Built on

S. Fairhurst, R. Green, M. Hannam, and C. Hoy, When will we observe binary black holes precessing?, arXiv e-prints (2019a), 1908.00555
Original
1908
Earlier work this paper cites.
S. Fairhurst, R. Green, C. Hoy, M. Hannam, and A. Muir, The two-harmonic approximation for gravitational waveforms from precessing binaries, arXiv e-prints (2019b), 1908.05707
Original
1908
Earlier work this paper cites.
C. Kalaghatgi, M. Hannam, and V. Raymond, Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM, arXiv e-prints (2019), 1909.10010
Original
1909
Earlier work this paper cites.
N. E. M. Rifat, S. E. Field, G. Khanna, and V. Varma, A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries, arXiv e-prints (2019), 1910.10473
Original
1910
Earlier work this paper cites.
S. Roy, A. S. Sengupta, and K. Arun, Unveiling the spectrum of inspiralling binary black holes, (2019), arXiv:1910.04565 [gr-qc]
Original
1910
Earlier work this paper cites.
K. Thorne, Multipole Expansions of Gravitational Radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
E. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A A402
1985
Earlier work this paper cites.
A. Nagar, G. Riemenschneider, G. Pratten, P. Rettegno, and F. Messina, A multipolar effective one body waveform model for spin-aligned black hole binaries, arXiv e-prints (2020), 2001.09082
Original
2001
Earlier work this paper cites.
C. García-Quirós, M. Colleoni, S. Husa, H. Estellés, G. Pratten, A. Ramos-Buades, M. Mateu-Lucena, and R. Jaume, IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries, arXiv e-prints (2020), 2001.10914
Original
2001
Earlier work this paper cites.
R. Cotesta, S. Marsat, and M. Pürrer, Frequency domain reduced order model of aligned-spin effective-one-body waveforms with higher-order modes, (2020), 2003.12079
Original
2003
Earlier work this paper cites.
G. Pratten et al. , Let’s twist again: computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes, (2020), arXiv:2004.06503 [gr-qc]
Original
2004
Earlier work this paper cites.
R. Abbott et al. (LIGO Scientific, Virgo), GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses, (2020a), arXiv:2004.08342 [astro-ph.HE]
Original
2004
Earlier work this paper cites.
S. Klimenko, S. Mohanty, M. Rakhmanov, and G. Mitselmakher, Constraint likelihood analysis for a network of gravitational wave detectors, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Abbott et al. (LIGO Scientific, Virgo), GW190814: Gravitational Waves from the Coalescence of a 23 Solar Mass Black Hole with a 2.6 Solar Mass Compact Object, Astrophys. J. 896
Original
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and C. M. Will, On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA, Phys. Rev. D 73
2006
Earlier work this paper cites.

Similar

C. Van Den Broeck and A. S. Sengupta, Phenomenology of amplitude-corrected post-Newtonian gravitational waveforms for compact binary inspiral. I. Signal-to-noise ratios, Class. Quant. Grav. 24
2007
Cited alongside, same era.
L. E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77
Original
2008
Cited alongside, same era.
I. W. Harry and S. Fairhurst, A targeted coherent search for gravitational waves from compact binary coalescences, Phys. Rev. D 83
Original
2011
Cited alongside, same era.
B. F. Schutz, Networks of gravitational wave detectors and three figures of merit, Class. Quant. Grav. 28
Original
2011
Cited alongside, same era.

Then

L. London, S. Khan, E. Fauchon-Jones, C. García, M. Hannam, S. Husa, X. Jiménez-Forteza, C. Kalaghatgi, F. Ohme, and F. Pannarale, First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries, Phys. Rev. Lett. 120
2018
Later among the works it cites.
R. Cotesta, A. Buonanno, A. Bohé, A. Taracchini, I. Hinder, and S. Ossokine, Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics, Phys. Rev. D 98
2018
Later among the works it cites.
I. Harry, J. Calderón Bustillo, and A. Nitz, Searching for the full symphony of black hole binary mergers, Phys. Rev. D 97
2018
Later among the works it cites.
V. Tiwari, S. Fairhurst, and M. Hannam, Constraining black-hole spins with gravitational wave observations, Astrophys. J. 868
Original
2018
Later among the works it cites.

Beyond the bibliography

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Reading the bibliography…

2020

Measuring gravitational-wave higher-order modes

Mills, Cameron, Fairhurst, Stephen

Understand

We investigate the observability of higher harmonics in gravitational wave signals emitted during the coalescence of binary black holes.

We decompose each mode into an overall amplitude, dependent upon the masses and spins of the system, and an orientation-dependent term, dependent upon the inclination and polarization of the source.
Using this decomposition, we investigate the significance of higher modes over the parameter space and show that the $\ell = 3$, $m = 3$ mode is most significant across much of the sensitive band of ground-based interferometric detectors, with the $\ell = 4$, $m = 4$ having a significant contribution at high masses.
We introduce the higher mode signal-to-noise ratio (SNR), and show that a simple threshold on this SNR can be used as a criterion for observation of higher harmonics.

