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Light-Cone Parton Distribution Functions from Lattice QCD.

Constantia Alexandrou1,2, Krzysztof Cichy3, Martha Constantinou4

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus.

Physical Review Letters
|September 29, 2018
PubMed
Summary

We calculated nucleon parton distribution functions (PDFs) using lattice quantum chromodynamics (QCD). Our results match experimental data, validating this ab initio approach for future studies.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Particle Physics

Background:

  • Parton distribution functions (PDFs) describe nucleon structure.
  • Lattice QCD provides a nonperturbative framework for these calculations.
  • Previous methods faced limitations in accuracy and scope.

Purpose of the Study:

  • To extract nucleon PDFs from lattice QCD with physical quark masses.
  • To validate a novel computational approach against experimental data.
  • To establish a framework for ab initio PDF calculations.

Main Methods:

  • Utilized lattice QCD with physical light quark masses.
  • Employed momentum smearing and nonperturbative renormalization.
  • Applied target mass corrections and modified matching techniques.

Main Results:

  • Extracted unpolarized and helicity PDFs at 2 GeV.
  • Reproduced key features of experimentally determined PDFs.
  • Demonstrated overlap with experimental data across a range of Bjorken-x values.

Conclusions:

  • This study presents the first direct nonperturbative evaluation of nucleon PDFs from lattice QCD.
  • The developed framework enables ab initio computation of PDFs.
  • It opens avenues for studying other hadronic quantities involving nonlocal operators.