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Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model seobnrv5ehm

Aldo Gamboa1,*, Alessandra Buonanno1,2, Raffi Enficiaud1, Mohammed Khalil3, Antoni Ramos-Buades4, Lorenzo Pompili1, Héctor Estellés1, Michael Boyle5, Lawrence E. Kidder5 et al.

Harald P. Pfeiffer1, Hannes R. Rüter1,6, and Mark A. Scheel7

  • *Contact author: aldo.gamboa@aei.mpg.de
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Phys. Rev. D 112, 044038 – Published 21 August, 2025

DOI: https://doi.org/10.1103/jxrc-z298

Abstract

The measurement of orbital eccentricity in gravitational-wave (GW) signals will provide unique insights into the astrophysical origin of binary systems, while ignoring eccentricity in waveform models could introduce significant biases in parameter estimation and tests of general relativity. Upcoming LIGO-Virgo-KAGRA observing runs are expected to detect a subpopulation of eccentric signals, making it vital to develop accurate waveform models for eccentric orbits. Here, employing recent analytical results through the third post-Newtonian order, we develop seobnrv5ehm: a new time-domain, effective-one-body, multipolar waveform model for eccentric binary black holes with spins aligned (or antialigned) with the orbital angular momentum. Besides the dominant (2, 2) mode, the model includes the (2, 1), (3, 3), (3, 2), (4, 4), and (4, 3) modes. We validate the model’s accuracy by computing its unfaithfulness against 99 (28 public and 71 private) eccentric numerical-relativity (NR) simulations, produced by the Simulating eXtreme Spacetimes Collaboration. Importantly, for NR waveforms with initial GW eccentricities below 0.5, the maximum (2, 2)-mode unfaithfulness across the total mass range 20–200M⊙ is consistently below or close to 1%, with a median value of ∼0.02%, reflecting an accuracy improvement of approximately an order of magnitude compared to the previous-generation seobnrv4ehm and the state-of-the-art teobresums-dalí eccentric model. In the quasi-circular-orbit limit, seobnrv5ehm is in excellent agreement with the highly accurate seobnrv5hm model. The accuracy, robustness, and speed of seobnrv5ehm make it suitable for data analysis and astrophysical studies. We demonstrate this by performing a set of recovery studies of synthetic NR-signal injections, and parameter-estimation analyses of the events GW150914 and GW190521, which we find to have no eccentricity signatures.

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Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model seobnrv5ehm

Aldo Gamboa, Mohammed Khalil, and Alessandra Buonanno
Phys. Rev. D 112, 044037 (2025)

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Phys. Rev. D 112, 044038– Published 21 August, 2025
  • Received 17 January 2025
  • Accepted 22 July 2025
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