Impact of gravitational lensing on black hole mass function inference with third-generation gravitational wave detectors

Abstract

The recent rapid growth of the black hole (BH) catalog from gravitational waves (GWs), has allowed us to study the substructure of black hole mass function (BHMF) beyond the simplest Power-Law distribution. However, the BH masses inferred from binary BH merger events, may be systematically 'brightened' or 'dimmed' by the gravitational lensing effect. In this work, we investigate the impact of gravitational lensing on the BHMF inference considering the detection of the third-generation GW detector -- the Einstein Telescope (ET). We focus on high redshift, $z=10$, in order to obtain the upper limits of this effect. We use Monte Carlo (MC) method to simulate the data adopting 3 original BHMFs under Un-Lensed and Lensed scenarios, then recover the parameters of BHMFs from the mock data, and compare the difference of results, respectively. We found that all the parameters are well recovered within one standard deviation(std., 1$\sigma$), and all 3 BHMF models are reconstructed within 68\% credible interval, suggesting that lensing would not change the main structure drastically, even at very high redshifts and with high precision of ET. And the modest influence beyond $50M_{\odot }$, depends on the modeling of the high mass tail or substructure of BHMF. We conclude that the impact of lensing on BHMF inference with ET can be safely ignored in the foreseeable future. Careful handling of lensing effects is required only when focusing on an accurate estimation of the high mass end of BHMF at high redshifts.

arXiv comment13 pages, 11 figures, accepted by MNRAS

References in corpus (42)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Nucleosynthetic Signature of Population III
• Science Case for the Einstein Telescope
• Properties of the Binary Black Hole Merger GW150914
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• Observing binary inspiral in gravitational radiation: One interferometer
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Scientific Objectives of Einstein Telescope
• Strong Lensing by Galaxies
• Rapid Bayesian position reconstruction for gravitational-wave transients
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• Cosmology with the lights off: Standard sirens in the Einstein Telescope era
• Search for gravitational lensing signatures in LIGO-Virgo binary black hole events
• Gravitational lensing of gravitational waves: A statistical perspective
• Effect of gravitational lensing on the distribution of gravitational waves from distant binary black hole mergers
• Strong gravitational lensing of explosive transients
• Precision cosmology from future lensed gravitational wave and electromagnetic signals
• Precise LIGO Lensing Rate Predictions for Binary Black Holes
• Binary inspiral, gravitational radiation, and cosmology
• Gravitational Lensing of Gravitational Waves from Merging Neutron Star Binaries
• Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals
• The Black Hole Mass Function from Gravitational Wave Measurements
• Testing the speed of gravitational waves over cosmological distances with strong gravitational lensing
• The basic physics of the binary black hole merger GW150914
• Effect of lensing magnification on the apparent distribution of black hole mergers
• Strong gravitational lensing of gravitational waves from double compact binaries - perspectives for the Einstein Telescope
• Parameter estimation for binary black holes with networks of third generation gravitational-wave detectors
• Correcting the z~8 Galaxy Luminosity Function for Gravitational Lensing Magnification Bias
• The Most Massive Binary Black Hole Detections and the Identification of Population Outliers
• Beyond the detector horizon: Forecasting gravitational-wave strong lensing
• Testing the nature of gravitational-wave polarizations using strongly lensed signals
• Mass-redshift Degeneracy for Gravitational-wave Sources in the Vicinity of a Supermassive Black Hole
• Strongly lensed gravitational waves from intrinsically faint double compact binaries - prediction for the Einstein Telescope
• Strong gravitational lensing of gravitational waves in Einstein Telescope
• The Deaths of Very Massive Stars
• Maximum redshift of gravitational wave merger events
• Event rate predictions of strongly lensed gravitational waves with detector networks and more realistic templates
• Estimating parameters of binary black holes from gravitational-wave observations of their inspiral, merger and ringdown
• Gravitational lensing effects on the gamma-ray burst Hubble diagram
• Direct measurement of the distribution of dark matter with strongly lensed gravitational waves
• Lensing magnification: gravitational waves from coalescing stellar-mass binary black holes
• Black hole mass function and its evolution -- the first prediction for the Einstein Telescope

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• The Science of the Einstein Telescope
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