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Title: Parton distributions and lattice QCD calculations: A community white paper

Journal Article · · Progress in Particle and Nuclear Physics
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8];  [8];  [9];  [10];  [11];  [12];  [13];  [14];  [15];  [16];  [17];  [18];  [19] more »;  [20];  [21];  [22];  [3];  [23];  [24];  [25];  [26];  [27];  [28];  [29];  [30] « less
  1. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Dept. of Computational Mathematics
  2. Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics; Univ. of Edinburgh, Scotland (United Kingdom). Higgs Centre for Theoretical Physics. School of Physics and Astronomy
  3. Southern Methodist Univ., Dallas, TX (United States). Dept. of Physics
  4. College of William and Mary, Williamsburg, VA (United States). Physics Dept.; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  5. Vrije Univ. (VU), Amsterdam (Netherlands). Dept. of Physics and Astronomy; Nikhef, Amsterdam (Netherlands)
  6. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Hampton Univ., Hampton, VA (United States)
  7. Univ. of Cyprus, Nicosia (Cyprus). Dept. of Physics; The Cyprus Inst., Nicosia (Cyprus). Computation-based Science and Technology Research
  8. Univ. of Pavia (Italy). Dept. of Physics; National Inst. of Nuclear Physics (INFN), Pavia (Italy)
  9. National Taiwan Univ., Taipei (Taiwan). Dept. of Physics. Center for Theoretical Sciences. Leung Center for Cosmology and Particle Astrophysics
  10. Univ. of Regensburg (Germany). Inst. for Theoretical Physics
  11. Univ. of Oxford (United Kingdom). Dept. of Physics
  12. Temple Univ., Philadelphia, PA (United States). Dept. of Physics
  13. Univ. of Edinburgh, Scotland (United Kingdom). Higgs Centre for Theoretical Physics. School of Physics and Astronomy
  14. New Mexico State Univ., Las Cruces, NM (United States). Dept. of Physics
  15. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. for Computing (NIC)
  16. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  17. Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics; Univ. College London (United Kingdom). Dept. of Physics and Astronomy
  18. Shanghai Jiao Tong Univ. (China). T. D. Lee Inst.
  19. Polish Academy of Sciences, Krakow (Poland). Inst. of Nuclear Physics
  20. Univ. of Kentucky, Lexington, KY (United States). Dept. of Physics and Astronomy
  21. Univ. of Virginia, Charlottesville, VA (United States). Physics Dept.; National Inst. of Nuclear Physics (INFN), Frascati (Italy). National Lab. of Frascati
  22. Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
  23. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  24. Univ. Grenoble-Alpes, Grenoble (France). Lab. of Subatomic Physics and Cosmology
  25. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  26. Univ. College London (United Kingdom). Dept. of Physics and Astronomy
  27. Tubingen Univ. (Germany). Inst. for Theoretical Physics
  28. Johannes Gutenberg Univ., Mainz (Germany). PRISMA Cluster of Excellence. Inst. for Nuclear Physics
  29. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy
  30. Univ. of Adelaide, SA (Australia). Special Research Centre for the Subatomic Structure of Matter (CSSM). Dept. of Physics

In the framework of quantum chromodynamics (QCD), parton distribution functions (PDFs) quantify how the momentum and spin of a hadron are divided among its quark and gluon constituents. Two main approaches exist to determine PDFs. The first approach, based on QCD factorization theorems, realizes a QCD analysis of a suitable set of hard-scattering measurements, often using a variety of hadronic observables. The second approach, based on first-principle operator definitions of PDFs, uses lattice QCD to compute directly some PDF-related quantities, such as their moments. Motivated by recent progress in both approaches, in this paper we present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments. We provide benchmark numbers to validate present and future lattice-QCD calculations and we illustrate how they could be used to reduce the PDF uncertainties in current unpolarized and polarized global analyses. Finally, this document represents a first step towards establishing a common language between the two communities, to foster dialogue and to further improve our knowledge of PDFs.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Washington, Seattle, WA (United States); College of William and Mary, Williamsburg, VA (United States); Southern Methodist Univ., Dallas, TX (United States); Hampton Univ., Hampton, VA (United States); New Mexico State Univ., Las Cruces, NM (United States); Univ. of Virginia, Charlottesville, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); BNL Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC05-06OR23177; FG02-00ER41132; FG02-04ER41302; SC0010129; SC0008791; FG02-96ER40965; SC0016286; SC008791; KA-1401020
OSTI ID:
1433816
Alternate ID(s):
OSTI ID: 1548771
Report Number(s):
JLAB-THY-17-2604; DOE/OR/23177-4281; arXiv:1711.07916; PII: S0146641018300073; TRN: US1802667
Journal Information:
Progress in Particle and Nuclear Physics, Vol. 100; ISSN 0146-6410
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 169 works
Citation information provided by
Web of Science

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Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass journal May 2020
Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point text January 2019
Role of higher twist effects in diffractive DIS and determination of diffractive parton distribution functions journal September 2019
A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics journal May 2018
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results journal June 2019
Refined analysis on the parton distribution functions of the proton journal November 2019
The spin structure of the nucleon journal June 2019
Nuclear gluons at RHIC in a multiobservable approach journal July 2019
Hadrons and nuclei journal November 2019
FLAG Review 2019 text January 2019
Accessing high-momentum nucleons with dilute stochastic sources journal November 2018
Lattice QCD and neutrino-nucleus scattering journal November 2019
Non-quadratic improved Hessian PDF reweighting and application to CMS dijet measurements at 5.02 TeV journal June 2019
Nuclear parton distributions from lepton-nucleus scattering and the impact of an electron-ion collider: NNPDF Collaboration journal June 2019
The sea of quarks and antiquarks in the nucleon journal March 2019
Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q 2 = 4 GeV 2 journal July 2019
Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation journal May 2018
The spin structure of the nucleon journal January 2005
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass text January 2020
The spin structure of the nucleon journal January 1994
Light-Cone Parton Distribution Functions from Lattice QCD text January 2018
Measurement of the longitudinal spin asymmetries for weak boson production in proton-proton collisions at s =510 GeV text January 2019
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects text January 2018
FLAG Review 2019 text January 2020
Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass text January 2020
FLAG Review 2019 text January 2020
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course conference April 2017
Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions text January 2018
Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation text January 2018
Finite-volume effects due to spatially non-local operators text January 2018
Renormalization of Wilson-line operators in the presence of nonzero quark masses text January 2018
First global QCD analysis of charged hadron fragmentation functions and their uncertainties at next-to-next-to-leading order text January 2018
A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics text January 2018
Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects text January 2018
Proton Mass Decomposition from the QCD Energy Momentum Tensor text January 2018
Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models text January 2018
A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results text January 2018
The Spin Budget of the Proton at NNLO and Beyond text January 2019
Non-quadratic improved Hessian PDF reweighting and application to CMS dijet measurements at 5.02 TeV text January 2019
Nuclear gluons at RHIC in a multi-observable approach text January 2019
Lattice QCD and Neutrino-Nucleus Scattering text January 2019
Parton Distribution Functions from Ioffe time pseudo-distributions text January 2019
Role of higher twist effects in diffractive DIS and determination of diffractive parton distribution functions text January 2019
Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass text January 2019