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Adding equatorial-asymmetric effects for spin-precessing binaries into the seobnrv5phm waveform model

Héctor Estellés1, Alessandra Buonanno1,2, Raffi Enficiaud1, Cheng Foo1, and Lorenzo Pompili1

Phys. Rev. D 113, 044049 – Published 18 February, 2026

DOI: https://doi.org/10.1103/pjbd-pjxn

Abstract

Gravitational waves from spin-precessing binaries exhibit equatorial asymmetries absent in nonprecessing systems, leading to net linear momentum emission and contributing to the remnant’s recoil. This effect, recently incorporated into only a few waveform models, is crucial for accurate recoil predictions and improved parameter estimation. We present an upgrade to the seobnrv5phm model—SEOBNRv5PHMw/asym—which includes equatorial asymmetric contributions to the ℓ=m≤4 waveform modes in the co-precessing frame. The model combines post-Newtonian inputs with calibrated amplitude and phase corrections and a phenomenological merger-ringdown description, tuned against 1523 quasicircular spin-precessing numerical relativity waveforms and single-spin-precessing test-body plunging-geodesic waveforms. We find that SEOBNRv5PHMw/asym improves the agreement with numerical relativity waveforms across inclinations, with median unfaithfulness reduced by up to 50% compared to seobnrv5phm, and achieves 30%–60% lower unfaithfulness than imrphenomxpnr and 76%–80% lower than teobresums_dali. The model significantly improves the prediction of the recoil velocity, reducing the median relative error with numerical relativity from 70% to 1%. Bayesian inference on synthetic injections demonstrates improved recovery of spin orientations and mass parameters, and a reanalysis of GW200129 shows a threefold increase in the spin-precessing Bayes factor, highlighting the importance of these effects for interpreting spin-precessing events.

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