Sep 9 – 13, 2019
Europe/Zurich timezone

## Analytic Two-Loop Five-Parton QCD Amplitudes from Numerical Unitarity

Sep 10, 2019, 10:00 AM
25m
Chambre du Trésorier

### Speaker

Vasily Sotnikov (University of Freiburg)

### Description

We present the analytic form of all two-loop five-parton helicity amplitudes required for the calculation of NNLO QCD corrections to the production of three jets at hadron colliders in the leading-color approximation. The results are analytically reconstructed from exact numerical evaluations over finite fields. We employ a number of physics-motivated ideas to facilitate the reconstruction, as well as an optimized approach to the numerical treatment of particle states in $D$ dimensions. This allows to obtain the analytical expressions with a modest computational effort. Systematic simplification of the amplitudes using multivariate partial-fraction decomposition leads to a particularly compact form.

### Primary authors

Ben Page (IPhT CEA Saclay) Fernando Febres Cordero (University of Freiburg) Harald Ita (Freiburg University) Jerry Dormans (University of Freiburg) Samuel Abreu (CP3, UC Louvain) Vasily Sotnikov (University of Freiburg)