Master thesis defense by Konstantinos Papadimos

Title: Spinning Black Hole Binary Dynamics

Abstract: This thesis, reviews and expands on the methods used for computing classical gravita- tional observables in spinning black hole binary dynamics, using modern amplitude- based techniques. Working within the framework of Heavy Mass Effective Field Theory, and including the minimally coupled spinning three-point and four-point amplitudes, we provide all the building blocks needed for the computation of classical observables, up to third post-Minkowskian order. A novel calculation of the eikonal is presented, at all orders in spin, up to third post-Minkowskian order and first order in the angle between the angular momentum and spin, in the probe limit. This calculation is a stepping stone towards, observable computations that are exact in spin, at higher orders in PM.