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Avoiding a Cluster Catastrophe: Retention Efficiency and the Binary Black Hole Mass Spectrum

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arxiv 2205.08549 v3 pith:VGXS7KG6 submitted 2022-05-17 astro-ph.HE gr-qc

classification astro-ph.HEgr-qc
keywords blackmergersholebinarymassenvironmentshierarchicalmerger
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The population of binary black hole mergers identified through gravitational waves has uncovered unexpected features in the intrinsic properties of black holes in the universe. One particularly surprising and exciting result is the possible existence of black holes in the pair-instability mass gap, $\sim50-120~M_\odot$. Dense stellar environments can populate this region of mass space through hierarchical mergers, with the retention efficiency of black hole merger products strongly dependent on the escape velocity of the host environment. We use simple toy models to represent hierarchical merger scenarios in various dynamical environments. We find that hierarchical mergers in environments with high escape velocities $(\gtrsim300~\mathrm{km\,s}^{-1})$ are efficiently retained. If such environments dominate the binary black hole merger rate, this would lead to an abundance of high-mass mergers that is potentially incompatible with the empirical mass spectrum from the current catalog of binary black hole mergers. Models that efficiently generate hierarchical mergers, and contribute significantly to the observed population, must therefore be tuned to avoid a "cluster catastrophe" of overproducing binary black hole mergers within and above the pair-instability mass gap.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Four-dimensional Model-agnostic Probe into the Astrophysical Origins of Binary Black Hole Subpopulations

    astro-ph.HE 2026-07 conditional novelty 7.0 of 10

    A GPU-accelerated binned Gaussian process yields the first model-agnostic 4D BBH population in (m1, q, χeff, χp), revealing four mass-based subpopulations and new spin-mass-ratio correlations.

  2. Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset

    gr-qc 2026-01 unverdicted novelty 6.0 of 10

    GWTC-4 data show a transition to nearly all hierarchical mergers above 46 solar masses, with the hierarchical rate peaking at 15.7 solar masses, indicating mass-dependent substructure in black hole spins.

  3. Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset

    gr-qc 2026-01 conditional novelty 6.0 of 10

    Using a joint effective-spin and precession-spin model on 155 gravitational-wave events, the authors infer that the hierarchical (second-generation) merger fraction rises sharply above ~46 M_sun and peaks again near 1...

  4. The first decade of gravitational-wave measurements of black hole spins

    gr-qc 2026-06 conditional novelty 1.0 of 10

    A decade of gravitational-wave data shows most merging stellar-mass black holes have small spins, with subdominant fast-spinning, misaligned, and hierarchical-merger populations.

  5. The first decade of gravitational-wave measurements of black hole spins

    gr-qc 2026-06 unverdicted

    A review summarizing formation-channel predictions, waveform effects, and population-level constraints on stellar-mass black hole spins from the first decade of gravitational-wave observations.

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