Spinning amplitudes from scalar amplitudes. (English) Zbl 1521.81139
Summary: 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.
MSC:
| 81T11 | Higher spin theories |
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
| 83C45 | Quantization of the gravitational field |
| 83C57 | Black holes |
| 81U05 | \(2\)-body potential quantum scattering theory |
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