An Improved Framework for Computing Waveforms

TL;DR

This paper introduces an enhanced computational framework combining multiple theoretical techniques to efficiently calculate scattering waveforms, demonstrated on charged bodies and promising applications in gravitational wave analysis.

Contribution

It develops a novel framework integrating observable formalism, unitarity, and IBP reduction, enabling efficient waveform calculations in classical and gravitational contexts.

Findings

Framework successfully applied to charged body scattering

Facilitates future one-loop waveform computations in General Relativity

Improves computational efficiency over previous methods

Abstract

We combine the observable-based formalism (KMOC), the analytic properties of the scattering amplitude, generalised unitarity and the heavy-mass expansion with a newly introduced IBP reduction for Fourier integrals, to provide an efficient framework for computing scattering waveforms. We apply this framework to the scattering of two charged massive bodies in classical electrodynamics. Our work paves the way for the computation of the analytic one-loop waveform in General Relativity.