论文标题
二进制黑洞结合的二维相关函数
Two-dimensional correlation function of binary black hole coalescences
论文作者
论文摘要
我们计算Ligo-Virgo的第一和第二观察过程中二进制黑洞合并检测的二维相关函数。通过将观察到的相关函数与从天空中均匀分布的定位误差区域的模拟数据集进行比较，测试了不同角度尺度上二进制黑洞合并事件的天空分布。在任何角度尺度上均未发现过多的相关性。相关函数的幂律坡度估计为$γ= 2.24 \ pm 0.33 $在三-$σ$置信水平上，该值与星系的测量分布一致。
We compute the two-dimensional correlation functions of the binary black hole coalescence detections in LIGO-Virgo's first and second observation runs. The sky distribution of binary black hole coalescence events is tested for correlations at different angular scales by comparing the observed correlation function to two reference functions that are obtained from mock datasets of localization error regions uniformly distributed in the sky. No excess correlation at any angular scale is found. The power-law slope of the correlation function is estimated to be $γ= 2.24\pm 0.33$ at the three-$σ$ confidence level, a value consistent with the measured distribution of galaxies.
