Orateur
Description
The response of a black hole to an external tidal field is encapsulated in the so-called Love numbers. While these are well known in the context of static and linear perturbations, future developments of gravitational-wave astronomy will require more precise results, taking subleading effects into account.
In the talk, I will show how to compute the response of a Schwarzschild black hole to a time-dependent external tidal gravitational field, up to second-order in frequency, using the framework of the point-particle effective field theory (EFT). In addition to the known logarithmic running of the dynamical Love numbers, I will present the derivation of the scheme-dependent finite terms. The result is obtained by matching the renormalized one-point function in the EFT to the solution of the linearized Einstein equations in general relativity. On the general-relativistic side, the linearized equations of motion are solved perturbatively in a small-frequency expansion, while, on the EFT side, we include gravitational interactions and employ dimensional regularization to obtain a renormalized solution.
