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arxiv: 2511.12580 · v3 · submitted 2025-11-16 · 🌀 gr-qc · hep-th

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Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT

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classification 🌀 gr-qc hep-th
keywords tidalresponsedynamicalambiguitiesbinaryblackformalismgravitational
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The response of a black hole (BH) to tidal forces encodes key information about the underlying gravitational theory and affects the waveform of gravitational waves emitted during binary inspiral processes. In this paper, we analyze the dynamical tidal response of static and spherically symmetric BHs in a low-frequency regime within general relativity (GR), based on a matching between the Mano-Suzuki-Takasugi (MST) methods for an analytical approach to BH perturbations and the worldline effective field theory (EFT) for an efficient and unified computation of the binary dynamics within the post-Newtonian regime. We show that the renormalized tidal response function is subject to inevitable ambiguities associated with the choice of renormalization scheme and with the initial condition of the renormalization flow equation. Once these ambiguities are fixed, we obtain scheme-dependent dynamical tidal Love numbers. We also discuss possible extensions of our formalism, including generic non-rotating compact objects (e.g., neutron stars) in GR and BHs in theories beyond GR.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Dynamical tidal Love numbers of black holes under generic perturbations: Connecting black hole perturbation theory with effective field theory

    gr-qc 2026-05 unverdicted novelty 7.0

    Dynamical tidal Love numbers for Kerr black holes are obtained to linear frequency order by matching EFT worldline couplings to black-hole perturbation solutions, including spin-induced mode mixing.

  2. Gravitational Sommerfeld Effects: Formalism, Renormalization, and Perturbation to $O(G^{10})$

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    Closed-form Sommerfeld factor via EFT connection matrix with analytic O(G^10) magnitude and phase for l=0,1,2 waves, plus a new RG equation for radiative multipole moments that improves waveform resummation beyond tai...

  3. Tidal Response of Compact Objects

    gr-qc 2026-04 unverdicted novelty 2.0

    This review summarizes tidal Love numbers and dissipation effects for black holes, neutron stars, and exotic objects, noting vanishing static bosonic Love numbers for black holes in GR but nonzero values for fermions ...

  4. Love numbers of black holes and compact objects

    gr-qc 2026-04 unverdicted novelty 2.0

    A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.