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

Matteo Marcoli

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.

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

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 NLO 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 NLO will allow to tackle more complicated processes at this perturbative order.
Paper Structure (4 sections, 2 equations, 2 figures)

This paper contains 4 sections, 2 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Generalised antenna functions for final-state radiation at NNLO
  3. Jet production in electron-positron annihilation at N$^3$LO with antenna subtraction
  4. Conclusions and outlook

Figures (2)

  • Figure 1: Emission topologies at NLO (a) and NNLO (b)--(d). Blue lines denote hard radiators; red dashed lines denote unresolved emissions. The almost colour-connected topology (d) is the most problematic and motivates the introduction of generalised antenna functions.
  • Figure 2: Two-jet rate $R_2(y_\text{cut})$ as a function of the Durham jet resolution parameter $y_\text{cut}$, computed at LO, NLO, NNLO and N$^3$LO with $\alpha_s(m_Z) = 0.118$. The lower panel shows the ratio to the NNLO result. Figure from Ref. Chen:2025kez.