Conveners
Analytical 1SF shockwave waveform to all PM orders
- Jitze Hoogeveen
Description
Strong-field effects in General Relativity may be extracted by resummation of weak-field Post-Minkowskian series. Scattering of a small black hole in an infinitely boosted Schwarzschild background, known as a shockwave, is a promising setting to explore such resummations.
In this talk we consider the waveform emitted from such a system to first order in self-force. Using the recently developed WQFT-based Response Theory, the waveform is computed to all Post-Minkowskian orders. At each order it involves Lauricella hypergeometrics, expanded in dim-reg to Multiple Polylogarithms. We explicitly present the waveform at a few leading PM orders and compare it against a fully PM-resummed numerical computation. Salient properties of the all-PM-order waveform are then discussed, before finally giving a perspective on complete resummation of the PM series.