Lensing by primordial black holes: constraints from gravitational wave observations

Abstract

Primordial black holes (PBHs) have been proposed to explain at least a portion of dark matter. Observations have put strong constraints on PBHs in terms of the fraction of dark matter which they can represent, $f_{\mathrm{PBH}}$, across a wide mass range -- apart from the stellar-mass range of $20M_{\odot }\lesssim M_{\mathrm{PBH}}\lesssim 100M_{\odot }$. In this paper, we explore the possibility that such PBHs could serve as point-mass lenses capable of altering the gravitational-wave (GW) signals observed from binary black hole (BBH) mergers along their line-of-sight. We find that careful GW data analysis could verify the existence of such PBHs based on the $fittingfactor$ and odds ratio analyses. When such a lensed GW signal is detected, we expect to be able to measure the redshifted mass of the lens with a relative error $\Delta M_{\mathrm{PBH}}/M_{\mathrm{PBH}}\lesssim 0.3$. If no such lensed GW events were detected despite the operation of sensitive GW detectors accumulating large numbers of BBH mergers, it would translate into a stringent constraint of $f_{\mathrm{PBH}}\lesssim 10^{-2}-10^{-5}$ for PBHs with a mass larger than $\sim 10M_{\odot }$ by the Einstein Telescope after one year of running, and $f_{\mathrm{PBH}}\lesssim 0.2$ for PBHs with mass greater than $\sim 50M_{\odot }$ for advanced LIGO after ten years of running.

arXiv comment10 pages, 4 figures, accepted by Phys. Rev. D

References in corpus (75)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Planck 2015 results. XIII. Cosmological parameters
• On the variation of the Initial Mass Function
• Cosmic Star Formation History
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• The Nucleosynthetic Signature of Population III
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Did LIGO detect dark matter?
• Primordial Black Holes as Dark Matter
• Properties of the Binary Black Hole Merger GW150914
• Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• The Black Hole Mass Distribution in the Galaxy
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Detection, Measurement and Gravitational Radiation
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Primordial Black Holes
• Search templates for gravitational waves from inspiraling binaries: Choice of template spacing
• The Mass Distribution of Stellar-Mass Black Holes
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Cosmic microwave background limits on accreting primordial black holes
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• Wave Effects in Gravitational Lensing of Gravitational Waves from Chirping Binaries
• MACHO Project Limits on Black Hole Dark Matter in the 1-30 Solar Mass Range
• Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies
• Improved filters for gravitational waves from inspiralling compact binaries
• The Mass Distribution of Stellar Black Holes
• Missing Black Holes Unveil The Supernova Explosion Mechanism
• Lensing of Fast Radio Bursts as a Probe of Compact Dark Matter
• Limits on stellar-mass compact objects as dark matter from gravitational lensing of type Ia supernovae
• Implementing a search for aligned-spin neutron star -- black hole systems with advanced ground based gravitational wave detectors
• A Gravitational Wave Detector with Cosmological Reach
• Search for gravitational lensing signatures in LIGO-Virgo binary black hole events
• Black hole mergers from an evolving population of globular clusters
• Primordial Black Holes from Sound Speed Resonance during Inflation
• Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers
• Farthest Neighbor: The Distant Milky Way Satellite Eridanus II
• Precision cosmology from future lensed gravitational wave and electromagnetic signals
• Gravitational-Wave Fringes at LIGO: Detecting Compact Dark Matter by Gravitational Lensing
• On the Reported Death of the MACHO Era
• Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals
• Phase effects from strong gravitational lensing of gravitational waves
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• Primordial Black Holes for the LIGO Events in the Axion-like Curvaton Model
• Failed Supernovae Explain the Compact Remnant Mass Function
• Detecting Lensing-Induced Diffraction in Astrophysical Gravitational Waves
• Discovering intermediate-mass black hole lenses through gravitational wave lensing
• What if LIGO's gravitational wave detections are strongly lensed by massive galaxy clusters?
• Observational signatures of microlensing in gravitational waves at LIGO/Virgo frequencies
• Constraining the abundance of primordial black holes with gravitational lensing of gravitational waves at LIGO frequencies
• Effect of lensing magnification on the apparent distribution of black hole mergers
• Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case
• Detecting Stellar Lensing of Gravitational Waves with Ground-Based Observatories
• Please repeat: Strong lensing of gravitational waves as a probe of compact binary and galaxy populations
• A Parameter Estimation Method that Directly Compares Gravitational Wave Observations to Numerical Relativity
• Investigating the effect of precession on searches for neutron-star-black-hole binaries with Advanced LIGO
• Probing Primordial-Black-Hole Dark Matter with Gravitational Waves
• Stellar-mass microlensing of gravitational waves
• Impact of astrophysical binary coalescence timescales on the rate of lensed gravitational wave events
• Gravitational Wave Interference via Gravitational Lensing: Measurements of Luminosity Distance, Lens Mass, and Cosmological Parameters
• Strong Lensing of Gamma Ray Bursts as a Probe of Compact Dark Matter
• Cosmological implications of Primordial Black Holes
• Constraining the lensing of binary black holes from their stochastic background
• Probing compact dark matter with gravitational wave fringes detected by the Einstein Telescope

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