Supersymmetry Relations Between Contributions To One-Loop Gauge Boson Amplitudes

TL;DR

The ideas motivated by string theory are applied to improve the calculational efficiency of one-loop weak interaction processes with massive external gauge bosons and supersymmetry relations between diagrams with a fermion loop and with a gauge boson loop hold are illustrated.

Abstract

We apply ideas motivated by string theory to improve the calculational efficiency of one-loop weak interaction processes with massive external gauge bosons. In certain cases ``supersymmetry'' relations between diagrams with a fermion loop and with a gauge boson loop hold. This is explicitly illustrated for a particular one-loop standard model process with four-external gauge bosons. The supersymmetry relations can be used to provide further significant improvements in calculational efficiency.