Highly eccentric non-spinning binary black hole mergers: quadrupolar post-merger waveforms
N. Rao, G. Carullo, 2026
We present numerically-informed closed-form expressions for the dominant
(ℓ,m)=(2,2) waveform harmonic of the post-merger emission from mergers of non-spinning binary black holes with comparable masses on highly eccentric orbits. Using 233 non-spinning eccentric simulations from the RIT catalog, we construct time-dependent complex quasinormal mode amplitudes via a Bayesian procedure. We build multivariate polynomial models, represented as functions of the symmetric mass ratio
ν and two dynamics parameters evaluated at merger: the mass-rescaled effective energy
E^effmrg and angular momentum
jmrg. We further validate the post-merger non-circular waveform model by comparing it against simulations from the SXS catalog. Our models achieve mismatches around
∼10−3, including for near-extreme eccentricities. The model can be directly combined with effective-one-body and phenomenological inspiral waveforms to produce accurate inspiral-merger-ringdown waveforms, essential for parameter estimation of both astrophysical and fundamental physics properties of the signals' sources.