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 · 27 November 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) (SC-26)

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

OSTI ID:: 1489800

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

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

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Generalized parton distributions and pseudodistributions Radyushkin, A. V. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.116011	journal	December 2019
⟨ x ⟩ and ⟨ x 2 ⟩ of the pion PDF from lattice QCD with N f = 2 + 1 + 1 dynamical quark flavors Oehm, M.; Alexandrou, C.; Constantinou, M. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/physrevd.99.014508	journal	January 2019
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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
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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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