Parameter estimation of gravitational-wave signals with frequency-dependent antenna responses and higher modes

We implement frequency-dependent antenna responses and develop likelihood classes (standard likelihood, multibanded likelihood, and the relative binning (RB) likelihood) capable of handling the same within the framework of $\mathtt{\text{Bilby}}$. We validate the approximate likelihoods by comparing them with the exact likelihood for a GW170817-like signal (signal-to-noise ratio ~ 1900) containing higher-order modes of radiation. We use the relative-binning likelihood to perform parameter estimation (PE) for a GW170817-like signal, including Earth-rotation effects, detector-size effects, and higher-order modes. We study the system in several detector networks consisting of a single 40 km Cosmic Explorer, a 20 km CE and a present-generation detector at A+ sensitivity. The PE runs with RB take around a day to complete on a typical cluster.