MacDonald, Ilana and Nissanke, Samaya and Pfeiffer, Harald P. (2011) Suitability of post-Newtonian/numerical-relativity hybrid waveforms for gravitational wave detectors. Classical and Quantum Gravity, 28 (13). Art. No. 134002. ISSN 0264-9381 http://resolver.caltech.edu/CaltechAUTHORS:20110705-113932521
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This paper presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole binaries, these detectors require accurate waveform models which can be constructed by fusing an analytical post-Newtonian inspiral waveform with a numerical relativity merger-ringdown waveform. We perform a comprehensive analysis of errors that enter such 'hybrid waveforms'. We find that the post-Newtonian waveform must be aligned with the numerical relativity waveform to exquisite accuracy, about 1/100 of a gravitational wave cycle. Phase errors in the inspiral phase of the numerical relativity simulation must be controlled to ≲ 0.1 rad. (These numbers apply to moderately optimistic estimates about the number of GW sources; exceptionally strong signals require even smaller errors.) The dominant source of error arises from the inaccuracy of the investigated post-Newtonian Taylor approximants. Using our error criterion, even at 3.5th post-Newtonian order, hybridization has to be performed significantly before the start of the longest currently available numerical waveforms which cover 30 gravitational wave cycles. The current investigation is limited to the equal-mass, zero-spin case and does not take into account calibration errors of the gravitational wave detectors.
|Additional Information:||© 2011 IOP Publishing Ltd. Received 7 February 2011; in final form 7 May 2011; Published 16 June 2011. We would like to thank Michael Boyle and Nick Taylor for providing the NR waveforms that we are analyzing in this paper. We also thank Tanja Hinderer, Lucia Santamaría and Michele Vallisneri for careful reading of this manuscript. It is a pleasure to acknowledge useful discussions with P Ajith, Mike Boyle, Duncan Brown, Alessandra Buonnano, Curt Cutler, Scott Hughes, Lee Lindblom, Frank Ohme, Ben Owen, and Larne Pekowski. HP gratefully acknowledges support from the NSERC of Canada, from the Canada Research Chairs Program, and from the Canadian Institute for Advanced Research. SMN’s research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.|
|Classification Code:||PACS: 04.25.D−, 04.25.dg, 04.25.Nx, 04.30.−w|
|Official Citation:||Suitability of post-Newtonian/numerical-relativity hybrid waveforms for gravitational wave detectors Ilana MacDonald et al 2011 Class. Quantum Grav. 28 134002|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||05 Jul 2011 19:58|
|Last Modified:||07 Nov 2012 23:54|
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