Oα s3 QCD calculations of jet production and one hadron inclusive production from hadronic collisions

Hadron jets from hadronic colliders are an important tool to test in a quantitative way the QCD improved parton model. The present situation as will been seen in this paper does not allow to perform a quantitative comparison between QCD and experiment. Besides the uncertainty in the knowledge of integrated luminosity the main systematic experimental error is the lack of precision in the measurement of the jet energy in the calorimeter, leading to an overall uncertainty of ± 50%. On the theoretical side the data on inclusive jet production can be compared directly either to Born cross section (involving a two body o (αs2) parton parton scattering at subprocess level) or to sophisticated Monte Carlo programs including a part of higher order corrections. It should be stressed that the main theoretical uncertainty, i.e. the dependence of cross sections on scales M of evoluted parton densities (factorization scale) and of the strong coupling constant μ (renormalization scale) can be reduced by performing a complete o(αs3) calculation of subprocesses