Speaker
Description
The tidal deformability of a gravitating object is characterized by a set of coefficients that quantify its response to external tidal perturbations. 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, dissipative and conservative contributions become nonzero, capturing, respectively, horizon absorption and frequency-dependent corrections to the tidal Love numbers. Using the framework of 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. Finally, I will discuss how this framework for dynamical tidal response extends to neutron stars.