论文标题
频域降低了带有高阶模式的对齐旋转有效的一体波形的顺序模型
Frequency domain reduced order model of aligned-spin effective-one-body waveforms with higher-order modes
论文作者
论文摘要
We present a frequency domain reduced order model (ROM) for the aligned-spin effective-one-body (EOB) model for binary black holes (BBHs) SEOBNRv4HM that includes the spherical harmonics modes $(\ell, |m|) = (2,1),(3,3),(4,4),(5,5)$ beyond the dominant $(\ell, |m|) = (2,2)$ mode.这些较高的模式对于准确表示从非对称BBHS发出的波形至关重要。我们讨论了波形的分解，扩展了文献中的其他方法，使我们能够准确有效地捕获高模式波形的形态。我们表明，ROM非常准确，不忠的中位数（最大）值对SeoBNRV4HM低于$ 0.001 \％（0.03 \％）$，总质量为$ [2.8,100] m_ \ odot $。对于总质量为$ m = 300 m_ \ odot $，不忠的中值（最大）值增加了$ 0.004 \％\％（0.17 \％）$。与数值相对性模拟相比，这仍然至少比SEOBNRV4HM的估计准确性低一个数量级。与SEOBNRV4HM相比，ROM在产生波形方面的速度更快。数据分析应用程序通常需要$ \ MATHCAL {O}（10^6-10^8）$ SEOBNRV4HM通常太慢的波形评估。因此，ROM对于允许SEOBNRV4HM波形用于搜索和贝叶斯参数推断至关重要。我们提出了一项针对性的参数估计研究，该研究显示了使用包含较高模式并与其他三个波形模型进行比较的波形时测量二进制参数的改进。
We present a frequency domain reduced order model (ROM) for the aligned-spin effective-one-body (EOB) model for binary black holes (BBHs) SEOBNRv4HM that includes the spherical harmonics modes $(\ell, |m|) = (2,1),(3,3),(4,4),(5,5)$ beyond the dominant $(\ell, |m|) = (2,2)$ mode. These higher modes are crucial to accurately represent the waveform emitted from asymmetric BBHs. We discuss a decomposition of the waveform, extending other methods in the literature, that allows us to accurately and efficiently capture the morphology of higher mode waveforms. We show that the ROM is very accurate with median (maximum) values of the unfaithfulness against SEOBNRv4HM lower than $0.001\% (0.03\%)$ for total masses in $[2.8,100] M_\odot$. For a total mass of $M = 300 M_\odot$ the median (maximum) value of the unfaithfulness increases up to $0.004\% (0.17\%)$. This is still at least an order of magnitude lower than the estimated accuracy of SEOBNRv4HM compared to numerical relativity simulations. The ROM is two orders of magnitude faster in generating a waveform compared to SEOBNRv4HM. Data analysis applications typically require $\mathcal{O}(10^6-10^8)$ waveform evaluations for which SEOBNRv4HM is in general too slow. The ROM is therefore crucial to allow the SEOBNRv4HM waveform to be used in searches and Bayesian parameter inference. We present a targeted parameter estimation study that shows the improvements in measuring binary parameters when using waveforms that includes higher modes and compare against three other waveform models.
