O(G^4) gravitational wave scattering amplitude computed in worldline QFT with Murua decomposition, matched to black hole perturbation theory to validate the formalism for Schwarzschild black holes.
Ben-Shahar,Scattering of spinning compact objects from a worldline EFT,2311.01430
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The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresponding to the Myers-Perry solution.
Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.
Black hole response theory in WQFT exactly reproduces the Aichelburg-Sexl shockwave metric, geodesics, and the transfer matrix for gravitational-wave scattering off it via post-Minkowskian resummation.
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Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$
Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.