ID: 2312.04513

On-shell approach to (spinning) gravitational absorption processes

December 7, 2023

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Yu-Jui Chen, Tien Hsieh, Yu-Tin Huang, Jung-Wook Kim
High Energy Physics - Theory
General Relativity and Quant...

We utilize three point amplitudes with (spinning) particles of unequal mass and a graviton to capture the dynamics of absorption processes. We demonstrate that the construction can represent the spheroidal harmonics appearing in the Teukolsky equations. The absolute square of the ``Wilson coefficients'' in this effective description can be fixed by matching to the known absorptive cross-sections. As an application, we compute corrections to the gravitational Compton amplitude from the exchange of states corresponding to such absorption effects. In the super-extremal limit, the corrections generate the non-analytic $|a|$-dependent contribution of the Compton amplitude found in ref.\cite{Bautista:2022wjf}.

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