3. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  4. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  5. Heidelberg Univ. (Germany); Aix Marseille Univ. (France); Univ. de Toulon (France); ; Centre National de la Recherche Scientifique (CNRS), Marseille (France). Centre de Physique Théorique (CPT)

In this paper, we present a detailed study of the unpolarized nucleon parton distribution function (PDF) employing the approach of parton pseudo-distribution functions. We perform a systematic analysis using three lattice ensembles at two volumes, with lattice spacings $$a$$ = 0.127 fm and $$a$$ = 0.094 fm, for a pion mass of roughly 400 MeV. With two lattice spacings and two volumes, both continuum limit and infinite volume extrapolation systematic errors of the PDF are considered. In addition to the $$x$$ dependence of the PDF, we compute their first two moments and compare them with the pertinent phenomenological determinations.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC); DFG Collaborative Research Centre; USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS); National Science Foundation (NSF); Commonwealth of Virginia Equipment Trust Fund; US Department of the Navy, Office of Naval Research (ONR)
Grant/Contract Number:
AC05-06OR23177; FG02-04ER41302; ST/P000681/1; FG02-97ER41028; PHY-1626177; AC02-05CH11231; AC05-00OR22725
OSTI ID:
1608406
Report Number(s):
JLAB-THY-19-3024; DOE/OR/23177-4843; arXiv:1908.09771; TRN: US2105059
Journal Information:
Journal of High Energy Physics (Online), Vol. 2019, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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