Spinning amplitudes from scalar amplitudes
Mahesh KN Balasubramanian, Raj Patil, Arnab Rudra
TL;DR
This paper introduces a systematic method to derive scattering amplitudes involving spinning particles from scalar amplitudes across any spacetime dimension, verified through explicit examples and angular distribution calculations.
Contribution
It provides a novel, general approach to compute spinning scattering amplitudes from scalar amplitudes in arbitrary dimensions, including explicit analytic results.
Findings
Derived analytic expressions for various spinning scattering amplitudes
Verified results through angular distribution calculations in 3+1 dimensions
Demonstrated the method with the four graviton amplitude involving massive spin J exchange
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 exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.
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