On-shell Supersymmetry and higher-spin amplitudes

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.

arXiv comment39 pages+ 4 appendices

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Cited by in corpus (4)

• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Five-point partial waves, splitting constraints and hidden zeros
• Massive Gauge Theories from Consistency Conditions of Amplitudes
• Three point interaction of Dirac fermions with higher spin particles and discrete symmetries