Angular momentum loss due to spin-orbit effects in the post-Minkowskian expansion

Abstract

We calculate the spin-orbit corrections to the loss of angular momentum in a two-body scattering at third post-Minkowskian order, $\mathcal{O}({G}^{3})$, from scattering amplitudes using the eikonal operator. These results include effects linear in spin, are valid for generic spin orientations, and are presented in a manifestly Poincar\'e covariant way. We include both radiative losses, by means of the leading-order gravitational waveform, and static losses, by means of the appropriate $\ensuremath{-}i0$ prescription in the leading soft graviton theorem, finding agreement with known results in the post-Newtonian limit.

Topics & Concepts