Recursion Relations for Gauge Theory Amplitudes with Massive Particles

TL;DR

This paper develops recursion relations for calculating tree-level scattering amplitudes involving massive particles, specifically applied to gluons and scalars, enabling more efficient computations in quantum field theory.

Contribution

It introduces general recursion relations for amplitudes with massive particles and provides new explicit results for gluon-scalar scattering amplitudes with up to four gluons.

Findings

Derived recursion relations for massive particle amplitudes

Computed new explicit amplitudes for gluons and scalars

Facilitates one-loop amplitude calculations using unitarity methods

Abstract

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide new results for all amplitudes with a pair of scalars and n < 5 gluons. These amplitudes can be used as building blocks in the computation of one-loop 6-gluon amplitudes using unitarity based methods.