Precise LIGO lensing rate predictions for binary black holes

We show how LIGO is expected to detect coalescing binary black holes at z>1 that are lensed by the intervening galaxy population. Gravitational magnification, μ, strengthens gravitational-wave signals by √μ without altering their frequencies, which if unrecognized leads to an underestimate of the...

Full description

Bibliographic Details
Main Authors: Ng, Ken K. Y., Wong, Kaze W. K., Broadhurst, Tom, Li, Tjonnie G. F.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:http://hdl.handle.net/1721.1/114520
_version_ 1826190029874003968
author Ng, Ken K. Y.
Wong, Kaze W. K.
Broadhurst, Tom
Li, Tjonnie G. F.
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Ng, Ken K. Y.
Wong, Kaze W. K.
Broadhurst, Tom
Li, Tjonnie G. F.
author_sort Ng, Ken K. Y.
collection MIT
description We show how LIGO is expected to detect coalescing binary black holes at z>1 that are lensed by the intervening galaxy population. Gravitational magnification, μ, strengthens gravitational-wave signals by √μ without altering their frequencies, which if unrecognized leads to an underestimate of the event redshift and hence an overestimate of the binary mass. High magnifications can be reached for coalescing binaries, because the region of intense gravitational-wave emission during coalescence is so small (∼100  km), permitting very close projections between lensing caustics and gravitational-wave events. Our simulations use the current LIGO event-based mass function and incorporate accurate waveforms convolved with the LIGO power spectral density. Importantly, we include the detection dependence on sky position and orbital orientation, which for the LIGO configuration translates into a wide spread in observed redshifts and chirp masses. Currently, we estimate a detectable rate of lensed events 0.06[superscript +0.02][subscript -0.02] yr[superscript -1] that rises to 5[superscript +5][subscript -3]  yr[superscript -1] at LIGO design sensitivity limit, depending on the high redshift rate of black hole coalescence.
first_indexed 2024-09-23T08:33:56Z
format Article
id mit-1721.1/114520
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T08:33:56Z
publishDate 2018
publisher American Physical Society
record_format dspace
spelling mit-1721.1/1145202022-09-23T12:57:22Z Precise LIGO lensing rate predictions for binary black holes Ng, Ken K. Y. Wong, Kaze W. K. Broadhurst, Tom Li, Tjonnie G. F. Massachusetts Institute of Technology. Department of Physics LIGO (Observatory : Massachusetts Institute of Technology) MIT Kavli Institute for Astrophysics and Space Research Ng, Ken K. Y. We show how LIGO is expected to detect coalescing binary black holes at z>1 that are lensed by the intervening galaxy population. Gravitational magnification, μ, strengthens gravitational-wave signals by √μ without altering their frequencies, which if unrecognized leads to an underestimate of the event redshift and hence an overestimate of the binary mass. High magnifications can be reached for coalescing binaries, because the region of intense gravitational-wave emission during coalescence is so small (∼100  km), permitting very close projections between lensing caustics and gravitational-wave events. Our simulations use the current LIGO event-based mass function and incorporate accurate waveforms convolved with the LIGO power spectral density. Importantly, we include the detection dependence on sky position and orbital orientation, which for the LIGO configuration translates into a wide spread in observed redshifts and chirp masses. Currently, we estimate a detectable rate of lensed events 0.06[superscript +0.02][subscript -0.02] yr[superscript -1] that rises to 5[superscript +5][subscript -3]  yr[superscript -1] at LIGO design sensitivity limit, depending on the high redshift rate of black hole coalescence. National Science Foundation (U.S.) Laser Interferometer Gravitational Wave Observatory 2018-04-03T18:12:40Z 2018-04-03T18:12:40Z 2018-01 2017-03 2018-02-07T20:55:17Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/114520 Ng, Ken K. Y., et al. “Precise LIGO Lensing Rate Predictions for Binary Black Holes.” Physical Review D, vol. 97, no. 2, Jan. 2018. © 2018 American Physical Society en http://dx.doi.org/10.1103/PhysRevD.97.023012 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Ng, Ken K. Y.
Wong, Kaze W. K.
Broadhurst, Tom
Li, Tjonnie G. F.
Precise LIGO lensing rate predictions for binary black holes
title Precise LIGO lensing rate predictions for binary black holes
title_full Precise LIGO lensing rate predictions for binary black holes
title_fullStr Precise LIGO lensing rate predictions for binary black holes
title_full_unstemmed Precise LIGO lensing rate predictions for binary black holes
title_short Precise LIGO lensing rate predictions for binary black holes
title_sort precise ligo lensing rate predictions for binary black holes
url http://hdl.handle.net/1721.1/114520
work_keys_str_mv AT ngkenky preciseligolensingratepredictionsforbinaryblackholes
AT wongkazewk preciseligolensingratepredictionsforbinaryblackholes
AT broadhursttom preciseligolensingratepredictionsforbinaryblackholes
AT litjonniegf preciseligolensingratepredictionsforbinaryblackholes