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Effectual template bank for the detection of gravitational waves from inspiralling compact binaries with generic spins

Ajith, P. and Fotopoulos, N. and Privitera, S. and Neunzert, A. and Mazumder, N. and Weinstein, A. J. (2014) Effectual template bank for the detection of gravitational waves from inspiralling compact binaries with generic spins. Physical Review D, 89 (8). Art. No. 084041 . ISSN 2470-0010. doi:10.1103/PhysRevD.89.084041.

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We report the construction of a three-dimensional template bank for the search for gravitational waves from inspiralling binaries consisting of spinning compact objects. The parameter space consists of two dimensions describing the mass parameters and one “reduced-spin” parameter, which describes the secular (nonprecessing) spin effects in the waveform. The template placement is based on an efficient stochastic algorithm and makes use of the semianalytical computation of a metric in the parameter space. We demonstrate that for “low-mass” (m_1+m_2≲12M⊙) binaries, this template bank achieves effective fitting factors ∼0.92– 0.99 towards signals from generic spinning binaries in the advanced detector era over the entire parameter space of interest (including binary neutron stars, binary black holes, and black-hole neutron-star binaries). This provides a powerful and viable method for searching for gravitational waves from generic spinning low-mass compact binaries. Under the assumption that spin magnitudes of black holes (neutron stars) are uniformly distributed between 0–0.98 [0–0.4] and spin angles are isotropically distributed, the expected improvement in the average detection volume (at a fixed signal-to-noise-ratio threshold) of a search using this reduced-spin bank is ∼20%–52%, as compared to a search using a nonspinning bank.

Item Type:Article
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URLURL TypeDescription Paper DOIArticle
Ajith, P.0000-0001-7519-2439
Weinstein, A. J.0000-0002-0928-6784
Additional Information:© 2014 American Physical Society. Received 7 January 2014; published 8 April 2014. The authors thank Chad Hanna for useful comments on the manuscript, and Duncan Brown, Alessandra Buonanno, Kipp Cannon, Gian Mario Manca, Chad Hanna, Ian Harry, Drew Keppel, Andrew Lundgren, Evan Ochsner, for useful discussions. This work is supported by the LIGO Laboratory, NSF Grants No. PHY-0653653 and No. PHY- 0601459, NSF career Grant No. PHY-0956189 and the David and Barbara Groce Fund at Caltech. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058. P. A. thanks the hospitality of the Kavli Institute of Theoretical Physics (supported by the NSF Grant No. PHY11-25915) during the preparation of this manuscript, while S. P. and N. M. thank the hospitality of the International Centre for Theoretical Sciences (ICTS). P. A.’s research is also supported by a FastTrack fellowship and a Ramanujan Fellowship from the Department of Science and Technology, India and by the EADS Foundation through a chair position on “Mathematics of Complex Systems” at ICTS. N. M. is supported by the DST-MPG Max Planck Partner Group Grant (funded by the Department of Science and Technology, India and Max Planck Society, Germany) under the Grant No. IGSTC/MPG/PG (AP) 2011. A. N. thanks the LIGO-REU program for support and Caltech for hospitality. This paper has the LIGO Document No. LIGOP1200106-v3.
Funding AgencyGrant Number
Caltech David and Barbara Groce FundUNSPECIFIED
NSF Cooperative AgreementPHY-0757058
Department of Science and Technology (India) FastTrack FellowshipUNSPECIFIED
Department of Science and Technology (India) Ramanujan FellowshipUNSPECIFIED
DST-MPG Max Planck Partner Group GrantIGSTC/MPG/PG (AP) 2011
Department of Science and Technology (India)UNSPECIFIED
Max Planck Society (Germany)UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO Document NumberLIGOP1200106-v3
Issue or Number:8
Classification Code:PACS: 04.30.-w, 04.25.dg, 29.85.Fj
Record Number:CaltechAUTHORS:20140603-141049463
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46054
Deposited By: Tony Diaz
Deposited On:03 Jun 2014 21:48
Last Modified:10 Nov 2021 17:20

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