Measurement of the Gluon Density from Jet Rates in Deep Inelastic Scattering

A new method is presented to determine the gluon density in the proton from jet production in deep 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 NLO QCD This method 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 The Mellin transform technique is applied to a data set consisting of a luminosity of pb collected with the H detector in to extract the gluon density in NLO from jet rates using the JADE algorithm The momentum fraction domain of is covered for this rst direct extraction of the gluon density in NLO