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 — preprints:1997:ttp97-39 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP97-39 Theory of Jets in Deep Inelastic Scattering  ====== + + + The large center of mass energy and increasing statistical + precision for a wide range of hadronic + final state observables  at the HERA lepton-proton collider + has provided a detailed testing ground for QCD  dynamics. + Fully flexible next-to-leading order calculations are mandatory on the + theoretical side for such tests and will be discussed in detail. + Next-to-leading order QCD predictions for one- and two-jet cross sections + in deep inelastic  scattering  with complete neutral + current ($\gamma^\ast$ and/or $Z$) and charged current ($W^\pm$) exchange + together with leading order results for three- and four-jet final states + are presented. The theoretical framework, based on the phase space + slicing method and the use of universal crossing functions, is described + in detail. All analytical formulae necessary for the next-to-leading order + calculations are provided. The  numerical results are based on the + fully differential $ep \rightarrow n$ jets event generator \docuname\ + which allows to analyze any infrared and collinear safe observable and + general cuts in terms of parton 4-momenta. The importance of higher order + corrections is studied for various jet algorithms. Implications + and comparisons with (ongoing) experimental analyses for + jet cross sections at high $Q^2$, the determination of $\alpha_s(\mu_R)$, + the gluon density,  power corrections in event shapes and the associated + forward jet production in the low $x$ regime at HERA are discussed. + A study of jet cross sections in polarized electron and polarized + proton collisions shows that dijet events provide a good measurement of the + polarized gluon distribution $\Delta g(x_g)$, in a region, + where $x_g \Delta g(x_g)$ is expected to show a maximum. + + + |**E. Mirkes**  | + | {{preprints:1997:ttp97-39.pdf|PDF}} {{preprints:1997:ttp97-39.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9711224|arXiv]]   | + | |