Recent progress in antenna subtraction at NNLO and N$^3$LO

TL;DR

This paper reviews recent advances in the antenna subtraction method for higher-order QCD calculations, highlighting the development of generalized antenna functions and their application to NNLO and N$^3$LO jet production at electron-positron colliders.

Contribution

It introduces the definition and application of generalized antenna functions for N$^3$LO calculations, enabling more complex process computations in QCD.

Findings

First N$^3$LO differential calculation for jet production using antenna subtraction.

Extension of antenna functions to N$^3$LO facilitates tackling complex QCD processes.

Demonstrates the applicability of antenna subtraction at higher perturbative orders.

Abstract

In this contribution I will review recent developments in the antenna subtraction method for higher-order calculations in QCD. In particular, I will illustrate the definition and applications of generalised antenna functions for final-state radiation at NNLO and present the first N$^3$LO differential calculation performed entirely with antenna subtraction for jet production at electron-positron colliders. Finally, I will discuss how the extension of generalised antenna functions at N$^3$LO will allow to tackle more complicated processes at this perturbative order.