Radiated angular momentum from spinning black hole scattering trajectories

Using the worldline quantum field theory approach, we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order, these trajectories are obtained in the time domain, and at subleading order, they are obtained in the frequency domain. Our approach incorporates diagrammatic techniques and modern Feynman integration technologies and includes a family of loop integrals different to those seen in asymptotic PM calculations. Our results provide a new mechanism for computing the radiated angular momentum involved in gravitational scattering, which we reproduce at 2PM order up to linear spins. We have established a framework for computing higher-order effects to further extend the high-precision frontier in analytical gravitational wave physics and push predictions for the radiated angular momentum to higher perturbative orders.