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Main Authors: Islam, Tousif, Wadekar, Digvijay, Kritos, Konstantinos
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.10170
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author Islam, Tousif
Wadekar, Digvijay
Kritos, Konstantinos
author_facet Islam, Tousif
Wadekar, Digvijay
Kritos, Konstantinos
contents In globular clusters, hierarchical mergers are among the most promising pathways to forming massive black holes such as GW231123. A key factor determining whether a merger-remnant black hole will be retained in these environments and thus participate in subsequent hierarchical mergers is the recoil kick velocity. Analytic models for the recoil velocity are currently employed in nearly all population-synthesis frameworks. We instead use a state-of-the-art recoil-kick model gwModel_flow_prec developed from a combination of numerical-relativity and black-hole perturbation-theory data, together with data-driven techniques such as normalizing flows and the post-Newtonian structure of the kick. Employing both back-of-the-envelope estimates and detailed N-body as well as semi-analytical cluster simulations, we show that gwModel_flow_prec leads to a noticeable increase in the retention probability of hierarchical-merger remnants compared to the previously used analytic model and changes the mass and spin distribution of the black holes formed through hierarchical mergers. Additionally, we discuss the implications of our results in the context of massive binaries such as GW231123.
format Preprint
id arxiv_https___arxiv_org_abs_2603_10170
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Kick matters: The impact of a new recoil model on the retention of hierarchical black-hole remnants in globular clusters
Islam, Tousif
Wadekar, Digvijay
Kritos, Konstantinos
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
In globular clusters, hierarchical mergers are among the most promising pathways to forming massive black holes such as GW231123. A key factor determining whether a merger-remnant black hole will be retained in these environments and thus participate in subsequent hierarchical mergers is the recoil kick velocity. Analytic models for the recoil velocity are currently employed in nearly all population-synthesis frameworks. We instead use a state-of-the-art recoil-kick model gwModel_flow_prec developed from a combination of numerical-relativity and black-hole perturbation-theory data, together with data-driven techniques such as normalizing flows and the post-Newtonian structure of the kick. Employing both back-of-the-envelope estimates and detailed N-body as well as semi-analytical cluster simulations, we show that gwModel_flow_prec leads to a noticeable increase in the retention probability of hierarchical-merger remnants compared to the previously used analytic model and changes the mass and spin distribution of the black holes formed through hierarchical mergers. Additionally, we discuss the implications of our results in the context of massive binaries such as GW231123.
title Kick matters: The impact of a new recoil model on the retention of hierarchical black-hole remnants in globular clusters
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.10170