Measuring angular N -point correlations of binary black hole merger gravitational-wave events with hierarchical Bayesian inference
Measuring angular N -point correlations of binary black hole merger gravitational-wave events with hierarchical Bayesian inference
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DOI：
10.1103/physrevd.102.063007
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发表时间：
2020-05
影响因子：
5
通讯作者：
S. Banagiri;V. Mandic;C. Scarlata;Kate Z. Yang
中科院分区：
文献类型：
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作者：
S. Banagiri;V. Mandic;C. Scarlata;Kate Z. Yang
先进的LIGO和Virgo在第二次观测结束时发现了10个双黑洞合并。这些合并已经允许对宇宙中黑洞的人口分布进行限制，这只会随着更多的探测和探测器灵敏度的提高而改善。在本文中，我们开发的技术来测量黑洞合并的角分布，通过测量它们的统计N点相关性，通过分层贝叶斯推理。我们将其应用到特殊情况下的两点角相关使用勒让德多项式的天空。在参考文献中引入的混合模型形式主义的基础上。[1]我们展示了如何可以测量两点相关性，而没有显著性阈值，使我们能够针对当前一代地面探测器无法分辨的亚阈值二元黑洞合并的集合。我们还展示了如何使用这些方法将引力波与其他大尺度角结构的探测器（如星系计数）相关联，并通过模拟验证这两种技术。
Advanced LIGO and Virgo have detected ten binary black hole mergers by the end of their second observing run. These mergers have already allowed constraints to be placed on the population distribution of black holes in the Universe, which will only improve with more detections and increasing sensitivity of the detectors. In this paper we develop techniques to measure the angular distribution of black hole mergers by measuring their statistical N-point correlations through hierarchical Bayesian inference. We apply it to the special case of two-point angular correlations using a Legendre polynomial basis on the sky. Building on the mixture model formalism introduced in Ref.[1] we show how one can measure two-point correlations with no threshold on significance, allowing us to target the ensemble of sub-threshold binary black hole mergers not resolvable with the current generation of ground based detectors. We also show how one can use these methods to correlate gravitational waves with other probes of large scale angular structure like galaxy counts, and validate both techniques through simulations.