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

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arxiv 2102.10295 v2 pith:7NBEJS2K submitted 2021-02-20 astro-ph.CO gr-qc

Zucheng Gao , Xian Chen , Yi-Ming Hu , Jian-Dong Zhang , Shunjia Huang This is my paper · ORCID
classification astro-ph.COgr-qc
keywords halosrangeeffectslisaodotbinariesblackcold
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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 $\rm 10^5-10^8\, M_\odot$ 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 $y\simeq50$. Consequently, we estimate that over $(0.1-1.6)\%$ of the MBHBs in the mass range of $\rm 10^{5.0}-10^{6.5}\, M_\odot$ 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 $\rm 10^5-10^8\, M_\odot$ are less numerous than what the cold DM model predicts.

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Cited by 3 Pith papers

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  1. Gravitational lensing of gravitational waves: universal characteristics of strongly lensed memory waveforms

    gr-qc 2025-10 conditional novelty 7.0 of 10

    Strongly lensed gravitational-wave memory waveforms acquire universal parity signatures—odd for type I/III images, even for type II—that can identify image type via a simple step-function approximation.

  2. Parameter estimation of microlensed gravitational waves with Conditional Variational Autoencoders

    gr-qc 2024-11 conditional novelty 5.0 of 10

    A conditional variational autoencoder trained on simulated microlensed binary black hole signals estimates lens mass and source offset with well-calibrated posteriors, runs about 10,000 times faster than Bilby, and cu...

  3. The Born approximation in wave optics gravitational lensing revisited

    astro-ph.CO 2024-12 conditional novelty 4.0 of 10

    For a point-mass lens, the n-th Born term scales as y^{-2} w^{n-1}, so the Born approximation is accurate at low normalized frequency w and large impact parameter.

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