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  Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism

Pan, Y., Buonanno, A., Boyle, M., Buchman, L. T., Kidder, L. E., Pfeiffer, H. P., et al. (2011). Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism. Physical Review D, 84(12): 124052. doi:10.1103/PhysRevD.84.124052.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-F7BA-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-8051-2
Genre: Journal Article

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 Creators:
Pan, Yi, Author
Buonanno, A.1, 2, Author              
Boyle, Michael, Author
Buchman, Luisa T., Author
Kidder, Lawrence E., Author
Pfeiffer, Harald P., Author
Scheel, Mark A., Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              
2University of Maryland, ou_persistent22              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We calibrate an effective-one-body (EOB) model to numerical-relativity simulations of mass ratios 1, 2, 3, 4, and 6, by maximizing phase and amplitude agreement of the leading (2,2) mode and of the subleading modes (2,1), (3,3), (4,4) and (5,5). Aligning the calibrated EOB waveforms and the numerical waveforms at low frequency, the phase difference of the (2,2) mode between model and numerical simulation remains below 0.1 rad throughout the evolution for all mass ratios considered. The fractional amplitude difference at peak amplitude of the (2,2) mode is 2% and grows to 12% during the ringdown. Using the Advanced LIGO noise curve we study the effectualness and measurement accuracy of the EOB model, and stress the relevance of modeling the higher-order modes for parameter estimation. We find that the effectualness, measured by the mismatch, between the EOB and numerical-relativity polarizations which include only the (2,2) mode is smaller than 0.2% for binaries with total mass 20-200 Msun and mass ratios 1, 2, 3, 4, and 6. When numerical-relativity polarizations contain the strongest seven modes, and stellar-mass black holes with masses less than 50Msun are considered, the mismatch for mass ratio 6 (1) can be as high as 5% (0.2%) when only the EOB (2,2) mode is included, and an upper bound of the mismatch is 0.5% (0.07%) when all the four subleading EOB modes calibrated in this paper are taken into account. For binaries with intermediate-mass black holes with masses greater than 50Msun the mismatches are larger. We also determine for which signal-to-noise ratios the EOB model developed here can be used to measure binary parameters with systematic biases smaller than statistical errors due to detector noise.

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 Dates: 2011-06-062012-03-092011
 Publication Status: Published in print
 Pages: 26 pages, 25 figures, published Phys. Rev. D version
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1106.1021
DOI: 10.1103/PhysRevD.84.124052
URI: http://arxiv.org/abs/1106.1021
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 84 (12) Sequence Number: 124052 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258