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On the use of the KMR unintegrated parton distribution functions

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arxiv 1803.06246 v1 pith:2OJKHDWE submitted 2018-03-16 hep-ph

On the use of the KMR unintegrated parton distribution functions

classification hep-ph
keywords distributionfunctionsupdfsuseddefinitionmomentaordinaryparton
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Numerical Study of MRW-Type Unintegrated Double Parton Distribution Functions from Non-Factorized DPDFs

    hep-ph 2026-05 unverdicted novelty 5.0

    Numerical study of MRW-type unintegrated DPDFs constructed from GS09 non-factorized collinear DPDFs via double DGLAP evolution, comparing DMKMRW, DVO-MRW and matched variants.