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

Abstract

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 24 ³ $×$ 64 and 32 ³ $×$ 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.

Authors:

Joó, Bálint ^[1]; Karpie, Joseph  ^[2];

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Orginos, Kostas  ^[3];

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Radyushkin, Anatoly V.  ^[4];

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Richards, David G.  ^[1];

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Sufian, Raza Sabbir  ^[1];

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Zafeiropoulos, Savvas ^[5]

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+ Show Author Affiliations

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

Publication Date:

2019-12-18

Research Org.:

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

Sponsoring Org.:

USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)

Contributing Org.:

TMD Collaboration; USQCD Collaboration; Southeastern Universities Research Association (SURA)

OSTI Identifier:

1579785

Alternate Identifier(s):

OSTI ID: 1581133

Report Number(s):

JLAB-THY-19-3038; DOE/OR/23177-4784
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:  

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

Resource Type:

Published Article

Journal Name:

Physical Review D

Additional Journal Information:

Journal Volume: 100; Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS