Signatures of hierarchical mergers in black hole spin and mass distribution

Recent gravitational wave (GW) observations by LIGO/Virgo show evidence for hierarchical mergers, where the merging BHs are the remnants of previous BH merger events. These events may carry important clues about the astrophysical host environments of the GW sources. In this paper, we present the dis...

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Main Authors: Tagawa, H, Haiman, Z, Bartos, I, Kocsis, B, Omukai, K
Format: Journal article
Language:English
Published: Oxford University Press 2021
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author Tagawa, H
Haiman, Z
Bartos, I
Kocsis, B
Omukai, K
author_facet Tagawa, H
Haiman, Z
Bartos, I
Kocsis, B
Omukai, K
author_sort Tagawa, H
collection OXFORD
description Recent gravitational wave (GW) observations by LIGO/Virgo show evidence for hierarchical mergers, where the merging BHs are the remnants of previous BH merger events. These events may carry important clues about the astrophysical host environments of the GW sources. In this paper, we present the distributions of the effective spin parameter (χeff), the precession spin parameter (χp), and the chirp mass (mchirp) expected in hierarchical mergers. Under a wide range of assumptions, hierarchical mergers produce (i) a monotonic increase of the average of the typical total spin for merging binaries, which we characterize with χ¯typ≡(χ2eff+χ2p)1/2⁠, up to roughly the maximum mchirp among first-generation (1g) BHs, and (ii) a plateau at χ¯typ∼0.6 at higher mchirp. We suggest that the maximum mass and typical spin magnitudes for 1g BHs can be estimated from χ¯typ as a function of mchirp. The GW data observed in LIGO/Virgo O1–O3a prefers an increase in χ¯typ at low mchirp, which is consistent with the growth of the BH spin magnitude by hierarchical mergers at ∼2σ confidence. A Bayesian analysis using the χeff, χp, and mchirp distributions suggests that 1g BHs have the maximum mass of ∼15–30M⊙ if the majority of mergers are of high-generation BHs (not among 1g–1g BHs), which is consistent with mergers in active galactic nucleus discs and/or nuclear star clusters, while if mergers mainly originate from globular clusters, 1g BHs are favoured to have non-zero spin magnitudes of ∼0.3. We also forecast that signatures for hierarchical mergers in the χ¯typ distribution can be confidently recovered once the number of GW events increases to ≳ O(100).
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spelling oxford-uuid:beaf0dc0-575c-47cc-9eeb-8edbc7a637a32022-03-27T05:41:39ZSignatures of hierarchical mergers in black hole spin and mass distributionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:beaf0dc0-575c-47cc-9eeb-8edbc7a637a3EnglishSymplectic ElementsOxford University Press2021Tagawa, HHaiman, ZBartos, IKocsis, BOmukai, KRecent gravitational wave (GW) observations by LIGO/Virgo show evidence for hierarchical mergers, where the merging BHs are the remnants of previous BH merger events. These events may carry important clues about the astrophysical host environments of the GW sources. In this paper, we present the distributions of the effective spin parameter (χeff), the precession spin parameter (χp), and the chirp mass (mchirp) expected in hierarchical mergers. Under a wide range of assumptions, hierarchical mergers produce (i) a monotonic increase of the average of the typical total spin for merging binaries, which we characterize with χ¯typ≡(χ2eff+χ2p)1/2⁠, up to roughly the maximum mchirp among first-generation (1g) BHs, and (ii) a plateau at χ¯typ∼0.6 at higher mchirp. We suggest that the maximum mass and typical spin magnitudes for 1g BHs can be estimated from χ¯typ as a function of mchirp. The GW data observed in LIGO/Virgo O1–O3a prefers an increase in χ¯typ at low mchirp, which is consistent with the growth of the BH spin magnitude by hierarchical mergers at ∼2σ confidence. A Bayesian analysis using the χeff, χp, and mchirp distributions suggests that 1g BHs have the maximum mass of ∼15–30M⊙ if the majority of mergers are of high-generation BHs (not among 1g–1g BHs), which is consistent with mergers in active galactic nucleus discs and/or nuclear star clusters, while if mergers mainly originate from globular clusters, 1g BHs are favoured to have non-zero spin magnitudes of ∼0.3. We also forecast that signatures for hierarchical mergers in the χ¯typ distribution can be confidently recovered once the number of GW events increases to ≳ O(100).
spellingShingle Tagawa, H
Haiman, Z
Bartos, I
Kocsis, B
Omukai, K
Signatures of hierarchical mergers in black hole spin and mass distribution
title Signatures of hierarchical mergers in black hole spin and mass distribution
title_full Signatures of hierarchical mergers in black hole spin and mass distribution
title_fullStr Signatures of hierarchical mergers in black hole spin and mass distribution
title_full_unstemmed Signatures of hierarchical mergers in black hole spin and mass distribution
title_short Signatures of hierarchical mergers in black hole spin and mass distribution
title_sort signatures of hierarchical mergers in black hole spin and mass distribution
work_keys_str_mv AT tagawah signaturesofhierarchicalmergersinblackholespinandmassdistribution
AT haimanz signaturesofhierarchicalmergersinblackholespinandmassdistribution
AT bartosi signaturesofhierarchicalmergersinblackholespinandmassdistribution
AT kocsisb signaturesofhierarchicalmergersinblackholespinandmassdistribution
AT omukaik signaturesofhierarchicalmergersinblackholespinandmassdistribution