Massive On-Shell Supersymmetric Scattering Amplitudes

Abstract

We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism. This enables us to construct massive on-shell superfields and fully utilize on-shell symmetry considerations to derive all possible $\mathcal{N}=1$ three-particle amplitudes for particles of spin as high as one, as well as some simple amplitudes for particles of any spin. Throughout, the conceptual and computational simplicity of this approach is exhibited.

v2: Small Corrections, additional discussion of higher spin multiplets

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Cited by in corpus (14)

• Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
• The electroweak effective field theory from on-shell amplitudes
• The Rise of SMEFT On-shell Amplitudes
• On-shell Higgsing for EFTs
• Algebraic branch points at all loop orders from positive kinematics and wall crossing
• On-Shell Electroweak Sector and the Higgs Mechanism
• Recursion relations for scattering amplitudes with massive particles
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Supersymmetric Massive Gravity
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory
• On-shell Supersymmetry and higher-spin amplitudes
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Hidden U(N) Symmetry behind N=1 Superamplitudes