Speaker
Description
The tidal deformability of a gravitating object is characterized by a set of coefficients that quantify its response to an external field perturbation. It is well known that the zero-frequency response coefficients—also known as the static tidal Love numbers—of Schwarzschild black holes vanish identically in four-dimensional general relativity. At subleading order in the adiabatic expansion, the dissipative and conservative response coefficients become nonzero, capturing, respectively, absorption across the horizon and frequency-dependent corrections to the tidal Love numbers. Using the framework of the point-particle effective field theory, I will present the calculation of the dynamical Love numbers of Schwarzschild black holes up to second order in frequency. In addition to the previously known logarithmic renormalization-group running, I will derive the scheme-dependent finite terms.
