优先级 65 · 引力波电磁对应体 · 多信使触发与联合 · 任务方法
All You Need is not $Ω_\mathrm{gw}$: Beyond the Mean of the Cross-Correlation Estimator when Searching for an Astrophysical Gravitational-Wave Background
所需的不仅是 Ω_gw:搜索天体物理引力波背景时超越互相关估计量均值
Haowen Zhong (School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA), Francesco Iacovelli (William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA), Vuk Mandic (School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA) et al.
原文摘要Abstract
Searches for the stochastic gravitational-wave background (SGWB) using ground-based detectors rely heavily on the cross-correlation estimator $\bar C_f$, whose statistical properties determine the theoretical foundation for inference frameworks built on it. Past analyses usually assume Gaussianity of $\bar C_f$, but this assumption has not been systematically tested for a background of astrophysical origin like the one produced by compact binary coalescences. In this work, we decompose $\bar C_f$ into three physically motivated components: (1) the mean intensity, (2) the geometrical shot noise, and (3) the polarization leakage, and we compute 90\% credible intervals for its cumulants up to fourth order for the binary black hole, binary neutron star, and neutron star-black hole populations by propagating local merger rate uncertainties. We find that for the upcoming LIGO O5 sensitivity, $\bar C_f$ remains effectively Gaussian for all three populations, validating current Gaussian likelihood frameworks. For Cosmic Explorer (CE), however, the $\bar C_f$ produced by binary black holes becomes non-Gaussian, with skewness and excess kurtosis of $0.31^{+0.04}_{-0.03}$ and $1.3^{+0.4}_{-0.3}$, respectively, in the most sensitive band over a one-year observation period. For binary neutron star and neutron star - black hole mergers, $\bar C_f$ remains largely Gaussian even at CE. These results indicate that the Edgeworth expansion provides an adequate leading-order description of the non-Gaussianity expected in the next-generation era, while also motivating the development of more sophisticated statistical methods for a more accurate treatment.
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AI 综述
AI-generated · 以原文为准
亮点首次系统量化了天体物理 CBC 背景对互相关估计量 C̄_f 高阶统计的影响,分解出三个可解释物理来源;发现下一代 CE 探测器下 BBH 背景具有不可忽略的偏度与峰度,而 O5 阶段现有高斯似然仍然有效。
脉络与展望既往工作多关注宇宙学背景下的高斯假设,或仅针对天体物理背景的“爆米花”非平稳与 shot noise 效应(Drasco+ 2003、Jenkins+ 2019);近期研究开始转向实际观测量而非理论 Ω_gw 的非高斯性(Lamb+ 2026、Zhong+ 2026)。本文通过把 C̄_f 分解为平均强度、几何散粒噪声和偏振泄漏,并计算到四阶累积量,系统补上了跨频率、跨群体和跨探测器灵敏度的空白。结果显示 O5 时代高斯似然仍适用,而 CE 时代 BBH 背景出现中等非高斯,Edgeworth 展开可作为首阶近似;未来需发展非高斯似然、频率相关建模,或在下一代探测中通过 notch 移除已分辨 BBH 信号(Zhong+ 2024)。这为下一代地面探测器上天体物理背景的联合推断和统计方法设计提供了量化依据。
预印本 2026-08-11 · 收录 2026-08-20