New unified evolution equation
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 1998
- DOI:
- 10.48550/arXiv.hep-ph/9807437
- arXiv:
- arXiv:hep-ph/9807437
- Bibcode:
- 1998hep.ph....7437L
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- revised version, 21 pages in Latex, 2 figures in postscript