Supermassive Black Hole Mass Measurements

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Compact Objects".

Deadline for manuscript submissions: 20 March 2026 | Viewed by 1735

Special Issue Editor


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Guest Editor
Department of Physics and Astronomy, Texas A&M University, College Station, TX, USA
Interests: supermassive black holes; mm/sub-mm astronomy; gas-dynamical modeling; active galactic nuclei; IR spectroscopy

Special Issue Information

Dear Colleagues,

Over the past 30 years, the masses of supermassive black holes (SMBHs) have been shown to correlate with certain properties of their host galaxies, indicating that they are crucial components in regulating galaxy growth across cosmic time. However, the current samples are insufficient for a detailed analysis of their co-evolution by galaxy type, environment, or as a function of redshift. The ever-increasing amount of samples of SMBH masses have been measured using a variety of techniques, including resolved stellar and gaseous kinematic tracers, the reverberation mapping (RM) of the accretion disk and broad-line region clouds in active galaxies, and the hydrostatic equilibrium modeling of hot halos. Now, higher-precision SMBH masses are enabled through advances in imaging technology, the identification of additional kinematics tracers, high-cadence monitoring and broad spectral coverage, and improvements in modeling, computational, and statistical approaches.

The present Special Issue aims to host several contributions dealing with SMBH mass measurements from the local universe to high redshifts. Potential topics include, but are not limited to, the following:

  • SMBH mass measurements using new or established techniques;
  • High-redshift studies of galaxy and SMBH growth using kinematics or line excitation;
  • SMBH growth over cosmic time, either through observations, R-L relationships, or simulations;
  • Cross-checks between different mass measurement techniques;
  • Kinematic studies that probe the SMBH sphere of influence;
  • RM or accretion disk studies that can provide information about SMBH masses;
  • The connection between an SMBH mass and the circumnuclear environment;
  • An analysis of the current samples to probe SMBH mass–host galaxy scaling relationships;
  • A review of the current state of SMBH mass measurements or the growth of SMBH masses during mergers.

Dr. Benjamin Boizelle
Guest Editor

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Keywords

  • supermassive black holes
  • active galactic nuclei
  • stellar or gaseous kinematics
  • dynamical modeling

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Published Papers (3 papers)

