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arXiv 2008.12663gr-qcastro-ph.HE
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前四个黑洞双星合并中的Pearson互相关

Pearson cross-correlation in the first four black hole binary mergers

Paolo Marcoccia, Felicia Fredriksson, Alex B. Nielsen, Germano Nardini

摘要:

采用Pearson互相关方法对GW150914、GW151012、GW151226和GW170104等事件的LIGO Hanford和LIGO Livingston探测器数据流进行了分析。我们发现,皮尔逊互相关方法是敏感的,这些信号,与相关性达到峰值时,由LIGO科学和处女座合作重建的黑洞二进制文件,合并。我们比较得到的互相关与统计相关性波动所产生的模拟高斯噪声数据和LIGO数据的时候,没有事件被要求。我们对观测到的互相关的显著性的结果与LIGO Scientific和Virgo Collaborations基于匹配滤波器分析所宣布的结果大致一致。在相同的数据中,如果我们减去对应于通告信号的极大似然波形,则没有残留互相关保持在统计显著水平。

英文摘要:

We adopt the Pearson cross-correlation measure to analyze the LIGO Hanford and LIGO Livingston detector data streams around the events GW150914, GW151012,GW151226 and GW170104. We find that the Pearson cross-correlation method is sensitive to these signals, with correlations peaking when the black hole binaries reconstructed by the LIGO Scientific and Virgo Collaborations, are merging. We compare the obtained cross-correlations with the statistical correlation fluctuations arising in simulated Gaussian noise data and in LIGO data at times when no event is claimed. Our results for the significance of the observed cross-correlations are broadly consistent with those announced by the LIGO Scientific and Virgo Collaborations based on matched-filter analysis. In the same data, if we subtract the maximum likelihood waveforms corresponding to the announced signals, no residual cross-correlations persists at a statistically significant level.

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