Spinning amplitudes from scalar amplitudes

Abstract

We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin $J$ exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.

Textual improvements, updated bibliography. Version to appear in JHEP

References in corpus (9)

• New Relations for Gauge-Theory Amplitudes
• The EFT-Hedron
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Gravitational spin Hamiltonians from the S matrix
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• Spin Effects in Long Range Gravitational Scattering
• The supersymmetric spinning polynomial
• A Note on S-Matrix Bootstrap for Amplitudes with Linear Spectrum

Cited by in corpus (2)

• Graviton partial waves and causality in higher dimensions
• On-shell Supersymmetry and higher-spin amplitudes