论文标题
测量二进制黑洞合并重力波事件的角度N点相关性与等级贝叶斯推断
Measuring angular N-point correlations of binary black hole merger gravitational-wave events with hierarchical Bayesian inference
论文作者
论文摘要
高级Ligo和处女座在第二次观察奔跑结束时检测到了十个二进制黑洞合并。这些合并已经允许对宇宙中黑洞的种群分布的限制放置，这只会通过更多的检测和提高检测器的敏感性来改善。在本文中，我们开发了通过通过层次贝叶斯推论来测量其统计N点相关性来测量黑洞合并的角度分布的技术。我们将其应用于使用Legendre多项式基础上的特殊情况，以两点角相关性。基于参考文献[1]中引入的混合模型形式主义我们展示了如何测量没有显着性阈值的两点相关性，从而使我们能够针对亚阈值二进制黑洞合并的合奏，而与当前的基于地面的检测器无法分解。我们还展示了如何使用这些方法将重力波与其他大型角结构（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.
