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We discuss the different Kimber-Martin-Ryskin (KMR) prescriptions forunintegrated parton distribution functions (uPDFs). We show that thestrong-ordering (SO) and the angular-ordering (AO) cut-offs lead to strongdiscrepancies between the obtained cross sections. While the result obtainedwith the AO cut-off overestimates the heavy-flavor cross section by about afactor 3, the SO cut-off gives the correct answer. We also solve the issue ofthe KMR uPDFs definitions mentioned by Golec-Biernat and Sta\'sto, and showthat, in the case of the AO cut-off, the KMR uPDFs are ill-defined.

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