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arXiv 1302.6049astro-ph.HEgr-qc
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先进探测器中质量比聚结搜索波形要求的研究

Studies of waveform requirements for intermediate mass-ratio coalescence searches with advanced detectors

R. J. E. Smith, I. Mandel, A. Vecchio

摘要:

恒星质量致密物体合并成中等质量黑洞(中等质量比合并; IMRAC)是地面引力波干涉仪在所谓高级配置中的一个重要天体物理来源。然而,对这些系统进行有效的基于匹配滤波器的搜索的能力受到缺乏可靠波形的限制。在这里,我们考虑的双星中,中等质量的黑洞的质量范围在24 - 200太阳质量与恒星质量的伴侣有质量范围在1.4 - 18.5太阳质量。此外,我们将双星的质量比q限制在1/140 < q < 1/10的范围内,并将我们的研究限制在具有非自旋组件的圆形双星的情况下。我们调查的相对贡献的信噪比(SNR)的三个不同阶段的合并:螺旋,合并和衰荡。我们发现,合并和振铃贡献了相当大一部分的总SNR的质量参数空间的大部分,虽然在有限的一部分的SNR是占主导地位的inspiral阶段。我们进一步确定了IMRAC质量空间中的三个区域,其中:(i)仅吸气搜索可以在检测率L损失在10% < L <27%的范围内的情况下执行,(ii)基于仅吸气模板的搜索导致检测率损失在27% < L <50%的范围内,以及(iii)包括合并和振铃的模板对于防止超过50%的检测率损失是必不可少的。我们调查的有效性,其中的IMRAC波形空间的吸气仅部分被覆盖,通过比较几个现有的波形家庭在这个制度。我们的研究结果加强了广泛的数值相对论模拟IMRAC的重要性,需要进一步研究合适的近似方案在这个质量范围内。

英文摘要:

The coalescence of a stellar-mass compact object into an intermediate-mass black hole (intermediate mass-ratio coalescence; IMRAC) is an important astrophysical source for ground-based gravitational-wave interferometers in the so-called advanced configuration. However, the ability to carry out effective matched-filter based searches for these systems is limited by the lack of reliable waveforms. Here we consider binaries in which the intermediate-mass black hole has mass in the range 24 - 200 solar masses with a stellar-mass companion having masses in the range 1.4 - 18.5 solar masses. In addition, we constrain the mass ratios, q, of the binaries to be in the range 1/140 < q < 1/10 and we restrict our study to the case of circular binaries with non-spinning components. We investigate the relative contribution to the signal-to-noise ratio (SNR) of the three different phases of the coalescence: inspiral, merger and ringdown. We show that merger and ringdown contribute to a substantial fraction of the total SNR over a large portion of the mass parameter space, although in a limited portion the SNR is dominated by the inspiral phase. We further identify three regions in the IMRAC mass-space in which: (i) inspiral-only searches could be performed with losses in detection rates L in the range 10% < L < 27%, (ii) searches based on inspiral-only templates lead to a loss in detection rates in the range 27% < L < 50%$, and (iii) templates that include merger and ringdown are essential to prevent losses in detection rates greater than 50%. We investigate the effectiveness with which the inspiral-only portion of the IMRAC waveform space is covered by comparing several existing waveform families in this regime. Our results reinforce the importance of extensive numerical relativity simulations of IMRACs and the need for further studies of suitable approximation schemes in this mass range.

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