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Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration

机译:NRAR协作产生的数值波形的误差分析和与分析模型的比较

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摘要

The Numerical–Relativity–Analytical–Relativity (NRAR) collaboration is a joint effort between members of the numerical relativity, analytical relativity and gravitational-wave data analysis communities. The goal of the NRAR collaboration is to produce numerical-relativity simulations of compact binaries and use them to develop accurate analytical templates for the LIGO/Virgo Collaboration to use in detecting gravitational-wave signals and extracting astrophysical information from them. We describe the results of the first stage of the NRAR project, which focused on producing an initial set of numerical waveforms from binary black holes with moderate mass ratios and spins, as well as one non-spinning binary configuration which has a mass ratio of 10. All of the numerical waveforms are analysed in a uniform and consistent manner, with numerical errors evaluated using an analysis code created by members of the NRAR collaboration. We compare previously-calibrated, non-precessing analytical waveforms, notably the effective-one-body (EOB) and phenomenological template families, to the newly-produced numerical waveforms. We find that when the binary's total mass is ~100–200M_⊙, current EOB and phenomenological models of spinning, non-precessing binary waveforms have overlaps above 99% (for advanced LIGO) with all of the non-precessing-binary numerical waveforms with mass ratios ≤4, when maximizing over binary parameters. This implies that the loss of event rate due to modelling error is below 3%. Moreover, the non-spinning EOB waveforms previously calibrated to five non-spinning waveforms with mass ratio smaller than 6 have overlaps above 99.7% with the numerical waveform with a mass ratio of 10, without even maximizing on the binary parameters.
机译:数值相对论,分析相对论(NRAR)协作是数值相对论,分析相对论和引力波数据分析团体成员之间的共同努力。 NRAR合作的目标是生成紧凑型二进制文件的数值相关性仿真,并使用它们为LIGO / Virgo Collaboration开发精确的分析模板,以检测引力波信号并从中提取天体信息。我们描述了NRAR项目第一阶段的结果,该阶段的重点是从具有中等质量比和自旋的二元黑洞以及质量比为10的一个非自旋二元配置中产生一组初始的数字波形。 。以统一一致的方式分析所有数字波形,并使用NRAR合作成员创建的分析代码评估数字误差。我们将先前已校准的,无需处理的分析波形(特别是有效一体(EOB)和现象学模板系列)与新生成的数值波形进行了比较。我们发现,当二进制的总质量为〜100–200M_⊙时,当前的EOB和旋转现象学模型中,非进动二进制波形与99%的重叠(对于高级LIGO)与所有非进阶二进制数值波形重叠,当最大化二元参数时,质量比≤4。这意味着由于建模错误而导致的事件率损失低于3%。此外,先前校准为质量比小于6的五个非旋转波形的非旋转EOB波形与质量比为10的数值波形重叠超过99.7%,甚至没有最大化二进制参数。

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