Speaker
Description
Amplitudes and worldline methods have emerged as powerful tools for studying the gravitational two-body problem. In particular, they have enabled major progress in the computation of scattering observables for spinning black holes at high post-Minkowskian orders. In this talk, we will build on these developments to investigate the integrability properties of Kerr black hole scattering, both in the probe limit and beyond. We will begin by reviewing the radial action and the recently introduced Dirac bracket formalism, which together motivate a notion of asymptotic integrability. Using these tools, we will show that this integrability persists to higher orders in spin than previously established. Finally, we will discuss spin-shift symmetry, a striking and still not fully understood property of spinning amplitudes, and show how, when combined with integrability constraints, it leads to a powerful bootstrap of the radial action.