Compact multigluonic scattering amplitudes with heavy scalars and fermions

TL;DR

This paper derives a compact expression for scattering amplitudes involving heavy scalars or fermions and multiple positive helicity gluons, confirming SUSY-like relations between these amplitudes.

Contribution

It introduces a new compact formula for multigluonic scattering amplitudes with heavy scalars and fermions, utilizing combined recursion relations.

Findings

Derived a compact amplitude expression for heavy scalars with gluons

Confirmed SUSY-like Ward identities relating scalar and fermion amplitudes

Provided explicit relations between heavy scalar and fermion scattering amplitudes

Abstract

Combining the Berends-Giele and on-shell recursion relations we obtain an extremely compact expression for the scattering amplitude of a complex scalar-antiscalar pair and an arbitrary number of positive helicity gluons. This is one of the basic building blocks for constructing other helicity configurations from recursion relations. We also show explicity that the all positive helicity gluons amplitude for heavy fermions is proportional to the scalar one, confirming in this way the recently advocated SUSY-like Ward identities relating both amplitudes.