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

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https://ir.library.oregonstate.edu/concern/articles/td96k4472

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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” (m₁ + m₂ ≲ 12M[subscript ⊙]) 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.
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  • Ajith, P., Fotopoulos, N., Privitera, S., Neunzert, A., & 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), 084041. doi:10.1103/PhysRevD.89.084041
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  • 89
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  • 8
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  • 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 Fast Track 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.
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