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Title: Light-Cone Parton Distribution Functions from Lattice QCD

Abstract

We extract parton distribution functions (PDFs) of the nucleon from lattice QCD using an ensemble of gauge field configurations simulated with light quark masses fixed to their physical values. Theoretical and algorithmic improvements that allow such a calculation include momentum smearing to reach large nucleon boosts with reduced statistical errors, nonperturbative renormalization, target mass corrections, and a novel modified matching of lattice QCD results to connect to what is extracted from experimental measurements. We give results on the unpolarized and helicity PDFs in the modified minimal subtraction scheme at a scale of 2 GeV and reproduce the main features of the experimentally determined quantities, showing an overlap for a range of Bjorken-x values. This first direct nonperturbative evaluation opens a most promising path to compute PDFs in an ab initio way on the lattice and provides a framework for investigating also a wider class of similar quantities, which require the evaluation of hadronic matrix elements of nonlocal operators.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
OSTI Identifier:
1469749
Alternate Identifier(s):
OSTI ID: 1565693
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Jansen, Karl, Scapellato, Aurora, and Steffens, Fernanda. Light-Cone Parton Distribution Functions from Lattice QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.112001.
Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Jansen, Karl, Scapellato, Aurora, & Steffens, Fernanda. Light-Cone Parton Distribution Functions from Lattice QCD. United States. doi:10.1103/PhysRevLett.121.112001.
Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Jansen, Karl, Scapellato, Aurora, and Steffens, Fernanda. Sat . "Light-Cone Parton Distribution Functions from Lattice QCD". United States. doi:10.1103/PhysRevLett.121.112001.
@article{osti_1469749,
title = {Light-Cone Parton Distribution Functions from Lattice QCD},
author = {Alexandrou, Constantia and Cichy, Krzysztof and Constantinou, Martha and Jansen, Karl and Scapellato, Aurora and Steffens, Fernanda},
abstractNote = {We extract parton distribution functions (PDFs) of the nucleon from lattice QCD using an ensemble of gauge field configurations simulated with light quark masses fixed to their physical values. Theoretical and algorithmic improvements that allow such a calculation include momentum smearing to reach large nucleon boosts with reduced statistical errors, nonperturbative renormalization, target mass corrections, and a novel modified matching of lattice QCD results to connect to what is extracted from experimental measurements. We give results on the unpolarized and helicity PDFs in the modified minimal subtraction scheme at a scale of 2 GeV and reproduce the main features of the experimentally determined quantities, showing an overlap for a range of Bjorken-x values. This first direct nonperturbative evaluation opens a most promising path to compute PDFs in an ab initio way on the lattice and provides a framework for investigating also a wider class of similar quantities, which require the evaluation of hadronic matrix elements of nonlocal operators.},
doi = {10.1103/PhysRevLett.121.112001},
journal = {Physical Review Letters},
number = 11,
volume = 121,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.121.112001

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Cited by: 26 works
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