A Higher Probability of Detecting Lensed Supermassive Black Hole Binaries by LISA

Abstract

Gravitational lensing of gravitational waves (GWs) is a powerful probe of the matter distribution in the universe. Here we revisit the wave-optics effects induced by dark matter (DM) halos on the GW signals of merging massive black hole binaries (MBHBs), and we study the possibility of discerning these effects using the Laser Interferometer Space Antenna (LISA). In particular, we include the halos in the low-mass range of $10^5-10^8{\mathrm{M}}_{\odot }$ since they are the most numerous according to the cold DM model. We simulate the lensed signals corresponding to a wide range of impact parameters, and we find distinguishable deviation from the standard best-fit GW templates even when the impact parameter is as large $y\simeq 50$. Consequently, we estimate that over $(0.1-1.6)\%$ of the MBHBs in the mass range of $10^{5.0}-10^{6.5}{\mathrm{M}}_{\odot }$ and the redshift range of $4-10$ should show detectable wave-optics effects. This probability is one order of magnitude higher than that derived in previous works. The uncertainty comes mainly from the mass function of the DM halos. Not detecting any signal during the LISA mission would imply that DM halos with $10^5-10^8{\mathrm{M}}_{\odot }$ are less numerous than what the cold DM model predicts.

10 pages, 14 figures, accepted for publication in MNRAS

References in corpus (10)

• Laser Interferometer Space Antenna
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• The TianQin project: current progress on science and technology
• Search for gravitational lensing signatures in LIGO-Virgo binary black hole events
• The Population of Dark Matter Subhaloes: Mass Functions and Average Mass Loss Rates
• Observational signatures of microlensing in gravitational waves at LIGO/Virgo frequencies
• Probing Dark Low-mass Halos and Primordial Black Holes with Frequency-dependent Gravitational Lensing Dispersions of Gravitational Waves
• The wave nature of continuous gravitational waves from microlensing
• Gravitational wave propagation beyond geometric optics
• Lensing Effects on Gravitational Waves in a Clumpy Universe -Effects of Inhomogeneity on the Distance-Redshift Relation-

Cited by in corpus (21)

• Cosmology with the Laser Interferometer Space Antenna
• Gravitational wave lensing as a probe of halo properties and dark matter
• Observability of lensing of gravitational waves from massive black hole binaries with LISA
• Probing the nature of dark matter via gravitational waves lensed by small dark matter halos
• Weakly Lensed Gravitational Waves: Probing Cosmic Structures with Wave-Optics Features
• Microlensing of gravitational waves by dark matter structures
• Probing wave-optics effects and low-mass dark matter halos with lensing of gravitational waves from massive black holes
• Lensing of gravitational waves: universal signatures in the beating pattern
• GLoW: novel methods for wave-optics phenomena in gravitational lensing
• Wave effect of gravitational waves intersected with a microlens field: a new algorithm and supplementary study
• Detecting Strong Gravitational Lensing of Gravitational Waves with TianQin
• Measuring the Hubble Constant Using Strongly Lensed Gravitational Wave Signals
• Signatures of dark and baryonic structures on weakly lensed gravitational waves
• Compact Binaries through a Lens: Silent vs. Detectable Microlensing for the LIGO-Virgo-KAGRA Gravitational Wave Observatories
• Parameter estimation of microlensed gravitational waves with Conditional Variational Autoencoders
• Fundamental Physics and Cosmology with TianQin
• The Born approximation in wave optics gravitational lensing revisited
• Gravitational wave lensing: probing Fuzzy Dark Matter with LISA
• Constraining the environment of compact binary mergers with self-lensing signatures
• Bayesian Analysis of Wave-Optics Gravitationally Lensed Massive Black Hole Binaries with Space-Based Gravitational Wave Detector
• Gravitational lensing of gravitational waves: universal characteristics of strongly lensed memory waveforms