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Title: Isovector parton distribution functions of the proton on a superfine lattice

Abstract

We study isovector unpolarized and helicity parton distribution functions (PDF) of the proton within the framework of large-momentum effective theory. We use a gauge ensemble, generated by the MILC Collaboration, with a superfine lattice spacing of 0.042 fm and a pion mass of 310 MeV, enabling us to simultaneously reach sub-Fermi spatial separations and larger nucleon momenta. We compare the spatial dependence of quasi-PDF matrix elements in different renormalization schemes with the corresponding results of the global fits, obtained using one-loop perturbative matching. We present determinations of the first four moments of the unpolarized and helicity PDFs of proton from the Ioffe-time dependence of the isovector matrix elements, obtained by employing a ratio-based renormalization scheme.

Authors:
; ORCiD logo; ; ; ; ; ; ; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1671864
Alternate Identifier(s):
OSTI ID: 1693404
Report Number(s):
BNL-220552-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 074504
Grant/Contract Number:  
SC0012704; AC05-00OR2272; PHY-1847893; PHY 1653405; AC05-00OR22725
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Name: Physical Review. D. Journal Volume: 102 Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Fan, Zhouyou, Gao, Xiang, Li, Ruizi, Lin, Huey-Wen, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Syritsyn, Sergey, Yang, Yi-Bo, and Zhang, Rui. Isovector parton distribution functions of the proton on a superfine lattice. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.102.074504.
Fan, Zhouyou, Gao, Xiang, Li, Ruizi, Lin, Huey-Wen, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Syritsyn, Sergey, Yang, Yi-Bo, & Zhang, Rui. Isovector parton distribution functions of the proton on a superfine lattice. United States. https://doi.org/10.1103/PhysRevD.102.074504
Fan, Zhouyou, Gao, Xiang, Li, Ruizi, Lin, Huey-Wen, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Syritsyn, Sergey, Yang, Yi-Bo, and Zhang, Rui. Mon . "Isovector parton distribution functions of the proton on a superfine lattice". United States. https://doi.org/10.1103/PhysRevD.102.074504.
@article{osti_1671864,
title = {Isovector parton distribution functions of the proton on a superfine lattice},
author = {Fan, Zhouyou and Gao, Xiang and Li, Ruizi and Lin, Huey-Wen and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Syritsyn, Sergey and Yang, Yi-Bo and Zhang, Rui},
abstractNote = {We study isovector unpolarized and helicity parton distribution functions (PDF) of the proton within the framework of large-momentum effective theory. We use a gauge ensemble, generated by the MILC Collaboration, with a superfine lattice spacing of 0.042 fm and a pion mass of 310 MeV, enabling us to simultaneously reach sub-Fermi spatial separations and larger nucleon momenta. We compare the spatial dependence of quasi-PDF matrix elements in different renormalization schemes with the corresponding results of the global fits, obtained using one-loop perturbative matching. We present determinations of the first four moments of the unpolarized and helicity PDFs of proton from the Ioffe-time dependence of the isovector matrix elements, obtained by employing a ratio-based renormalization scheme.},
doi = {10.1103/PhysRevD.102.074504},
journal = {Physical Review. D.},
number = 7,
volume = 102,
place = {United States},
year = {Mon Oct 12 00:00:00 EDT 2020},
month = {Mon Oct 12 00:00:00 EDT 2020}
}

Works referenced in this record:

Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012


Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015


Novel quark smearing for hadrons with high momenta in lattice QCD
journal, May 2016


First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis
journal, September 2017


Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018


Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
journal, January 2018


Unraveling high-energy hadron structures with lattice QCD
journal, December 2018


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001


Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator
journal, November 2010


Positivity constraints for anomalous dimensions
journal, October 1973


Complete matching for quasidistribution functions in large momentum effective theory
journal, October 2019


Parton physics from large-momentum effective field theory
journal, May 2014


Perturbative renormalization of quasi-parton distribution functions
journal, September 2017


Erratum: Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [Phys. Rev. D 92 , 114513 (2015)]
journal, February 2016


Parton distribution functions from Ioffe time pseudo-distributions
journal, December 2019

  • Joó, Bálint; Karpie, Joseph; Orginos, Kostas
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)081

Leading and next-to-leading order gluon polarization in the nucleon and longitudinal double spin asymmetries from open charm muoproduction
journal, March 2013


Axial-vector form factors of the nucleon from lattice QCD
journal, December 2017


Parton distributions from high-precision collider data: NNPDF Collaboration
journal, October 2017


Parton Physics on a Euclidean Lattice
journal, June 2013


Extracting parton distribution functions from lattice QCD calculations
journal, October 2018


Renormalizability of quasiparton distribution functions
journal, November 2017


Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007


A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014


A Particle Consistent with the Higgs Boson Observed with the ATLAS Detector at the Large Hadron Collider
journal, December 2012


Light-Cone Parton Distribution Functions from Lattice QCD
journal, September 2018


Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018


Measurement of parity-violating spin asymmetries in W ± production at midrapidity in longitudinally polarized p + p collisions
journal, March 2016


Transversity parton distribution functions from lattice QCD
journal, November 2018

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 98, Issue 9
  • DOI: 10.1103/PhysRevD.98.091503

Pion valence quark distribution from current-current correlation in lattice QCD
journal, September 2020


Measurement of Longitudinal Spin Asymmetries for Weak Boson Production in Polarized Proton-Proton Collisions at RHIC
journal, August 2014


Valence parton distribution function of pion from fine lattice
journal, August 2019


Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015


A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019

  • Cichy, Krzysztof; Constantinou, Martha
  • Advances in High Energy Physics, Vol. 2019
  • DOI: 10.1155/2019/3036904

Evidence for Polarization of Gluons in the Proton
journal, July 2014


Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013


Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015


Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017


First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function
journal, August 2019


Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
journal, February 2020


Inclusive double-helicity asymmetries in neutral-pion and eta-meson production in p + p collisions at s = 200 GeV
journal, July 2014


A New Boson with a Mass of 125 GeV Observed with the CMS Experiment at the Large Hadron Collider
journal, December 2012


Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018


Accessing Gluon Parton Distributions in Large Momentum Effective Theory
journal, April 2019


A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017


Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
journal, June 2019

  • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
  • Physical Review D, Vol. 99, Issue 11
  • DOI: 10.1103/PhysRevD.99.114504

Inclusive cross section and double-helicity asymmetry for π 0 production at midrapidity in p + p collisions at s = 510 GeV
journal, January 2016


Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
journal, August 2017


Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018


Precision Measurement of the Longitudinal Double-Spin Asymmetry for Inclusive Jet Production in Polarized Proton Collisions at s = 200 GeV
journal, August 2015


Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016


Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018


Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016


Pion valence structure from Ioffe-time parton pseudodistribution functions
journal, December 2019


Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP 3 Collaboration)
journal, September 2019


Pion valence quark distribution from matrix element calculated in lattice QCD
journal, April 2019


The Chroma Software System for Lattice QCD
journal, March 2005