Radiation eikonal for post-Minkowskian observables

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 generalized to the by including mediator field degrees of freedom. The proposed generalization is tested through several post-Minkowskian scattering observables; scattering waveform, radiated momentum, and (time-asymmetric) radiation loss in the impulse.