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.

12 pages, 4 figures

References in corpus (5)

• Parton distributions for the LHC
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Soft-gluon resolution scale in QCD evolution equations
• Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD
• Need for fully unintegrated parton densities

Cited by in corpus (25)

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• The analysis of Drell-Yan lepton pair production in the P-P(P) colliders using different angular ordering constraints and $k_t$-factorization approach
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