On-shell approach to (spinning) gravitational absorption processes

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 $\mathrm{\mid }a\mathrm{\mid }$-dependent contribution of the Compton amplitude found in ref.\cite{Bautista:2022wjf}.