Papers › Observing intermediate-mass black holes and the upper--stellar-mass gap with LIGO and Virgo
Observing intermediate-mass black holes and the upper--stellar-mass gap with LIGO and Virgo
Ajit Kumar Mehta, Alessandra Buonanno, Jonathan Gair, M. Coleman Miller, Ebraheem Farag, R. J. deBoer, M. Wiescher, F. X. Timmes
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Using ground-based gravitational-wave detectors, we probe the mass function of intermediate-mass black holes (IMBHs) wherein we also include BHs in the upper mass gap ∼60-130 M_⊙. Employing the projected sensitivity of the upcoming LIGO and Virgo fourth observing (O4) run, we perform Bayesian analysis on quasi-circular non-precessing, spinning IMBH binaries (IMBHBs) with total masses 50 500 M_⊙, mass ratios 1.25, 4, and 10, and dimensionless spins up to 0.95, and estimate the precision with which the source-frame parameters can be measured. We find that, at 2σ, the mass of the heavier component of IMBHBs can be constrained with an uncertainty of ∼10-40% at a signal-to-noise ratio of $20$. Focusing on the stellar-mass gap with new tabulations of the ¹²C(α, γ)¹⁶ O reaction rate and its uncertanties, we evolve massive helium core stars using \MESA\, to establish the lower and upper edge of the mass gap as ≃\,59⁺³⁴₋₁₃\,M_⊙ and ≃\,139⁺³⁰₋₁₄\,M_⊙ respectively, where the error bars give the mass range that follows from the ±3σ uncertainty in the ¹²C(α, γ) ¹⁶ O nuclear reaction rate. We find that high resolution of the tabulated reaction rate and fine temporal resolution are necessary to resolve the peak of the BH mass spectrum. We then study IMBHBs with components lying in the mass gap and show that the O4 run will be able to robustly identify most such systems. Finally, we re-analyse GW190521 with a state-of-the-art aligned-spin waveform model, finding that the primary mass lies in the mass gap with 90\% credibility.
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