How to Generate Four-Fermion Phase Space

TL;DR

This paper introduces a Monte Carlo-based scheme for integrating complex four-fermion processes in electron-positron collisions, implemented in the KORALW code to improve phase space calculations.

Contribution

It presents a novel algorithm for integrating four-fermion matrix elements over phase space, enhancing computational efficiency and accuracy.

Findings

Successfully implemented in KORALW Monte Carlo code

Enables integration over complete or partial four-fermion phase space

Improves precision of theoretical predictions for e+e- collisions

Abstract

We present a scheme for integrating the matrix element of an arbitrary e^+e^-\to f_1f_2\bar f_3\bar f_4 process over the complete four-fermion phase space, or its any part, by means of the Monte Carlo technique. The presented algorithm has been successfully implemented in the KORALW Monte Carlo code.