Speaker
Description
Gravitational waveforms generated by the scattering of two compact bodies can be expressed as Fourier transforms of five-point amplitudes in impact-parameter space (KMOC). In this talk I will combine the Fourier and loop integrations, treating scattering waveforms as twisted period integrals, and allowing scattering-amplitude techniques to be applied directly in frequency space. By constructing the integrand via generalised unitarity and performing integration-by-parts with an exponential twist (Fourier–loop IBPs), combined Fourier–loop integrals can be decomposed into a compact basis of master integrals. This method yields the first fully analytic, velocity-exact two-body waveform at 2PM (one loop), together with its power spectrum. The framework extends naturally to spin and higher-PM orders.
