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Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning

Wong, Kaze W. K. and Breivik, Katelyn and Kremer, Kyle and Callister, Thomas (2021) Joint constraints on the field-cluster mixing fraction, common envelope efficiency, and globular cluster radii from a population of binary hole mergers via deep learning. Physical Review D, 103 (8). Art. No. 083021. ISSN 2470-0010.

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The recent release of the second Gravitational-Wave Transient Catalog (GWTC-2) has increased significantly the number of known GW events, enabling unprecedented constraints on formation models of compact binaries. One pressing question is to understand the fraction of binaries originating from different formation channels, such as isolated field formation versus dynamical formation in dense stellar clusters. In this paper, we combine the cosmic binary population synthesis suite and the cmc code for globular cluster evolution to create a mixture model for black hole binary formation under both formation scenarios. For the first time, these code bodies are combined self-consistently, with cmc itself employing cosmic to track stellar evolution. We then use a deep-learning enhanced hierarchical Bayesian analysis to continuously sample over and constrain the common envelope efficiency α assumed in cosmic, the initial cluster virial radius r_v adopted in cmc, and the intrinsic mixture fraction f between each channel. Under specific assumptions about other uncertain aspects of isolated binary and globular cluster evolution, we report the median and 90% confidence interval of three physical parameters for the intrinsic population (f,α,r_v) = (0.20^(+0.32)_(−0.18), 2.26^(+2.65)_(−1.84), 2.71^(+0.83)_(−1.17)). This simultaneous constraint agrees with observed properties of globular clusters in the Milky Way and is an important first step in the pathway toward learning the astrophysics of compact binary formation through GW observations.

Item Type:Article
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URLURL TypeDescription Paper
Wong, Kaze W. K.0000-0001-8432-7788
Kremer, Kyle0000-0002-4086-3180
Callister, Thomas0000-0001-9892-177X
Additional Information:© 2021 American Physical Society. (Received 25 November 2020; accepted 24 March 2021; published 23 April 2021) The authors are grateful to Simone Bavera, Vishal Baibhav, Christopher Berry, Emanuele Berti, Will Farr, Maya Fishbach, Vicky Kalogera, Ken K. Y. Ng, Isobel Romero-Shaw, Mike Zevin, and the referee for constructive feedback. K. W. K. W. is supported by NSF Grants No. PHY-1912550 and No. AST-2006538, NASA ATP Grants No. 17-ATP17-0225 and No. 19-ATP19-0051, and NSF-XSEDE Grant No. PHY-090003. This research has made use of data, software and/or web tools obtained from the Gravitational Wave Open Science Center [92], a service of LIGO Laboratory, the LIGO Scientific Collaboration and the Virgo Collaboration. This research project was conducted using computational resources at the Maryland Advanced Research Computing Center (MARCC). The authors would like to acknowledge networking support by the GWverse COST Action CA16104, “Black holes, gravitational waves and fundamental physics. K. K. is supported by an NSF Astronomy and Astrophysics Postdoctoral Fellowship under Grant No. AST-2001751. The Flatiron Institute is supported by the Simons Foundation. Portions of this work were performed during the CCA LISA Sprint, supported by the Simons Foundation.
Funding AgencyGrant Number
European Cooperation in Science and Technology (COST)CA16104
NSF Astronomy and Astrophysics FellowshipAST-2001751
Simons FoundationUNSPECIFIED
Issue or Number:8
Record Number:CaltechAUTHORS:20210429-144553365
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108882
Deposited By: George Porter
Deposited On:30 Apr 2021 15:03
Last Modified:30 Apr 2021 15:03

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