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Peer-reviewedCC BYJournal of High Energy Physics

Dynamical tidal response of Schwarzschild Black Holes

6 affiliations
  1. 1Université Paris Cité, CNRS, Astroparticule et Cosmologie
  2. 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)
  3. 3The University of Chicago
  4. 4Harvard University
  5. 5Universidad Autonoma de Madrid
  6. 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  -