Speaker
Description
Self Force Analytical computations has been used in the past years as an useful tool to calibrate the numerical simulations of waveforms for EMRIs. At the same time, in the field of Scattering Amplitudes, a lot of parallel work has been done in trying to compute observables related to the unbound two-bodies scattering. It has also emerged a theoretical argument that shows how it is possible to map information from scattering orbits results to the bounded case, through the so-called unbound-to-bound mapping. Because of this, also in the Self Force community, it is increased the interest in the description of the unbound motion. I will present the approach to compute analytic correction to the unbound motion in the Self-Force formalism, relying on a double Post-Minkowskian and Post-Newtonian (low velocity) expansion. We have developed a general strategy to study both gravitational and non-gravitational Self Force for any type of orbit that lies on the equatorial plane. We demonstrate our approach by computing the Self Force for a scalar charge that scatters off a Schwarzschild black hole. These results have been obtained up to 5 Post-Minkowskian and 4.5 Post-Newtonian level, showing how it is possible, with this methodology to get to the state of the art of Post-Minkowskian results. For what concerns the Post-Newtonian expansion, I will show what are the main difficulties to get to higher orders, which are fundamental for the comparison with numerical results. In conclusion, I will present some recent development in the gravitational case.
