Nonlinear curvature effects in gravitational waves from inspiralling black hole binaries

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. This requires accurate predictions of GWs in extensions of General Relativity. We compute waveforms in a subset of quadratic gravity theories motivated by the low-energy limit of quantum gravity paradigms. Working in the first post-Newtonian approximation, where the new effects of curvature nonlinearities beyond a scalar field first appear, we quantify the impact on the GW phasing and parameter dependence. Our results lay an important foundation for future precision tests of gravity.