Three-jet production in electron-positron collisions using the CoLoRFulNNLO method

TL;DR

This paper presents a new subtraction method for NNLO calculations of jet cross sections in electron-positron collisions, enabling precise predictions for various event shapes including oblateness and energy-energy correlation.

Contribution

The paper introduces a novel subtraction technique for NNLO jet cross section calculations and applies it to compute multiple event shapes, some for the first time at this accuracy.

Findings

Validated the method on thrust and C-parameter.

Computed oblateness and energy-energy correlation at NNLO for the first time.

Abstract

We introduce a subtraction method for jet cross sections at next-to-next-to-leading order (NNLO) accuracy in the strong coupling and use it to compute event shapes in three-jet production in electron-positron collisions. We validate our method on two event shapes, thrust and C-parameter, which are already known in the literature at NNLO accuracy and compute for the first time oblateness and the energy-energy correlation at the same accuracy.