The Mellin Transform Technique for the Extraction of the Gluon Density

Details The Mellin Transform Technique for the Extraction of the Gluon Density The Mellin Transform Technique for the Extraction of the Gluon Density

1995-06-15

arxiv.org/abs/hep-ph/9506333v1

Z.Phys. C70 (1996) 77-82

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages (LaTeX); 2 figures are included via epsfig; the corresponding postscript files are uuencoded

Scientific paper

A new method is presented to determine the gluon density in the proton from jet production in deeply inelastic scattering. By using the technique of Mellin transforms not only for the solution of the scale evolution equation of the parton densities but also for the evaluation of scattering cross sections, the gluon density can be extracted in next-to-leading order QCD. The method described in this paper is, however, more general, and can be used in situations where a repeated fast numerical evaluation of scattering cross sections for varying parton distribution functions is required.

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