Black hole merger rates for LISA and LGWA from semi-analytical modelling of light seeds
Journal article, 2026

Context. With the upcoming space- and Moon-based gravitational-wave detectors, LISA and LGWA, a new era of gravitational-wave (GW) astronomy begins, with the possibility of detecting mergers of intermediate-mass black holes (IMBHs) and supermassive black holes (SMBHs). Aims. We generated populations of synthetic black hole (BH) binaries with masses ranging from the intermediate (10(3) - 10(5) M-circle dot) to the supermassive regime (> 10(5) M-circle dot), formed through the dynamical processes of merging haloes and their host galaxies, assuming that each galaxy is initially seeded with a single black hole at its centre. We aimed to estimate the rate of these BH mergers that could be detected by LISA and LGWA. Methods. Using the PINOCCHIO cosmological simulation and a semi-analytical model based on the GAlaxy Evolution and Assembly (GAEA) framework, we constructed a population of merging BHs by implementing a 'light' seeding scheme and calculated the merging timescales using the Chandrasekhar prescription. We calculated upper and lower limits of the dynamical friction timescale by varying the mass of the infalling object to create 'pessimistic' and 'optimistic' merger rates. Results. For our synthetic population of BHs, both LGWA and LISA detect more than 15 binary IMBH mergers per year in the optimistic case, while in the pessimistic case fewer than approximately five detections would be expected over the entire lifetime of the detectors. For SMBHs, the rates are slightly lower in both cases. Most mergers below z approximate to 4 are detected in the optimistic case, although mergers beyond z = 8 are also detectable at a lower rate. Conclusions. We find that LGWA is better suited for detections of IMBH with a high signal-to-noise ratio at higher redshift, while LISA is more sensitive to massive SMBHs. Joint observations will probe the full BH mass spectrum and constrain BH formation and seeding models.

galaxies: interactions

quasars: supermassive black holes

gravitational waves

stars: Population III

galaxies: halos

galaxies: kinematics and dynamics

Author

Jasbir Singh

Istituto nazionale di astrofisica (INAF)

Paola Severgnini

Istituto nazionale di astrofisica (INAF)

Vieri Cammelli

University of Modena and Reggio Emilia

Alessandra De Rosa

INAF Ist Astrofis & Planetol Spaziali IAPS

Cristian Vignali

University of Bologna

Istituto nazionale di astrofisica (INAF)

Fabio Rigamonti

National Institute for Nuclear Physics

Istituto nazionale di astrofisica (INAF)

University of Insubria

Rosa Valiante

Ist Nazl Astrofis

Pierluigi Monaco

University of Trieste

National Institute for Nuclear Physics

IFPU—Institute for Fundamental Physics of the Universe

Istituto nazionale di astrofisica (INAF)

Jonathan Tan

Chalmers, Space, Earth and Environment

Lorenzo Battistini

Universita degli studi - Roma Tre

INAF Ist Astrofis & Planetol Spaziali IAPS

Roberto Della Ceca

Istituto nazionale di astrofisica (INAF)

Jan Harms

National Institute for Nuclear Physics

GSSI

Manali Parvatikar

University of Rome Tor Vergata

INAF Ist Astrofis & Planetol Spaziali IAPS

Astronomy and Astrophysics

0004-6361 (ISSN) 1432-0746 (eISSN)

Vol. 706 A196

Massive Star Formation through the Universe (MSTAR)

European Commission (EC) (EC/H2020/788829), 2018-09-01 -- 2023-08-31.

Subject Categories (SSIF 2025)

Astronomy, Astrophysics, and Cosmology

DOI

10.1051/0004-6361/202556833

More information

Latest update

2/23/2026