利用联合参数估计区分随机引力波信号与相关噪声：地面探测器的 Fisher 分析
Distinguishing a stochastic gravitational-wave signal from correlated noise with joint parameter estimation: Fisher analysis for ground-based detectors
AI总结：
本文利用基于相关磁噪声解析模型的 Fisher 分析，研究了在存在相关磁噪声时随机引力波背景（SGWB）的可探测性，发现两者参数无显著简并性，边缘化处理最多使约束变差约2倍，但忽略相关噪声会导致偏差。
摘要：
通过对探测器信号进行互相关处理，可提高对随机引力波背景（SGWB）的搜索灵敏度。然而，最严重的问题之一是探测器之间相关的环境噪声。地球上的全球电磁场（即 Schumann resonances，舒曼共振）通过仪器的磁耦合产生相关噪声。本文基于相关磁噪声的解析模型，利用 Fisher 分析研究了在存在相关磁噪声的情况下 SGWB 的可探测性。我们发现 SGWB 与噪声参数之间不存在显著的简并性。在四探测器的情况下，无论磁耦合强度如何，对相关噪声参数进行边缘化最多会使每个 SGWB 参数的约束变差约 2 倍。我们还确认，预测结果对相关噪声参数的变化具有鲁棒性，对于第二代探测器，在耦合参数的现实范围内，变化幅度可达 40%。然而，在参数估计中忽略相关噪声通常会导致对 SGWB 参数的约束产生偏差。如果耦合强度是预期的两倍，这可能会导致严重的偏差。
英文摘要：
Search sensitivity to a stochastic gravitational-wave background (SGWB) is enhanced by cross-correlating detector signals. However, one of the most serious concerns is the environmental noise correlated between detectors. The global electromagnetic fields on the Earth, known as Schumann resonances, produce the correlated noise through the instrumental magnetic couplings. In this paper, we study the detectability of a SGWB in the presence of the correlated magnetic noise, using the Fisher analysis based on the analytical model of the correlated magnetic noise. We find that there is no significant degeneracy between the SGWB and noise parameters. Marginalizing over the correlated noise parameters degrades the constraint on each SGWB parameter by a factor of $\sim2$ at most in the four-detector case, irrespective of the strength of the magnetic coupling. We also confirm that the forecast results are robust against the variation of correlated noise parameters and can vary up to $40\%$ in the realistic range of the coupling parameters for the second-generation detectors. However, ignoring the correlated noise in parameter estimation generally leads to a biased constraint on the SGWB parameters. If the coupling strength is twice as large as expected, this could result in a serious bias.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
