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Title: Target mass effects in parton quasi-distributions

Abstract

We study the impact of non-zero (and apparently large) value of the nucleon mass M on the shape of parton quasi-distributions Q(y,p 3), in particular on its change with the change of the nucleon momentum p 3. We observe that the usual target-mass corrections induced by the M-dependence of the twist-2 operators are rather small. Moreover, we show that within the framework based on parametrizations by transverse momentum dependent distribution functions (TMDs) these corrections are canceled by higher-twist contributions. Lastly, we identify a novel source of kinematic target-mass dependence of TMDs and build models corrected for such dependence. We find that resulting changes may be safely neglected for p 3≳2M.

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:
1356716
Alternate Identifier(s):
OSTI ID: 1364032
Report Number(s):
JLAB-THY-17-2411; DOE/OR/23177-4068; arXiv:1702.01726
Journal ID: ISSN 0370-2693; PII: S0370269317303878
Grant/Contract Number:
AC05-06OR23177; FG02-97ER41028
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 770; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Radyushkin, A. V. Target mass effects in parton quasi-distributions. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.05.024.
Radyushkin, A. V. Target mass effects in parton quasi-distributions. United States. doi:10.1016/j.physletb.2017.05.024.
Radyushkin, A. V. Thu . "Target mass effects in parton quasi-distributions". United States. doi:10.1016/j.physletb.2017.05.024.
@article{osti_1356716,
title = {Target mass effects in parton quasi-distributions},
author = {Radyushkin, A. V.},
abstractNote = {We study the impact of non-zero (and apparently large) value of the nucleon mass M on the shape of parton quasi-distributions Q(y,p3), in particular on its change with the change of the nucleon momentum p3. We observe that the usual target-mass corrections induced by the M-dependence of the twist-2 operators are rather small. Moreover, we show that within the framework based on parametrizations by transverse momentum dependent distribution functions (TMDs) these corrections are canceled by higher-twist contributions. Lastly, we identify a novel source of kinematic target-mass dependence of TMDs and build models corrected for such dependence. We find that resulting changes may be safely neglected for p3≳2M.},
doi = {10.1016/j.physletb.2017.05.024},
journal = {Physics Letters. Section B},
number = C,
volume = 770,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2017},
month = {Thu May 11 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.05.024

Citation Metrics:
Cited by: 3works
Citation information provided by
Web of Science

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  • We study the impact of non-zero (and apparently large) value of the nucleon mass M on the shape of parton quasi-distributions Q(y,p 3), in particular on its change with the change of the nucleon momentum p 3. We observe that the usual target-mass corrections induced by the M-dependence of the twist-2 operators are rather small. Moreover, we show that within the framework based on parametrizations by transverse momentum dependent distribution functions (TMDs) these corrections are canceled by higher-twist contributions. Lastly, we identify a novel source of kinematic target-mass dependence of TMDs and build models corrected for such dependence. We findmore » that resulting changes may be safely neglected for p 3≳2M.« less
  • We study the consistency of parton distribution functions in the presence of target mass corrections (TMCs) at low Q{sup 2}. We review the standard operator product expansion derivation of TMCs in both x- and moment-space, and present the results in closed form for all unpolarized structure functions and their moments. To avoid the unphysical region at x > 1 in the standard analysis, we propose an expansion of the target mass corrected structure functions order by order in M{sup 2}/Q{sup 2}, and assess the convergence properties of the resulting forms numerically.
  • Cited by 17
  • 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, zmore » $$2\atop{3}$$) 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.« less
    Cited by 5