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

Journal Article · · Physics Letters B
;

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.

Research Organization:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC-0002145; SC0002145
OSTI ID:
1592498
Alternate ID(s):
OSTI ID: 1499268
Journal Information:
Physics Letters B, Journal Name: Physics Letters B Vol. 781 Journal Issue: C; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

Cited By (3)

A phenomenological investigation of the integral and the differential versions of the $${\textit{Kimber}}$$ Kimber – $${\textit{Martin}}$$ Martin – $${\textit{Ryskin}}$$ Ryskin $${\textit{unintegrated}}$$ unintegrated parton distribution functions using two different constraints and the $${\textit{MMHT}}2014$$ MMHT 2014 $${\textit{PDF}}$$ PDF journal July 2019
A detailed study of the LHC and TEVATRON hadron–hadron prompt-photon pair production experiments in the angular ordering constraint k t -factorization approaches journal August 2019
Application of the Kimber-Martin-Ryskin and Martin-Ryskin-Watt unintegrated parton distributions to the EMC ratio of a L i 6 nucleus in the k t -factorization framework journal October 2018

Figures / Tables (4)

Fig. 1.(p. 4)figure Fig. 1.
Fig. 2.(p. 4)figure Fig. 2.
Fig. 3.(p. 4)figure Fig. 3.
Fig. 4.(p. 5)figure Fig. 4.

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS