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arxiv: 1903.06881 · v2 · pith:OWIRJRVAnew · submitted 2019-03-16 · 🌌 astro-ph.HE

A self-consistent method to estimate the rate of compact binary coalescences with a Poisson mixture model

Shasvath J. Kapadia , Sarah Caudill , Jolien D. E. Creighton , Will M. Farr , Gregory Mendell , Alan Weinstein , Kipp Cannon , Heather Fong
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Patrick Godwin Rico K. L. Lo Ryan Magee Duncan Meacher Cody Messick Siddharth R. Mohite Debnandini Mukherjee Surabhi Sachdev
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classification 🌌 astro-ph.HE
keywords binaryastrophysicalprobabilitiesblackcandidatecompactdataduring
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The recently published GWTC-1 - a journal article summarizing the search for gravitational waves (GWs) from coalescing compact binaries in data produced by the LIGO-Virgo network of ground-based detectors during their first and second observing runs - quoted estimates for the rates of binary neutron star, neutron star black hole binary, and binary black hole mergers, as well as assigned probabilities of astrophysical origin for various significant and marginal GW candidate events. In this paper, we delineate the formalism used to compute these rates and probabilities, which assumes that triggers above a low ranking statistic threshold, whether of terrestrial or astrophysical origin, occur as independent Poisson processes. In particular, we include an arbitrary number of astrophysical categories by redistributing, via mass-based template weighting, the foreground probabilities of candidate events, across source classes. We evaluate this formalism on synthetic GW data, and demonstrate that this method works well for the kind of GW signals observed during the first and second observing runs.

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Cited by 5 Pith papers

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    GWTC-1 reports 11 significant compact binary merger events from O1 and O2 with inferred rates of 9.7-101 Gpc^{-3} y^{-1} for binary black holes and 110-3840 Gpc^{-3} y^{-1} for binary neutron stars.

  2. GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

    gr-qc 2020-10 accept novelty 7.0

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    gr-qc 2021-08 accept novelty 4.0

    GWTC-2.1 adds eight new high-significance compact binary coalescence events to the prior catalog, extending the observed black hole mass range and including candidates inside the pair-instability mass gap.

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