# Higher order corrections in the CoLoRFulNNLO framework

## TL;DR

This paper introduces the CoLoRFulNNLO method for calculating higher order radiative corrections in jet cross sections within perturbative QCD, applying it to event shapes and jet rates in electron-positron collisions, and validating it against existing results and experimental data.

## Contribution

The paper presents a novel computational framework, CoLoRFulNNLO, for precise NNLO calculations of jet observables in QCD, including new results for three-jet rates and event shapes.

## Key findings

- Validated NNLO predictions against previous literature
- Presented jet cone energy fraction distribution at NNLO
- Compared NNLO three-jet rates with LEP data

## Abstract

We discuss the CoLoRFulNNLO method for computing higher order radiative corrections to jet cross sections in perturbative QCD. We apply our method to the calculation of event shapes and jet rates in three-jet production in electron-positron annihilation. We validate our code by comparing our predictions to previous results in the literature and present the jet cone energy fraction distribution at NNLO accuracy. We also present preliminary NNLO results for the three-jet rate using the Durham jet clustering algorithm matched to resummed predictions at NLL accuracy, and a comparison to LEP data.