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February 28, 2026Monthly Notices of the Royal Astronomical Society0 citationsOpen Access

The Missing Multipole Problem: Investigating biases from model starting frequency in gravitational-wave analyses

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RUR UrsellCHCharlie HoyIHI Harry

Key Points

  • This research aims to identify biases in inferred source properties of colliding black holes due to model starting frequency in gravitational-wave analyses.
  • Focused on binary systems with total mass ≥200 M⊙.
  • Evaluated the impact of starting frequency on waveform models.
  • Analyzed signal-to-noise ratios and mass ratios to determine biases.
  • Templates starting at 20 Hz lead to biased properties for total mass ≲ 300 M⊙ and mass ratio ≳ 0.33.
  • Lower starting frequencies (13 Hz) recover biased properties as total mass increases or asymmetry in masses grows.
  • Significant biases emerge when signal-to-noise ratios are below 20.

Abstract

Abstract Our ability to infer the true source properties of colliding black holes from gravitational wave observations requires not only accurate waveform models but also their correct use. A key property when evaluating time-domain models is when to start the waveform: choosing a time that is too late can omit low-frequency power from higher order multipoles. By focusing on binary systems with total mass ≥200 M⊙, we show that current detectors are sensitive to this missing power and biased source properties can be obtained. We show that for systems with total mass ≲ 300 M⊙, mass ratio ≳ 0.33, and signal-to-noise ratio ρ ≳ 20, templates starting at 20 Hz recover biased source properties. As the total mass increases, and the component masses become more asymmetric, templates starting from 13 Hz recover biased properties. If the gravitational-wave signal is observed at signal-to-noise ratio ρ 20, time-domain models can start from 20 Hz as statistical uncertainties dominate.

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Cite This Study

Ursell et al. (2026) studied this question.

synapsesocial.com/papers/69a286a70a974eb0d3c01c3dhttps://doi.org/10.1093/mnras/stag398
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