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Research

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29 pages, 16778 KB  
Article
Detecting Intermediate-Mass Black Holes out to 20 Mpc with ELT/HARMONI: The Case of FCC 119
by Hai N. Ngo, Dieu D. Nguyen, Tinh T. Q. Le, Tien H. T. Ho, Truong N. Nguyen and Trung H. Dang
Universe 2025, 11(11), 360; https://doi.org/10.3390/universe11110360 - 31 Oct 2025
Viewed by 518
Abstract
Intermediate-mass black holes (IMBHs; MBH1035 M) play a critical role in understanding the formation of supermassive black holes in the early universe. In this study, we expand on Nguyen et al.’s simulated measurements of [...] Read more.
Intermediate-mass black holes (IMBHs; MBH1035 M) play a critical role in understanding the formation of supermassive black holes in the early universe. In this study, we expand on Nguyen et al.’s simulated measurements of IMBH masses using stellar kinematics, which will be observed with the High Angular Resolution Monolithic Optical and Near-infrared Integral (HARMONI) field spectrograph on the Extremely Large Telescope (ELT) up to a distance of 20 Mpc. Our sample focuses on both the Virgo Cluster in the northern sky and the Fornax Cluster in the southern sky. We begin by identifying dwarf galaxies hosting nuclear star clusters, which are thought to be nurseries for IMBHs in the local universe. As a case study, we conduct simulations for FCC 119, the second faintest dwarf galaxy in the Fornax Cluster at 20 Mpc, which is also fainter than most of the Virgo Cluster members. We use the galaxy’s surface brightness profile from Hubble Space Telescope (HST) imaging, combined with an assumed synthetic spectrum, to create mock observations with the HSIM simulator and Jeans Anisotropic Models (JAMs). These mock HARMONI data cubes are analyzed as if they were real observations, employing JAMs within a Bayesian framework to infer IMBH masses and their associated uncertainties. We find that ELT/HARMONI can detect the stellar kinematic signature of an IMBH and accurately measure its mass for MBH105M out to distances of ∼20 Mpc. Full article
(This article belongs to the Special Issue Supermassive Black Hole Mass Measurements)
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13 pages, 793 KB  
Article
Red Noise Suppression in Pulsar Timing Array Data Using Adaptive Splines
by Yi-Qian Qian, Yan Wang and Soumya D. Mohanty
Universe 2025, 11(8), 268; https://doi.org/10.3390/universe11080268 - 15 Aug 2025
Viewed by 653
Abstract
Noise in Pulsar Timing Array (PTA) data is commonly modeled as a mixture of white and red noise components. While the former is related to the receivers, and easily characterized by three parameters (EFAC, EQUAD and ECORR), the latter arises from a mix [...] Read more.
Noise in Pulsar Timing Array (PTA) data is commonly modeled as a mixture of white and red noise components. While the former is related to the receivers, and easily characterized by three parameters (EFAC, EQUAD and ECORR), the latter arises from a mix of hard to model sources and, potentially, a stochastic gravitational wave background (GWB). Since their frequency ranges overlap, GWB search methods must model the non-GWB red noise component in PTA data explicitly, typically as a set of mutually independent Gaussian stationary processes having power-law power spectral densities. However, in searches for continuous wave (CW) signals from resolvable sources, the red noise is simply a component that must be filtered out, either explicitly or implicitly (via the definition of the matched filtering inner product). Due to the technical difficulties associated with irregular sampling, CW searches have generally used implicit filtering with the same power law model as GWB searches. This creates the data analysis burden of fitting the power-law parameters, which increase in number with the size of the PTA and hamper the scaling up of CW searches to large PTAs. Here, we present an explicit filtering approach that overcomes the technical issues associated with irregular sampling. The method uses adaptive splines, where the spline knots are included in the fitted model. Besides illustrating its application on real data, the effectiveness of this approach is investigated on synthetic data that has the same red noise characteristics as the NANOGrav 15-year dataset and contains a single non-evolving CW signal. Full article
(This article belongs to the Special Issue Supermassive Black Hole Mass Measurements)
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Review

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25 pages, 723 KB  
Review
Measuring Supermassive Black Hole Masses with H2O Megamasers: Observations, Methods, and Implications for Black Hole Demographics
by Cheng-Yu Kuo
Universe 2025, 11(12), 415; https://doi.org/10.3390/universe11120415 - 12 Dec 2025
Abstract
Measuring supermassive black hole (SMBH) masses is fundamental to understanding active
galactic nuclei (AGN) and their coevolution with host galaxies. Among existing techniques,
H2O megamaser observations with Very Long Baseline Interferometry (VLBI) provide the
most direct and geometric determinations of SMBH masses by [...] Read more.
Measuring supermassive black hole (SMBH) masses is fundamental to understanding active
galactic nuclei (AGN) and their coevolution with host galaxies. Among existing techniques,
H2O megamaser observations with Very Long Baseline Interferometry (VLBI) provide the
most direct and geometric determinations of SMBH masses by tracing molecular gas in
sub-parsec Keplerian disks. Over the past two decades, the Megamaser Cosmology Project
(MCP) has surveyed thousands of nearby AGNs and obtained high-sensitivity VLBI maps
of dozens of maser disks that lead to accurate SMBH masses with uncertainties typically
below 10%. In this paper, we present a comprehensive review that summarizes the essential
elements required to obtain accurate black hole masses with the H2O megamaser technique—
including the physical conditions for maser excitation, observational requirements,
disk modeling, and sources of SMBH mass uncertainty—and we discuss the implications of
maser-based measurements for exploring SMBH demographics. In particular, we will show
that maser-derived black hole masses, largely free from the systematic biases of stellar or
gas-dynamical methods, provide critical anchors at the low-mass end of the SMBH population
(MBH ∼ 107M⊙), and reveal possible deviations from the canonical MBH–σ∗ relation.
With forthcoming spectroscopic surveys and advances in millimeter/submillimeter VLBI,
the maser technique promises to extend precise dynamical mass measurements to both
larger local samples and high-redshift galaxies. Full article
(This article belongs to the Special Issue Supermassive Black Hole Mass Measurements)
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