Jet algorithms in electron-positron annihilation: perturbative higher order predictions

This article gives results on several jet algorithms in electron-positron annihilation: Considered are the exclusive sequential recombination algorithms Durham, Geneva, Jade-E0 and Cambridge, which are typically used in electron-positron annihilation. In addition also inclusive jet algorithms are studied. Results are provided for the inclusive sequential recombination algorithms Durham, Aachen and anti-k(t), as well as the infrared-safe cone algorithm SIS-Cone. The results are obtained in perturbative QCD and are (NLO)-L-3 for the two-jet rates, NNLO for the three-jet rates, NLO for the four-jet rates and LO for the five-jet rates.