On-shell Supersymmetry and higher-spin amplitudes

TL;DR

This paper employs on-shell supersymmetry techniques to derive constraints on three-point functions involving massless and massive particles, leading to explicit four-point amplitude expressions in supersymmetric theories with higher-spin exchanges.

Contribution

It provides new explicit formulas for four-photon/gluon amplitudes with massive higher-spin exchange in supersymmetric theories, extending previous amplitude calculations.

Findings

Derived three-point function constraints using on-shell supersymmetry.

Obtained explicit four-point amplitude expressions for $ ext{N}=1,2,4$ theories.

Presented four-photon/gluon amplitudes with higher-spin exchange in $ ext{N}=4$ supersymmetry.

Abstract

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for $\mathcal{N}=1$, $2$ and $4$ theories. In particular, we derive the expressions for four-photon/gluon amplitudes with massive higher spin exchange in theories with $\mathcal{N}=4$ Supersymmetry in 3+1 dimensions.