How to calculate colourful cross sections efficiently

TL;DR

This paper compares various computational methods for calculating QCD cross sections with many particles, highlighting their efficiencies across different jet multiplicities.

Contribution

It provides a systematic comparison of CSW vertex rules, Berends-Giele recursion, and Feynman-diagram techniques for QCD cross section calculations.

Findings

CSW technique is efficient at specific jet multiplicities

Comparison of methods reveals efficiency windows

Implementation of multiple techniques for performance analysis

Abstract

Different methods for the calculation of cross sections with many QCD particles are compared. To this end, CSW vertex rules, Berends-Giele recursion and Feynman-diagram based techniques are implemented as well as various methods for the treatment of colours and phase space integration. We find that typically there is only a small window of jet multiplicities, where the CSW technique has efficiencies comparable or better than both of the other two methods.