Radiation eikonal for post-Minkowskian observables

TL;DR

This paper extends the radiation eikonal framework to include dissipative effects from radiation, enabling the computation of scattering observables with radiation contributions in post-Minkowskian gravity.

Contribution

It introduces a generalized radiation eikonal incorporating mediator fields, allowing for the calculation of scattering observables with radiation effects.

Findings

Successfully tested on scattering waveform

Accurately predicts radiated momentum

Captures radiation loss in impulse calculations

Abstract

A recent proposal reinterprets the eikonal as the scattering generator, which computes scattering observables through an action as a symmetry generator. The aim of this study is to incorporate dissipative effects from radiation into this framework, where the eikonal is generalised to the radiation eikonal by including mediator field degrees of freedom. The proposed generalisation is tested through several post-Minkowskian scattering observables; scattering waveform, radiated momentum, and (time asymmetric) radiation loss in the impulse.