Dynamical Tidal Response of Schwarzschild Black Holes
Abstract
Dynamical Love numbers capture the conservative response of an object to a time-dependent external tidal gravitational field. We compute the dynamical Love numbers of Schwarzschild black holes in general relativity within a point-particle effective field theory framework. In addition to the known logarithmic running, we compute the finite scheme-dependent contributions to the Love number couplings. We do this by matching the renormalized one-point function in the effective theory to the classical field profile computed in general relativity. On the general relativity side, we solve the Regge-Wheeler and Zerilli equations perturbatively in a small frequency expansion. In order to match on the effective field theory side we include gravitational interactions using the Born series and employ dimensional regularization to obtain a renormalized field profile.
Keywords
Cite
@article{arxiv.2511.02372,
title = {Dynamical Tidal Response of Schwarzschild Black Holes},
author = {Oscar Combaluzier--Szteinsznaider and Daniel Glazer and Austin Joyce and Maria J. Rodriguez and Luca Santoni},
journal= {arXiv preprint arXiv:2511.02372},
year = {2026}
}
Comments
65 pages, minor typos fixed