论文标题
VAMANA：建模具有最小假设的二进制黑洞人口
VAMANA: Modeling Binary Black Hole Population with Minimal Assumptions
论文作者
论文摘要
紧凑型二进制文件的种群分析涉及重建某些引力 - 质量和自旋分布等引力波（GW）信号参数，这些参数引起了观察到的数据。本文介绍了Vamana，该Vamana使用混合模型重建了二进制黑洞的种群，并促进了数据所示的出色密度测量。 Vamana使用加权高斯人的混合物来重建CHIRP质量分布。我们预计高斯混合物将在建模复杂分布中提供灵活性，并使我们能够捕获天体物理chirp质量分布中的细节。混合物中的每个高斯人都与另一个高斯和一个幂律结合，以同时对旋转成分与轨道角动量和质量比分布对齐，从而使我们能够用chirp质量捕获它们的变化。此外，我们还可以通过将高斯混合物限制在预定义的参考chirp质量分布的阈值距离内，从而引入宽带平滑。使用模拟数据，我们显示了我们方法在重建大量观测值的复杂群体方面的鲁棒性。我们还将我们的方法应用于Ligo和处女座的第一和第二观测过程中的GW观测目录，并呈现重建的质量，自旋分布以及估计的二进制黑洞合并率。
The population analysis of compact binaries involves the reconstruction of some of the gravitational wave (GW) signal parameters, such as, the mass and the spin distribution, that gave rise to the observed data. This article introduces VAMANA, which reconstructs the binary black hole population using a mixture model and facilitates excellent density measurement as informed by the data. VAMANA uses a mixture of weighted Gaussians to reconstruct the chirp mass distribution. We expect Gaussian mixtures to provide flexibility in modeling complex distributions and enable us in capturing details in the astrophysical chirp mass distribution. Each of the Gaussian in the mixture is combined with another Gaussian and a power-law to simultaneously model the spin component aligned with the orbital angular momentum and the mass ratio distribution, thus also allowing us to capture their variation with the chirp mass. Additionally, we can also introduce broadband smoothing by restricting the Gaussian mixture to lie within a threshold distance of a predefined reference chirp mass distribution. Using simulated data we show the robustness of our method in reconstructing complex populations for a large number of observations. We also apply our method to the publicly available catalog of GW observations made during LIGO's and Virgo's first and second observation runs and present the reconstructed mass, spin distribution, and the estimated merger rate of binary black holes.
