Pathologies of the KMR prescriptions for unintegrated PDFs: Which prescription should be preferred?

Abstract

We discuss the different Kimber-Martin-Ryskin (KMR) prescriptions for unintegrated parton distribution functions (uPDFs). We show that the strong-ordering (SO) and the angular-ordering (AO) cut-offs lead to strong discrepancies between the obtained cross sections. While the result obtained with the AO cut-off overestimates the heavy-flavor cross section by about a factor 3, the SO cut-off gives the correct answer. We also solve the issue of the KMR uPDFs definitions mentioned by Golec-Biernat and Staśto, and show that, in the case of the AO cut-off, the KMR uPDFs are ill-defined.

Journal version. Published in Phys. Rev. D. 19 pages, 7 figures

References in corpus (3)

• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• Dynamical resolution scale in transverse momentum distributions at the LHC
• Open charm production at high energies and the quark Reggeization hypothesis

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