论文标题
关于未集成的Parton密度的标准化
On the normalization of unintegrated parton densities
论文作者
论文摘要
最近,几个小组讨论了金伯 - 马丁 - ryskin-watt(KMRW)不整合的Parton密度(UPDF)的定义。在本手稿的第一部分中,我们提醒这些定义遇到的问题,并讨论提出的解决方案。我们认为,这些解决方案都不完全令人满意。我们观察到,这些问题似乎与正常化条件有关,在这种情况下,updf与共线PDF相关的情况是通过对分解量表切断的横向动量的整合而相关的。然后,我们构建了Ang-Ordering KMRW UPDF的修改版本,并以横向动量整合到Infinity,并表明通常没有问题。
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.