Dynamical tidal response of Schwarzschild Black Holes
6 affiliations
- 1Université Paris Cité, CNRS, Astroparticule et Cosmologie
- 2APC (UMR_7164) - AstroParticule et Cosmologie (APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13 - France)
- 3The University of Chicago
- 4Harvard University
- 5Universidad Autonoma de Madrid
- 6Utah State University
Abstract
A bstract 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.
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BibTeX
@article{combaluzierszteinsznaider2026dynamical,
title = {{Dynamical tidal response of Schwarzschild Black Holes}},
author = {Oscar Combaluzier--Szteinsznaider and Daniel Glazer and Austin Joyce and María J. Rodríguez and Luca Santoni},
journal = {Journal of High Energy Physics},
year = {2026},
month = jun,
doi = {10.1007/jhep06(2026)032},
url = {https://doi.org/10.1007/jhep06(2026)032},
note = {CC BY},
}
RIS
TY - JOUR
TI - Dynamical tidal response of Schwarzschild Black Holes
AU - Oscar Combaluzier--Szteinsznaider
AU - Daniel Glazer
AU - Austin Joyce
AU - María J. Rodríguez
AU - Luca Santoni
PY - 2026
DA - 2026/06/03
JO - Journal of High Energy Physics
DO - 10.1007/jhep06(2026)032
UR - https://doi.org/10.1007/jhep06(2026)032
AB - A bstract 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.
SN - 1029-8479
SN - 1126-6708
SN - 1127-2236
ER -