论文标题
研究面内旋转方向对进攻BBH系统的影响
Investigating the effect of in-plane spin directions for Precessing BBH systems
论文作者
论文摘要
联合BBH波形的形态受其旋转影响。用于推断源参数的波形模型具有几个内置近似值。在当前的进攻型Imrphenom和SeoBNR波形模型中，在轨道平面上投射的旋转的系统有效地映射到相同的系统（bar a a a a a a bar a a a the相变），并且由于$+m $ $ -m $ $ $ $ $ $ $的不对称性有效地映射到相同的系统（bar a a a a bar a a bar a a bar a a bar a a bar a bar a bar a bar a bar a bar a bar a bar a bar a bar a bar a bar a bar）。在这项研究中，我们通过生成具有不同平面内旋转方向（包括几种超级踢型配置）的单旋NR系统的数值相对性（NR）模拟来研究这些近似值的有效性，并提供了SNR的估计值，并估算了不同的平面内旋转方向的效果。这是在计算这些波形之间匹配的情况下完成的，并使用这些匹配值来估计可区分性SNR。我们还使用具有不同自旋尺寸的NR波形来比较旋转幅度与面内旋转方向的可测量性。我们发现，可以通过当前生成检测器访问的SNR上的平面内旋转方向，而与改变平面内旋转幅度相比，不同的平面内旋转的可区分性SNR。然后，我们从波形中删除模式 - 对称含量，发现，i）删除模式 - 对称性增加了可以测量平面内旋转方向的SNR，ii）ii）不建模模式模型将导致测量偏差。我们看到的SNR可以测量平面内旋转，并且在哪种模式 - 对称含量上影响测量值是可以测量进液的SNR，因此我们得出结论，对平面内旋转方向和模式 - 对称效应进行建模对于预分支的无偏测量是必需的。
Morphology of coalescing BBH waveforms are affected by its spins. Waveform models built for inference of source parameters have several in-built approximations. In current precessing IMRPhenom and SEOBNR waveform models, systems with the same spin magnitude but varying orientation of spins projected on the orbital plane are effectively mapped to the same system (bar an overall phase change) and the asymmetry due to precession between the $+m$ and $-m$ modes is not modelled. In this study, we investigate the validity of these approximations by generating numerical relativity (NR) simulations of single-spin NR systems with varying in-plane spin directions (including several superkick configurations) and provide an estimate of the SNR at which the effect of varying in-plane spin directions would be measurable. This is done computing the match between these waveforms and using these match values to estimate the distinguishability SNR. We also use NR waveforms with different spin magnitudes to compare the measurability of spin magnitude vs. in-plane spin direction. We find that the in-plane spin direction could be measurable at SNRs accessible by current generation detectors, with the distinguishability SNR of varying in-plane spins comparable to or lower than varying the in-plane spin magnitude. We then remove the mode-asymmetry content from the waveforms and find that, i) removing mode-asymmetry increases the SNR at which in-plane spin direction can be measured and ii) not modelling mode-asymmetry will lead to measurement biases. The SNRs that we see at which the in-plane spins would be measurable and at which mode-asymmetric content impacts the measurements are the SNRs at which precession would be measurable, and we therefore conclude that modelling in-plane spin direction and mode-asymmetry effects is necessary for unbiassed measurements of precession.
