Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories

TL;DR

This paper develops a novel quantum field theory approach to calculate the angular momentum radiated during gravitational scattering of spinning black holes, advancing analytical methods in gravitational wave physics.

Contribution

It introduces a new framework using worldline quantum field theory to compute radiated angular momentum up to quadratic order in spins at high perturbative orders.

Findings

Derived solutions for spinning bodies' trajectories up to quadratic spins.

Reproduced radiated angular momentum at 2PM order for linear spins.

Established a framework for higher-order gravitational wave predictions.

Abstract

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 sub-leading order in the frequency domain. Our approach incorporates diagrammatic techniques and modern Feynman integration technologies, and includes a new 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.