Two-Dimensional Correlation Function of Binary Black Hole Coalescences

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 correl...

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Bibliographic Details
Main Authors: Marco Cavaglià, Ashini Modi
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/7/93
Description
Summary: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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>γ</mi> <mo>=</mo> <mn>2.24</mn> <mo>±</mo> <mn>0.33</mn> </mrow> </semantics> </math> </inline-formula> at the three-<inline-formula> <math display="inline"> <semantics> <mi>σ</mi> </semantics> </math> </inline-formula> confidence level, a value consistent with the measured distribution of galaxies.
ISSN:2218-1997