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We present a novel framework to infer the mass of clusters that host hierarchical binary black hole (BBH) mergers detected with gravitational-waves (GWs), on a single event basis. We show that the requirement that a second-generation (2G)…

High Energy Astrophysical Phenomena · Physics 2026-02-06 Avinash Tiwari , Shasvath J. Kapadia

Hierarchical structure formation inevitably leads to the formation of supermassive binary black holes (BBHs) with a sub-parsec separation in galactic nuclei. However, to date there has been no unambiguous detection of such systems. In an…

Astrophysics · Physics 2009-11-13 Kimitake Hayasaki , Shin Mineshige , Luis C. Ho

Stellar-mass black hole binaries (SBHBs), like those currently being detected with the ground-based gravitational-wave (GW) observatories LIGO and Virgo, are also an anticipated GW source for LISA. LISA will observe them during the early…

General Relativity and Quantum Cosmology · Physics 2021-01-07 Alexandre Toubiana , Sylvain Marsat , Stanislav Babak , John Baker , Tito Dal Canton

The merging black hole binaries detected by the LIGO-Virgo-KAGRA (LVK) gravitational-wave observatories, may help us shed light on how such binaries form. In addition, these detections can help us probe the hypothesized primordial black…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-21 Mehdi El Bouhaddouti , Ilias Cholis

We present a comprehensive parameter-space study of binary black hole (BBH) mergers using the SEOBNRv4\_opt waveform model. Our analysis spans $\sim 10^6$ simulated waveforms across a broad range of mass ratios \( q = \frac{m_1}{m_2} \in…

High Energy Astrophysical Phenomena · Physics 2025-12-19 İsmail Özbakır , Kadri Yakut

The knowledge about the black hole mass function (BHMF) and its evolution would help to understand the origin of the BHs and how BH binaries formed at different stages of the history of the Universe. We demonstrate the ability of future…

Astrophysics of Galaxies · Physics 2020-03-11 Xuheng Ding , Kai Liao , Marek Biesiada , Zong-Hong Zhu

We propose a machine learning-based approach for parameter estimation of Massive Black Hole Binaries (MBHBs), leveraging normalizing flows to approximate the likelihood function. By training these flows on simulated data, we can generate…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Iván Martín Vílchez , Carlos F. Sopuerta

We introduce a novel black hole mass function which realistically models the physics of star formation and pair instability supernova with a minimal number of parameters. Applying this to all events in the LIGO-Virgo GWTC-2 catalog, we…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 Eric J. Baxter , Djuna Croon , Samuel D. McDermott , Jeremy Sakstein

Stellar mass black holes (BHs) are expected to segregate and form a steep density cusp around supermassive black holes (SMBHs) in galactic nuclei. We follow the evolution of a multi-mass system of BHs and stars by numerically integrating…

Astrophysics · Physics 2009-11-13 Ryan M. O'Leary , Bence Kocsis , Abraham Loeb

Binary black hole (BBH) mergers detected via gravitational waves are addressing key open questions in astrophysics, cosmology, and fundamental physics. Our scientific conclusions rely on extracting accurate source parameters, for which we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Parthapratim Mahapatra , Jonathan E. Thompson , Edward Fauchon-Jones , Mark Hannam

Third-generation (3G) gravitational-wave (GW) detectors will be able to observe binary-black-hole mergers (BBHs) up to redshift of $\sim 30$. This gives unprecedented access to the formation and evolution of BBHs throughout cosmic history.…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Ken K. Y. Ng , Salvatore Vitale , Will M. Farr , Carl L. Rodriguez

Observations of binary inspirals with LISA will allow us to place bounds on alternative theories of gravity and to study the merger history of massive black holes (MBH). These possibilities rely on LISA's parameter estimation accuracy. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Alessandra Buonanno , Clifford M. Will

The recent O4a release from the LIGO-Virgo-KAGRA collaboration, which significantly increased the number of gravitational-wave (GW) detections, reveals features with potentially important astrophysical implications. One notable example is a…

High Energy Astrophysical Phenomena · Physics 2026-04-22 Aleksandra Olejak

The formation and evolution of binary black holes (BH) is studied using the modern evolutionary scenario for very massive stars with high mass loss (Vanbeveren et al. 1998). Main sequence stars with masses $M>35 M_\odot$ are assumed to form…

Astrophysics · Physics 2007-05-23 K. A. Postnov , M. E. Prokhorov

The properties of black-hole and neutron-star binaries are extracted from gravitational-wave signals using Bayesian inference. This involves evaluating a multi-dimensional posterior probability function with stochastic sampling. The…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Virginia D'Emilio , Rhys Green , Vivien Raymond

We consider the inverse problem in pulsar timing array (PTA) analysis, investigating what astrophysical information about the underlying massive black hole binary (MBHB) population can be recovered from the detection of a stochastic…

High Energy Astrophysical Phenomena · Physics 2017-07-12 Siyuan Chen , Hannah Middleton , Alberto Sesana , Walter Del Pozzo , Alberto Vecchio

We consider the information that can be derived about massive black-hole binary populations and their formation history solely from current and possible future pulsar timing array (PTA) results. We use models of the stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-11 Hannah Middleton , Walter Del Pozzo , Will M. Farr , Alberto Sesana , Alberto Vecchio

Hierarchical analysis of the binary black hole (BBH) detections by the Advanced LIGO and Virgo detectors has offered an increasingly clear picture of their mass, spin, and redshift distributions. Fully understanding the formation and…

High Energy Astrophysical Phenomena · Physics 2021-11-24 Thomas A. Callister , Carl-Johan Haster , Ken K. Y. Ng , Salvatore Vitale , Will M. Farr

The improvements in the sensitivity of the gravitational wave (GW) network enable the detection of several large redshift GW sources by third-generation GW detectors. These advancements provide an independent method to probe the large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-02 Xiaoyun Shao , Zhoujian Cao , Xilong Fan , Shichao Wu

Gravitational waves (GWs) have provided a new lens through which to view the universe beyond traditional electromagnetic methods. The upcoming space-based gravitational wave mission, Laser Interferometer Space Antenna (LISA), will give us…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-17 Shaniya Jarrett , Kelly Holley-Bockelmann , Robert J. Scherrer