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Title: On the use of the KMR unintegrated parton distribution functions

Abstract

We discuss the unintegrated parton distribution functions (UPDFs) introduced by Kimber, Martin and Ryskin (KMR), which are frequently used in phenomenological analyses of hard processes with transverse momenta of partons taken into account. We demonstrate numerically that the commonly used differential definition of the UPDFs leads to erroneous results for large transverse momenta. We identify the reason for that, being the use of the ordinary PDFs instead of the cutoff dependent distribution functions. We show that in phenomenological applications, the integral definition of the UPDFs with the ordinary PDFs can be used.

Authors:
;
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1592498
Alternate Identifier(s):
OSTI ID: 1499268
Grant/Contract Number:  
SC-0002145; SC0002145
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Golec-Biernat, Krzysztof, and Staśto, Anna M. On the use of the KMR unintegrated parton distribution functions. Netherlands: N. p., 2018. Web. https://doi.org/10.1016/j.physletb.2018.04.061.
Golec-Biernat, Krzysztof, & Staśto, Anna M. On the use of the KMR unintegrated parton distribution functions. Netherlands. https://doi.org/10.1016/j.physletb.2018.04.061
Golec-Biernat, Krzysztof, and Staśto, Anna M. Fri . "On the use of the KMR unintegrated parton distribution functions". Netherlands. https://doi.org/10.1016/j.physletb.2018.04.061.
@article{osti_1592498,
title = {On the use of the KMR unintegrated parton distribution functions},
author = {Golec-Biernat, Krzysztof and Staśto, Anna M.},
abstractNote = {We discuss the unintegrated parton distribution functions (UPDFs) introduced by Kimber, Martin and Ryskin (KMR), which are frequently used in phenomenological analyses of hard processes with transverse momenta of partons taken into account. We demonstrate numerically that the commonly used differential definition of the UPDFs leads to erroneous results for large transverse momenta. We identify the reason for that, being the use of the ordinary PDFs instead of the cutoff dependent distribution functions. We show that in phenomenological applications, the integral definition of the UPDFs with the ordinary PDFs can be used.},
doi = {10.1016/j.physletb.2018.04.061},
journal = {Physics Letters B},
number = C,
volume = 781,
place = {Netherlands},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.04.061

Citation Metrics:
Cited by: 7 works
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Figures / Tables:

Fig. 1. Fig. 1. : The unintegrated gluon distributionmore » $xf$ g($x, k$, $Q$ )/$k$2 as a function of $k$2 ≡ $k$$^2_⊥$ for $x$ = 10−3, 10−2, 10−1 (from top to bottom) and $Q$ = 10 GeV. The solid curves are obtained from Eq. (9) while the dashed ones from Eq. (10). The plot on the left shows the unintegrated gluon distribution with the SO cutoff (14) while the plot on the right the gluon distribution with the AO cutoff (16).« less

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