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, 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:
 Journal Article: 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. 2017.
"Quasiparton distribution functions, momentum distributions, and pseudoparton distribution functions". United States.
doi:10.1103/PhysRevD.96.034025.
@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

Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach
We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a rotationally symmetric distribution of parton momenta in the nucleon rest frame. Using the known PDFs f_1(x) and g_1(x) as input we predict the x and pTdependence of all twist2 Teven TMDs. 
Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach
We derive relations between transverse momentum dependent distribution functions and the usual parton distribution functions in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a rotationally symmetric distribution of parton momenta in the nucleon rest frame. Using the known parton distribution functions f{sub 1}{sup a}(x) and g{sub 1}{sup a}(x) as input we predict the x and p{sub T}dependence of all twist2 Teven transverse momentum dependent distribution functions.