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Title: Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions

Abstract

Here, we show that quasi-PDFs may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs 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 pseudo-PDFs P(x, z$$2\atop{3}$$) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time 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 rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The v-dependence remains intact and determines the shape of PDFs.

Authors:
 [1]
  1. 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) (SC-26)
OSTI Identifier:
1377014
Alternate Identifier(s):
OSTI ID: 1377118
Report Number(s):
JLAB-THY-17-2455; DOE/OR/23177-4149; arXiv:1705.01488
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC05-06OR23177; FG02-97ER41028
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; 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

Citation Formats

Radyushkin, Anatoly V. Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.034025.
Radyushkin, Anatoly V. Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions. United States. doi:10.1103/PhysRevD.96.034025.
Radyushkin, Anatoly V. Mon . "Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions". United States. doi:10.1103/PhysRevD.96.034025. https://www.osti.gov/servlets/purl/1377014.
@article{osti_1377014,
title = {Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions},
author = {Radyushkin, Anatoly V.},
abstractNote = {Here, we show that quasi-PDFs may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs 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 pseudo-PDFs P(x, z$2\atop{3}$) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time 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 rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The v-dependence 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}
}

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Virtuality distributions in application to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>γ</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math> transition form factor at handbag level
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    Works referencing / citing this record:

    Drawing insights from pion parton distributions
    journal, March 2020


    Symmetry, symmetry breaking, and pion parton distributions
    journal, March 2020


    Light-Cone Parton Distribution Functions from Lattice QCD
    text, January 2018

    • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-03714