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    Impact of higher-order modes on eccentricity measurement in binary black hole gravitational waves

    Honglue Tang, Jinzhao Yang, Baoxiang Wang, and Tao Yang*

    • *Contact author: yangtao@whu.edu.cn

    Phys. Rev. D 114, 044027 – Published 10 August, 2026

    DOI: https://doi.org/10.1103/4bwb-6hv1

    Abstract

    We investigate the systematic biases in measuring orbital eccentricity for binary black hole (BBH) mergers that arise when higher-order modes (HOMs) of gravitational waves are neglected in waveform modeling. Using Bayesian inference with the state-of-the-art eccentric, spin-aligned, higher-mode effective-one-body model seobnrv5ehm, we reanalyze six previously suggested eccentric gravitational-wave events—GW190521, GW190620, GW190701, GW191109, GW200129, and GW200208_222617. Comparing results with its dominant-mode-only counterpart seobnrv5e, we find no statistically significant HOM-induced bias in eccentricity for any of these events, including GW190521, whose eccentricity has been debated in the literature. To explore representative parameter regimes vulnerable to HOM omission, we perform a broad zero-noise injection campaign varying detector-frame total mass, mass ratio, eccentricity, inclination, and network SNR. We find that significant systematic biases (Δe/σ>1) arise predominantly in systems with relatively high total mass (Mdet≳120M⊙), highly asymmetric mass ratios (q≳4), large inclinations (θJN≳30°), and high SNRs (ρmfN≈50). Notably, for quasicircular BBHs with approximately Mdet≳140M⊙, our results suggest that neglecting HOMs may lead to strong false-positive evidence for nonzero eccentricity. By contrast, for lower-mass systems (Mdet∼100M⊙), HOM exclusion produces negligible eccentricity biases. Our results demonstrate that although current eccentric candidates are not impacted by HOM omission, future eccentricity measurements—particularly for relatively massive, asymmetric, or edge-on systems—require HOM-inclusive waveforms to avoid substantial systematic errors.

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