Parameter Estimation for GW200208\_22 with Targeted Eccentric Numerical-relativity Simulations

Abstract: We have analyzed LVK gravitational wave events that show some evidence of eccentricity from TEOBResumS modeling parameter estimations and have confronted them independently with full numerical generated waveforms from our bank of nearly two thousand simulations of binary black holes. We have used RIFT for Bayesian parameter estimation and found that GW200208_{22} KDE estimates favor eccentricities $e_{20} = 0.217_{-0.184}^{+0.076}$ upon entering the LVK band at $\sim20$Hz within a 90\% confidence limit. Within this event analysis we employed 39 new targeted full numerical relativity simulations and we have thus found a top improved likelihood $\ln \mathcal{L}$ matching waveform, compared to model-based analysis, with an estimated eccentricity at 20Hz, $e_{20}=0.200$, thus reinforcing the eccentric hypothesis of the binary. We have also used our full bank of numerical waveforms on GW190620 finding that it favors eccentricities in the range of {$0\leq e_{10}\leq0.3$}. New specifically targeted simulations will be required to narrow this eccentricity range.