Modeling frequency-dependent tidal deformability for environmental black hole mergers

Motivated by events in which black holes can lose their environment due to tidal interactions a binary system, we develop waveform model the deformability interpolates between finite value (dressed hole) at relatively low frequency and zero (naked high frequency. We then apply this example case of hole dressed with an ultralight scalar field investigate detectability Love number Einstein Telescope. show that parameters could be measured accuracy, providing useful tool understand dynamical environmental effects taking place during inspiral system.