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arXiv · 2511.02915

Accuracy of ringdown models calibrated to numerical relativity simulations

Francesco Crescimbeni·Gregorio Carullo·Emanuele Berti·Giada Caneva Santoro·Mark Ho-Yeuk Cheung·Paolo Pani
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Abstract

The ''ringdown'' stage of gravitational-wave signals from binary black hole mergers, mainly consisting of a superposition of quasinormal modes emitted by the merger remnant, is a key tool to test fundamental physics and to probe black hole dynamics. However, ringdown models are known to be accurate only in the late-time, stationary regime. A key open problem in the field is to understand if these models are robust when extrapolated to earlier times, and if they can faithfully recover a larger portion of the signal. We address this question through a systematic time-domain calculation of the mismatch between non-precessing, quasi-circular ringdown models parameterised by the progenitor binary's degrees of freedom and full numerical relativity inspiral-merger-ringdown waveforms from the Simulating eXtreme Spacetimes (SXS) simulation catalog. For the best-performing models, the mismatch is typically in the range $[10^{-6}, 10^{-4}]$ for the $(\ell,|m|)= (2,2)$ harmonic, and $[10^{-4}, 10^{-2}]$ for higher-order modes. Our findings inform ongoing observational searches for quasinormal modes, and underscore the need for improved modeling of higher-order modes to meet the sensitivity requirements of future gravitational-wave detectors.

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Francesco Crescimbeni, Gregorio Carullo, Emanuele Berti, Giada Caneva Santoro, Mark Ho-Yeuk Cheung, Paolo Pani. 2025-11-04. Accuracy of ringdown models calibrated to numerical relativity simulations. https://arxiv.org/abs/2511.02915

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