Pathologies of the KMR prescriptions for unintegrated PDFs: Which prescription should be preferred?
High Energy Physics - Phenomenology
2020-03-11 v2
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 Sta\'sto, and show that, in the case of the AO cut-off, the KMR uPDFs are ill-defined.
Keywords
Cite
@article{arxiv.1910.09656,
title = {Pathologies of the KMR prescriptions for unintegrated PDFs: Which prescription should be preferred?},
author = {Benjamin Guiot},
journal= {arXiv preprint arXiv:1910.09656},
year = {2020}
}
Comments
Journal version. Published in Phys. Rev. D. 19 pages, 7 figures