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.

39 pages+ 4 appendices

References in corpus (13)

• New Relations for Gauge-Theory Amplitudes
• Gluon scattering amplitudes at strong coupling
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory
• On Unitarity of Tree-Level String Amplitudes
• Loop-Level Double-Copy for Massive Quantum Particles
• Amplitude bases in generic EFTs
• Positivity of the Veneziano Amplitude in $D=4$
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes
• Supersymmetric Massive Gravity
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory

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