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

TL;DR

This paper presents high-precision perturbative QCD predictions for various jet algorithms in electron-positron annihilation, including exclusive and inclusive methods, up to next-to-next-to-next-to-leading order for two-jet rates.

Contribution

It provides the first NNNLO calculations for two-jet rates and NNLO for three-jet rates across multiple jet algorithms in electron-positron annihilation.

Findings

NNNLO results for two-jet rates

NNLO results for three-jet rates

LO results for five-jet rates

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-kt, as well as the infrared-safe cone algorithm SISCone. The results are obtained in perturbative QCD and are NNNLO for the two-jet rates, NNLO for the three-jet rates, NLO for the four-jet rates and LO for the five-jet rates.