Probing wave-optics effects and low-mass dark matter halos with lensing of gravitational waves from massive black holes

Abstract

The Laser Interferometer Space Antenna (LISA) will detect gravitational waves (GWs) emitted by massive black hole binaries (MBHBs) in the low-frequency ($\sim$mHz) band. Low-mass lenses, such as low-mass dark matter halos or subhalos, have sizes comparable to the wavelength of these GWs. Encounters with these lenses produce wave-optics (WO) effects that alter waveform phase and amplitude. Thus, a single event with observable WO effects can be used to probe the lens properties. In this paper, we first compute the probability of observing WO effects in a model-agnostic way. We perform information-matrix analyses over approximately 1000 MBHBs with total mass, mass ratio, and redshift spanning the ranges relevant to LISA. We then calculate lensing rates using three semi-analytical models of MBHB populations. In both cases, we use a waveform model that includes merger, ringdown, and higher-order modes. We use two lens population models: the theory-based Press-Schechter halo mass function and an observation-based model derived from Sloan Digital Sky Survey. We find that the probability of detecting WO effects can be as large as $\sim 3\%$, $\sim 1.5\%$, and $\sim 1\%$ at $1\sigma$, $3\sigma$, and $5\sigma$ confidence levels, respectively. The most optimistic MBHB population model yields $\sim 8$, $\sim 4$, and $\sim 3$ events with detectable WO effects at the same confidence levels, while the rates drop to $\sim 0.01$ in the more pessimistic scenarios. The most likely lens masses probed by LISA are in the range $(10^3,10^8)M_{\odot }$, and the most probable redshifts are in the range $(0.3,1.7)$. Therefore, LISA observations of WO effects can probe low-mass DM halos, complementing strong lensing and other observations.

25 pages, 15 figures; matches the version published in Phys. Rev. D 108, 123543 (2023)

References in corpus (73)

• Astropy: A Community Python Package for Astronomy
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• Simulating the joint evolution of quasars, galaxies and their large-scale distribution
• The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
• Dark Matter Substructure in Galactic Halos
• Weak Gravitational Lensing
• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• The Second Data Release of the Sloan Digital Sky Survey
• Halo Formation in Warm Dark Matter Models
• Reionization and the abundance of galactic satellites
• Warm Dark Matter as a solution to the small scale crisis: new constraints from high redshift Lyman-alpha forest data
• The Third Data Release of the Sloan Digital Sky Survey
• The Fifth Data Release of the Sloan Digital Sky Survey
• Black holes, gravitational waves and fundamental physics: a roadmap
• Merger rates in hierarchical models of galaxy formation. II: Comparison with N-body simulations
• Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
• Weak Gravitational Lensing by Large-Scale Structure
• Gravitational Lensing
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• The NANOGrav 15-year Data Set: Constraints on Supermassive Black Hole Binaries from the Gravitational Wave Background
• Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries
• Cosmology with the Laser Interferometer Space Antenna
• Cosmological black hole spin evolution by mergers and accretion
• Detailed Mass Map of CL0024+1654 from Strong Lensing
• Multiple Images of a Highly Magnified Supernova Formed by an Early-Type Cluster Galaxy Lens
• Massive Black Hole Binary Evolution
• The origins of massive black holes
• Spectroscopy of Kerr black holes with Earth- and space-based interferometers
• The evolution of massive black holes and their spins in their galactic hosts
• The Sloan-Lens ACS Survey II: stellar populations and internal structure of early-type lens galaxies
• First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries
• iPTF16geu: A multiply imaged, gravitationally lensed type Ia supernova
• SkyMapper Southern Survey: Second Data Release (DR2)
• Internal and Collective Properties of Galaxies in the Sloan Digital Sky Survey
• Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens
• Testing modified gravity at cosmological distances with LISA standard sirens
• Linking the spin evolution of massive black holes to galaxy kinematics
• Co-evolution of nuclear star clusters, massive black holes and their host galaxies
• Probing the theory of gravity with gravitational lensing of gravitational waves and galaxy surveys
• The DEEP Groth Strip Survey X: Number Density and Luminosity Function of Field E/S0 Galaxies at z < 1
• The Sloan Digital Sky Survey Quasar Lens Search. V. Final Catalog from the Seventh Data Release
• Improved Cosmological Constraints from Gravitational Lens Statistics
• Gravitational Lensing of Gravitational Waves from Merging Neutron Star Binaries
• Hierarchical Formation of Dark Matter Halos and the Free Streaming Scale
• Cosmography with strong lensing of LISA gravitational wave sources
• The redshift distribution of gravitational lenses revisited: Constraints on galaxy mass evolution
• Probing Fundamental Physics with Gravitational Waves: The Next Generation
• The Final Parsec Problem
• Localizing merging black holes with sub-arcsecond precision using gravitational-wave lensing
• Please repeat: Strong lensing of gravitational waves as a probe of compact binary and galaxy populations
• Strong lensing of gravitational waves as seen by LISA
• What does strong gravitational lensing? The mass and redshift distribution of high-magnification lenses
• Observability of lensing of gravitational waves from massive black hole binaries with LISA
• Lensing of gravitational waves: efficient wave-optics methods and validation with symmetric lenses
• The imprint of massive black-hole mergers on the correlation between nuclear clusters and their host galaxies
• Probing the nature of dark matter via gravitational waves lensed by small dark matter halos
• Substructure Detection Reanalyzed: Dark Perturber shown to be a Line-of-Sight Halo
• Lensing or luck? False alarm probabilities for gravitational lensing of gravitational waves
• LISA observations of massive black hole mergers: event rates and issues in waveform modelling
• Scattering of Gravitational Waves by the Weak Gravitational Fields of Lens Objects
• A Higher Probability of Detecting Lensed Supermassive Black Hole Binaries by LISA
• Apparent Superluminality of Lensed Gravitational Waves
• Convergence and Efficiency of Different Methods to Compute the Diffraction Integral for Gravitational Lensing of Gravitational Waves
• Microlensing of gravitational waves by dark matter structures
• COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses IV. Models of prospective time-delay lenses
• Exploratory Chandra observation of the ultraluminous quasar SDSS J010013.02+280225.8 at redshift 6.30
• How the super-Eddington regime affects black hole spin evolution in high-redshift galaxies
• Reducing the Impact of Weak-lensing Errors on Gravitational-wave Standard Sirens
• Weak lensing of gravitational waves in wave optics: Beyond the Born approximation
• Detecting Low-Mass Perturbers in Cluster Lenses using Curved Arc Bases
• Solar Diffraction of LIGO-Band Gravitational Waves

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• Effects of Galaxy Cluster Structure on Lensed Gravitational Waves
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• Diffraction around caustics in gravitational wave lensing
• TESLA-X: An effective method to search for sub-threshold lensed gravitational waves with a targeted population model
• Gravitational wave lensing: probing Fuzzy Dark Matter with LISA
• Stokes phenomena in lensing
• Lensing point-spread function of coherent astrophysical sources and non-trivial wave effects
• Strong-lensing rates of massive black hole binaries in LISA
• Parameter inference of millilensed gravitational waves using neural spline flows
• Identification of gravitational lenses obscured by foreground light in the KiDS dataset using U-Nets and ResNets