Niels Warburton, a physicist at University College Dublin, presents a research talk comparing four distinct theoretical frameworks used to compute gravitational radiation from hyperbolic (scattering) orbits of compact objects: self-force (SF), post-Minkowskian (PM), post-Newtonian (PN), and numerical relativity (NR). Recorded at the Institute for Advanced Study's Wolfensohn Hall as part of the workshop Black Holes from Theory to Observations, the talk walks through how each method models the two-body problem when black holes pass close and scatter rather than merge, and where their predictions for emitted gravitational wave energy and momentum agree or diverge. Warburton situates the comparison within current efforts to build accurate waveform templates for gravitational wave detectors, showing where self-force calculations extend or test the validity of post-Minkowskian and post-Newtonian expansions against full numerical relativity simulations. The talk assumes familiarity with general relativity and gravitational wave theory, pitched at researchers rather than newcomers.