Pion valence structure from Ioffe-time parton pseudodistribution functions

Joó, Bálint; Karpie, Joseph; Orginos, Kostas; Radyushkin, Anatoly V.; Richards, David G.; Sufian, Raza Sabbir; Zafeiropoulos, Savvas

doi:10.1103/PhysRevD.100.114512

Title: Pion valence structure from Ioffe-time parton pseudodistribution functions

Journal Article · 18 December 2019 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.100.114512 · OSTI ID:1579785

Joó, Bálint ^[1];

^[2];

^[3];

^[4];

^[1];

^[1]; Zafeiropoulos, Savvas ^[5]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
College of William and Mary, Williamsburg, VA (United States); Columbia Univ., New York, NY (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
Heidelberg Univ. (Germany). Inst. for Theoretical Physics; Aix-Marseille Univ., Marseille (France); Univ. de Toulon, Marseille (France)

We present a calculation of the pion valence quark distribution extracted using the formalism of reduced Ioffe-time pseudodistributions or more commonly known as pseudo-PDFs. Our calculation is carried out on two different 2 $$+$$ 1 flavor QCD ensembles using the isotropic-clover fermion action, with lattice dimensions 24³ $$×$$ 64 and 32³ $$×$$ 96 at the lattice spacing of $$a$$=0.127 fm, and with the quark mass equivalent to a pion mass of $$m_π≃$$415 MeV. We incorporate several combinations of smeared-point and smeared-smeared pion source-sink interpolation fields in obtaining the lattice QCD matrix elements using the summation method. After one-loop perturbative matching and combining the pseudodistributions from these two ensembles, we extract the pion valence quark distribution using a phenomenological functional form motivated by the global fits of parton distribution functions. We also calculate the lowest four moments of the pion quark distribution through the “operator product expansion without operator product expansion.” We present a qualitative comparison between our lattice QCD extraction of the pion valence quark distribution with that obtained from global fits and previous lattice QCD calculations.

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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); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)

Contributing Organization:: TMD Collaboration; USQCD Collaboration; Southeastern Universities Research Association (SURA)

Grant/Contract Number:: AC05-06OR23177; AC02-05CH11231; AC05-00OR22725; FG02-04ER41302; FG02-97ER41028; ACI-1548562; PHY-1626177; ST/P000681/1

OSTI ID:: 1579785

Alternate ID(s):: OSTI ID: 1581133

Report Number(s):: JLAB-THY-19-3038; DOE/OR/23177-4784; PRVDAQ; TRN: US2102098

Journal Information:: Physical Review D, Vol. 100, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 86 works

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References (131)

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Symmetry, symmetry breaking, and pion parton distributions Ding, Minghui; Raya, Khepani; Binosi, Daniele arXiv https://doi.org/10.48550/arxiv.1905.05208	text	January 2019

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