Eur. Phys. J. C (2011) 71: 1565
https://doi.org/10.1140/epjc/s10052-011-1565-x

Regular Article - Theoretical Physics

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

Institut für Physik, Universität Mainz, 55099, Mainz, Germany

^* e-mail: stefanw@thep.physik.uni-mainz.de

Received: 30 November 2010
Revised: 18 January 2011
Published online: 22 February 2011

Abstract

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 SISCone. The results are obtained in perturbative QCD and are N³LO for the two-jet rates, NNLO for the three-jet rates, NLO for the four-jet rates and LO for the five-jet rates.