High Energy Physics - Phenomenology
[Submitted on 21 Jul 1998 (v1), last revised 16 Aug 1999 (this version, v4)]
Title:New unified evolution equation
View PDFAbstract: We propose a new unified evolution equation for parton distribution functions appropriate for both large and small Bjorken variables $x$, which is an improved version of the Ciafaloni-Catani-Fiorani-Marchesini equation. In this new equation the cancellation of soft divergences between virtual and real gluon emissions is explicit without introducing infrared cutoffs, next-to-leading contributions to the Sudakov resummation can be included systematically. It is shown that the new equation reduces to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation at large $x$, to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at small $x$, and to the modified BFKL equations with a dependence on momentum transfer $Q$ and with unitarity, if hard virtual gluon contributions and correction to strong rapidity ordering are retained, respectively.
Submission history
From: [view email][v1] Tue, 21 Jul 1998 06:51:20 UTC (32 KB)
[v2] Wed, 12 May 1999 09:09:48 UTC (24 KB)
[v3] Wed, 7 Jul 1999 07:40:22 UTC (25 KB)
[v4] Mon, 16 Aug 1999 05:40:11 UTC (25 KB)
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