Abstract:
In this talk, I will first review the Mano-Suzuki-Takasugi (MST) method and use it to properly define the tidal response function. Then, I will show the formulation of a parametrized formalism for calculating the tidal dissipation numbers (TDNs) of static and spherically symmetric black holes. This formalism applies to any system where the master equation has the form of the Regge-Wheeler/Zerilli equation with a small correction to the effective potential. Moreover, I will show applications of this formalism in concrete examples: the EFT of black hole perturbations, the Einstein-Maxwell system and a higher-curvature extension of general relativity.