Event shapes and jet rates in electron-positron annihilation at NNLO

TL;DR

This paper presents next-to-next-to-leading order (NNLO) perturbative calculations for key event shape variables and jet rates in electron-positron annihilation, enhancing precision in theoretical predictions for three-jet events.

Contribution

The paper provides the first NNLO results for multiple event shape variables and jet rates, improving the accuracy of theoretical models in electron-positron collision analyses.

Findings

NNLO results for Thrust, heavy jet mass, and jet broadening variables.

NNLO calculations for Durham, Geneva, Jade-E0, and Cambridge jet algorithms.

Enhanced precision in theoretical predictions for three-jet event observables.

Abstract

This article gives the perturbative NNLO results for the most commonly used event shape variables associated to three-jet events in electron-positron annihilation: Thrust, heavy jet mass, wide jet broadening, total jet broadening, C parameter and the Durham three-to-two jet transition variable. In addition the NNLO results for the jet rates corresponding to the Durham, Geneva, Jade-E0 and Cambridge jet algorithms are presented.