Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD

TL;DR

This paper presents the first N$^3$LO QCD calculations for two-jet production at electron-positron colliders, advancing precision in theoretical predictions for jet observables.

Contribution

It introduces antenna subtraction at N$^3$LO$ and provides the first fully differential predictions for two-jet production at electron-positron colliders.

Findings

First N$^3$LO correction to two-jet rate computed.

Infrared counterterms structure illustrated.

Results for leading-jet energy provided.

Abstract

We present the first application of antenna subtraction at next-to-next-to-next-to-leading order (N$^3$LO) in QCD by computing fully differential predictions for two-jet production at electron-positron colliders. We illustrate the structure of the infrared counterterms and provide results for the N$^3$LO correction to the two-jet production rate and to the leading-jet energy. Our work constitutes the first direct calculation of jet production at electron-positron colliders at N$^3$LO and represents the first step in tackling arbitrary processes with jets at this perturbative order.