Pion valence quark distribution from current-current correlation in lattice QCD

Sufian, Raza Sabbir; Egerer, Colin; Karpie, Joseph; Edwards, Robert G.; Joó, Bálint; Ma, Yan-Qing; Orginos, Kostas; Qiu, Jian-Wei; Richards, David G.

doi:10.1103/PhysRevD.102.054508

Title: Pion valence quark distribution from current-current correlation in lattice QCD

Journal Article · Tue Sep 15 00:00:00 EDT 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.102.054508· OSTI ID:1661705

; Egerer, Colin; Karpie, Joseph;

; Joó, Bálint; Ma, Yan-Qing; Orginos, Kostas; Qiu, Jian-Wei; Richards, David G.

We extract the pion valence quark distribution $$q^\pi_{\rm v}(x)$$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical limit by investigating the finite lattice spacing, volume, quark mass, and higher-twist dependencies in a simultaneous fit of matrix elements computed on four gauge ensembles. We find remarkable consistency between our extracted $$q^\pi_{\rm v}(x)$$ and that obtained from experimental data across the entire $$x$$-range. Further, we demonstrate that the one-loop matching coefficient relating the LQCD matrix computed in position space to the $$q_{\rm v}^{\pi}(x)$$ in momentum space has well-controlled behavior with Ioffe time. This justifies that LQCD calculated current-current correlations are good observables for extracting partonic structures by using QCD factorization, which complements to the global effort to extract partonic structure from experimental data.

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

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS)

Grant/Contract Number:: AC05-06OR23177; AC02-05CH11231; AC05-00OR22725; FG02-04ER41302; 11875071; 11975029; ST/P000681/1; PHY-1626177; ACI-1548562

OSTI ID:: 1661705

Alternate ID(s):: OSTI ID: 1666371

Report Number(s):: JLAB-THY-20-3131; DOE/OR/23177-4892; arXiv:2001.04960; PRVDAQ; 054508

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 102 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Pion valence quark distribution from current-current correlation in lattice QCD

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