Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions
Abstract
Here, we show that quasiPDFs may be treated as hybrids of PDFs and primordial restframe momentum distributions of partons. This results in a complicated convolution nature of quasiPDFs that necessitates using large p _{3}≳ 3 GeV momenta to get reasonably close to the PDF limit. Furthemore, as an alternative approach, we propose to use pseudoPDFs P(x, z$$2\atop{3}$$) that generalize the lightfront PDFs onto spacelike intervals and are related to Ioffetime distributions M (v, z$$2\atop{3}$$), the functions of the Ioffe time v = p _{3} z _{3} and the distance parameter z$$2\atop{3}$$ with respect to which it displays perturbative evolution for small z _{3}. In this form, one may divide out the z$$2\atop{3}$$ dependence coming from the primordial restframe distribution and from the problematic factor due to lattice renormalization of the gauge link. The vdependence remains intact and determines the shape of PDFs.
 Authors:

 Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1377014
 Alternate Identifier(s):
 OSTI ID: 1377118
 Report Number(s):
 JLABTHY172455; DOE/OR/231774149; arXiv:1705.01488
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 AC0506OR23177; FG0297ER41028
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Radyushkin, Anatoly V. Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.034025.
Radyushkin, Anatoly V. Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions. United States. doi:10.1103/PhysRevD.96.034025.
Radyushkin, Anatoly V. Mon .
"Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions". United States. doi:10.1103/PhysRevD.96.034025. https://www.osti.gov/servlets/purl/1377014.
@article{osti_1377014,
title = {Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions},
author = {Radyushkin, Anatoly V.},
abstractNote = {Here, we show that quasiPDFs may be treated as hybrids of PDFs and primordial restframe momentum distributions of partons. This results in a complicated convolution nature of quasiPDFs that necessitates using large p3≳ 3 GeV momenta to get reasonably close to the PDF limit. Furthemore, as an alternative approach, we propose to use pseudoPDFs P(x, z$2\atop{3}$) that generalize the lightfront PDFs onto spacelike intervals and are related to Ioffetime distributions M (v, z$2\atop{3}$), the functions of the Ioffe time v = p3 z3 and the distance parameter z$2\atop{3}$ with respect to which it displays perturbative evolution for small z3. In this form, one may divide out the z$2\atop{3}$ dependence coming from the primordial restframe distribution and from the problematic factor due to lattice renormalization of the gauge link. The vdependence remains intact and determines the shape of PDFs.},
doi = {10.1103/PhysRevD.96.034025},
journal = {Physical Review D},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}
Web of Science
Works referenced in this record:
Lattice calculation of parton distributions
journal, July 2015
 Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent
 Physical Review D, Vol. 92, Issue 1
Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011
 Musch, B. U.; Hägler, Ph.; Negele, J. W.
 Physical Review D, Vol. 83, Issue 9
Spacetime picture of photon and neutrino scattering and electroproduction cross section asymptotics
journal, September 1969
 Ioffe, B. L.
 Physics Letters B, Vol. 30, Issue 2
Ioffetime distributions instead of parton momentum distributions in the description of deep inelastic scattering
journal, June 1995
 Braun, V.; Górnicki, P.; Mankiewicz, L.
 Physical Review D, Vol. 51, Issue 11
Nonperturbative evolution of parton quasidistributions
journal, April 2017
 Radyushkin, A. V.
 Physics Letters B, Vol. 767
Pion distribution amplitude and quasidistributions
journal, March 2017
 Radyushkin, A. V.
 Physical Review D, Vol. 95, Issue 5
Virtuality and transverse momentum dependence of the pion distribution amplitude
journal, March 2016
 Radyushkin, A. V.
 Physical Review D, Vol. 93, Issue 5
Parton Physics on a Euclidean Lattice
journal, June 2013
 Ji, Xiangdong
 Physical Review Letters, Vol. 110, Issue 26
Improved quasi parton distribution through Wilson line renormalization
journal, February 2017
 Chen, JiunnWei; Ji, Xiangdong; Zhang, JianHui
 Nuclear Physics B, Vol. 915
Renormalizability of the heavy quark effective theory
journal, January 1994
 Bagan, E.; Gosdzinsky, P.
 Physics Letters B, Vol. 320, Issue 12
Renormalizability of phase factors in nonabelian gauge theory
journal, July 1980
 Dotsenko, V. S.; Vergeles, S. N.
 Nuclear Physics B, Vol. 169, Issue 56
On spectral properties of parton correlation functions and multiparton wave functions
journal, November 1983
 Radyushkin, A. V.
 Physics Letters B, Vol. 131, Issue 13
Flavor structure of the nucleon sea from lattice QCD
journal, March 2015
 Lin, HueyWen; Chen, JiunnWei; Cohen, Saul D.
 Physical Review D, Vol. 91, Issue 5
Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016
 Chen, JiunnWei; Cohen, Saul D.; Ji, Xiangdong
 Nuclear Physics B, Vol. 911
Pion distribution amplitude from lattice QCD
journal, May 2017
 Zhang, JianHui; Chen, JiunnWei; Ji, Xiangdong
 Physical Review D, Vol. 95, Issue 9
On the renormalization and shortdistance properties of hadronic operators in QCD
journal, July 1981
 Craigie, N. S.; Dorn, H.
 Nuclear Physics B, Vol. 185, Issue 1
Works referencing / citing this record:
Drawing insights from pion parton distributions
journal, March 2020
 Ding, Minghui; Raya, Khépani; Binosi, Daniele
 Chinese Physics C, Vol. 44, Issue 3
Symmetry, symmetry breaking, and pion parton distributions
journal, March 2020
 Ding, Minghui; Raya, Khépani; Binosi, Daniele
 Physical Review D, Vol. 101, Issue 5
LightCone Parton Distribution Functions from Lattice QCD
text, January 2018
 Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
 Deutsches ElektronenSynchrotron, DESY, Hamburg