Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-07-21
Chin.J.Phys. 38 (2000) 801-813
Physics
High Energy Physics
High Energy Physics - Phenomenology
revised version, 21 pages in Latex, 2 figures in postscript
Scientific paper
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.
Li Hsiang-nan
Lim Jyh-Liong
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