Built on

S. Fairhurst, R. Green, M. Hannam, and C. Hoy, When will we observe binary black holes precessing?, arXiv e-prints (2019a), 1908.00555
Original
1908
Earlier work this paper cites.
S. Fairhurst, R. Green, C. Hoy, M. Hannam, and A. Muir, The two-harmonic approximation for gravitational waveforms from precessing binaries, arXiv e-prints (2019b), 1908.05707
Original
1908
Earlier work this paper cites.
C. Kalaghatgi, M. Hannam, and V. Raymond, Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM, arXiv e-prints (2019), 1909.10010
Original
1909
Earlier work this paper cites.
N. E. M. Rifat, S. E. Field, G. Khanna, and V. Varma, A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries, arXiv e-prints (2019), 1910.10473
Original
1910
Earlier work this paper cites.
S. Roy, A. S. Sengupta, and K. Arun, Unveiling the spectrum of inspiralling binary black holes, (2019), arXiv:1910.04565 [gr-qc]
Original
1910
Earlier work this paper cites.
K. Thorne, Multipole Expansions of Gravitational Radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
E. Leaver, An Analytic representation for the quasi normal modes of Kerr black holes, Proc. Roy. Soc. Lond. A A402
1985
Earlier work this paper cites.
A. Nagar, G. Riemenschneider, G. Pratten, P. Rettegno, and F. Messina, A multipolar effective one body waveform model for spin-aligned black hole binaries, arXiv e-prints (2020), 2001.09082
Original
2001
Earlier work this paper cites.
C. García-Quirós, M. Colleoni, S. Husa, H. Estellés, G. Pratten, A. Ramos-Buades, M. Mateu-Lucena, and R. Jaume, IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries, arXiv e-prints (2020), 2001.10914
Original
2001
Earlier work this paper cites.
R. Cotesta, S. Marsat, and M. Pürrer, Frequency domain reduced order model of aligned-spin effective-one-body waveforms with higher-order modes, (2020), 2003.12079
Original
2003
Earlier work this paper cites.
G. Pratten et al. , Let’s twist again: computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes, (2020), arXiv:2004.06503 [gr-qc]
Original
2004
Earlier work this paper cites.
R. Abbott et al. (LIGO Scientific, Virgo), GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses, (2020a), arXiv:2004.08342 [astro-ph.HE]
Original
2004
Earlier work this paper cites.
S. Klimenko, S. Mohanty, M. Rakhmanov, and G. Mitselmakher, Constraint likelihood analysis for a network of gravitational wave detectors, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Abbott et al. (LIGO Scientific, Virgo), GW190814: Gravitational Waves from the Coalescence of a 23 Solar Mass Black Hole with a 2.6 Solar Mass Compact Object, Astrophys. J. 896
Original
2006
Earlier work this paper cites.
E. Berti, V. Cardoso, and C. M. Will, On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA, Phys. Rev. D 73
2006
Earlier work this paper cites.

Similar

C. Van Den Broeck and A. S. Sengupta, Phenomenology of amplitude-corrected post-Newtonian gravitational waveforms for compact binary inspiral. I. Signal-to-noise ratios, Class. Quant. Grav. 24
2007
Cited alongside, same era.
L. E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77
Original
2008
Cited alongside, same era.
I. W. Harry and S. Fairhurst, A targeted coherent search for gravitational waves from compact binary coalescences, Phys. Rev. D 83
Original
2011
Cited alongside, same era.
B. F. Schutz, Networks of gravitational wave detectors and three figures of merit, Class. Quant. Grav. 28
Original
2011
Cited alongside, same era.

Then

L. London, S. Khan, E. Fauchon-Jones, C. García, M. Hannam, S. Husa, X. Jiménez-Forteza, C. Kalaghatgi, F. Ohme, and F. Pannarale, First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries, Phys. Rev. Lett. 120
2018
Later among the works it cites.
R. Cotesta, A. Buonanno, A. Bohé, A. Taracchini, I. Hinder, and S. Ossokine, Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics, Phys. Rev. D 98
2018
Later among the works it cites.
I. Harry, J. Calderón Bustillo, and A. Nitz, Searching for the full symphony of black hole binary mergers, Phys. Rev. D 97
2018
Later among the works it cites.
V. Tiwari, S. Fairhurst, and M. Hannam, Constraining black-hole spins with gravitational wave observations, Astrophys. J. 868
Original
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

F. Ohme, A. B. Nielsen, D. Keppel, and A. Lundgren, Statistical and systematic errors for gravitational-wave inspiral signals: A principal component analysis, Phys. Rev. D 88

2013

Cited alongside, same era.

M. Hannam, D. A. Brown, S. Fairhurst, C. L. Fryer, and I. W. Harry, When can gravitational-wave observations distinguish between black holes and neutron stars?, Astrophys. J. 766

2013

Cited alongside, same era.

E. Baird, S. Fairhurst, M. Hannam, and P. Murphy, Degeneracy between mass and spin in black-hole-binary waveforms, Phys. Rev. D87

2013

Cited alongside, same era.

L. Blanchet, Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries, Living Review Relativity 17

Original

2014

Cited alongside, same era.

P. Madau and M. Dickinson, Cosmic Star-Formation History, Annu. Rev. Astron. Astrophys. 52

Original

2014

Cited alongside, same era.

J. Veitch et al. , Parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library, Phys. Rev. D 91

Original

2015

Cited alongside, same era.

C. K. Mishra, A. Kela, K. G. Arun, and G. Faye, Ready-to-use post-Newtonian gravitational waveforms for binary black holes with nonprecessing spins: An update, Phys. Rev. D 93

2016

Cited alongside, same era.

S. A. Usman, A. H. Nitz, I. W. Harry, C. M. Biwer, D. A. Brown, M. Cabero, C. D. Capano, T. Dal Canton, T. Dent, S. Fairhurst, et al. , The PyCBC search for gravitational waves from compact binary coalescence, Classical and Quantum Gravity 33

2016

Cited alongside, same era.

S. Marsat and J. G. Baker, Fourier-domain modulations and delays of gravitational-wave signals, (2018), arXiv:1806.10734 [gr-qc]

Original

2018