Moments of Ioffe time parton distribution functions from non-local matrix elements

Karpie, Joseph; Orginos, Kostas; Zafeiropoulos, Savvas

doi:10.1007/JHEP11(2018)178

Title: Moments of Ioffe time parton distribution functions from non-local matrix elements

Journal Article · Wed Nov 28 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP11(2018)178· OSTI ID:1489800

Karpie, Joseph ^[1];

^[1]; Zafeiropoulos, Savvas ^[2]

The College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Heidelberg Univ., Heidelberg (Germany)

Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-04ER41302; AC05-0623177; AC02-05CH11231

OSTI ID:: 1489800

Report Number(s):: JLAB-THY-18-2872; DOE/OR/23177-4585; arXiv:1807.10933; PII: 9486

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 65 works

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Cited By (8)

Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02720	text	January 2019
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results Cichy, Krzysztof; Constantinou, Martha Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/3036904	journal	June 2019
Hadrons and nuclei Detmold, William; Edwards, Robert G.; Dudek, Jozef J. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12902-4	journal	November 2019
Lattice QCD and neutrino-nucleus scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12916-x	journal	November 2019
A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results Cichy, Krzysztof; Constantinou, Martha arXiv https://doi.org/10.48550/arxiv.1811.07248	text	January 2018
Unravelling High-Energy Hadron Structures with Lattice QCD Zhao, Yong arXiv https://doi.org/10.48550/arxiv.1812.07192	text	January 2018
Lattice QCD and Neutrino-Nucleus Scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William arXiv https://doi.org/10.48550/arxiv.1904.09931	text	January 2019
Parton Distribution Functions from Ioffe time pseudo-distributions Joó, Bálint; Karpie, Joseph; Orginos, Kostas arXiv https://doi.org/10.48550/arxiv.1908.09771	text	January 2019

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