On the normalization of unintegrated parton densities

Fuente: arXiv
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Main Author: Guiot, Benjamin
Format: Preprint
Published: 2022
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author Guiot, Benjamin
author_facet Guiot, Benjamin
contents Recently, the definitions of the Kimber-Martin-Ryskin-Watt (KMRW) unintegrated parton densities (UPDFs) have been discussed by several groups. In the first part of this manuscript, we remind the issues encountered with these definitions and discuss the proposed solutions. In our opinion, none of these solutions is fully satisfactory. We observe that these issues seem to be related to the normalization condition where the UPDFs are related to the collinear PDFs by an integration over transverse momentum cut off by the factorization scale. Then, we build a modified version of the angular-ordering KMRW UPDFs, obeying the normalization condition with the transverse momentum integrated up to infinity and show that the usual issues are absent.
format Preprint
id arxiv_https___arxiv_org_abs_2205_02873
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On the normalization of unintegrated parton densities
Guiot, Benjamin
High Energy Physics - Phenomenology
Recently, the definitions of the Kimber-Martin-Ryskin-Watt (KMRW) unintegrated parton densities (UPDFs) have been discussed by several groups. In the first part of this manuscript, we remind the issues encountered with these definitions and discuss the proposed solutions. In our opinion, none of these solutions is fully satisfactory. We observe that these issues seem to be related to the normalization condition where the UPDFs are related to the collinear PDFs by an integration over transverse momentum cut off by the factorization scale. Then, we build a modified version of the angular-ordering KMRW UPDFs, obeying the normalization condition with the transverse momentum integrated up to infinity and show that the usual issues are absent.
title On the normalization of unintegrated parton densities
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2205.02873