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

Abstract

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 $\text{COSMIC}$ binary population synthesis suite and the $\text{CMC}$ 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 $\text{CMC}$ itself employing $\text{COSMIC}$ to track stellar evolution. We then use a deep-learning enhanced hierarchical Bayesian analysis to constrain the mixture fraction $f$ between formation models, while simultaneously constraining the common envelope efficiency $\alpha$ assumed in $\text{COSMIC}$ and the initial cluster virial radius $r_v$ assumed in $\text{CMC}$. 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 $(f,\alpha ,r_v)=(0.20_{-0.18}^{+0.32},2.26_{-1.84}^{+2.65},2.71_{-1.17}^{+0.83})$. 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 astrophysics of compact binary formation from GW observations.

arXiv comment8 pages, 5 figures

References in corpus (70)

• Astropy: A Community Python Package for Astronomy
• Observation of Gravitational Waves from a Binary Black Hole Merger
• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• On the variation of the Initial Mass Function
• Binary companions of evolved stars in APOGEE DR14: Search method and catalog of ~5,000 companions
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Binary interaction dominates the evolution of massive stars
• Evolution of binary stars and the effect of tides on binary populations
• Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity
• Did LIGO detect dark matter?
• Young massive star clusters
• Common Envelope Evolution: Where we stand and how we can move forward
• Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties
• Compact Object Modeling with the StarTrack Population Synthesis Code
• Pulsational Pair-Instability Supernovae
• Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
• Extracting distribution parameters from multiple uncertain observations with selection biases
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• Mind the gap: The location of the lower edge of the pair instability supernovae black hole mass gap
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
• Black Holes: The Next Generation -- Repeated Mergers in Dense Star Clusters and their Gravitational-Wave Properties
• Radiation Backgrounds at Cosmic Dawn: X-Rays from Compact Binaries
• Eccentric Black Hole Mergers Forming in Globular Clusters
• Are merging black holes born from stellar collapse or previous mergers?
• Globular clusters as the relics of regular star formation in 'normal' high-redshift galaxies
• COSMIC Variance in Binary Population Synthesis
• On stellar-mass black hole mergers in AGN disks detectable with LIGO
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• Post-common-envelope binaries from SDSS. IX: Constraining the common-envelope efficiency
• The Dynamical Evolution of Stellar Black Holes in Globular Clusters
• Theoretical uncertainties of the type Ia supernova rate
• Merging black holes in young star clusters
• Does the Black Hole Merger Rate Evolve with Redshift?
• Massive runaways and walkaway stars
• The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
• A gravitational-wave measurement of the Hubble constant following the second observing run of Advanced LIGO and Virgo
• The spin of the second-born black hole in coalescing binary black holes
• Constraints from gravitational wave detections of binary black hole mergers on the ${}^{12}\mathrm{C}{\left(\alpha ,\gamma \right)}^{16}\mathrm{O}$ rate
• Modeling Dense Star Clusters in the Milky Way and Beyond with the $\text{CMC}$ Cluster Catalog
• On the alpha formalism for the common envelope interaction
• Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments
• Determining the population properties of spinning black holes
• Black hole mergers from an evolving population of globular clusters
• Monte-Carlo Simulations of Globular Cluster Evolution - I. Method and Test Calculations
• Use of gravitational waves to probe the formation channels of compact binaries
• The formation and hierarchical assembly of globular cluster populations
• Constraining Formation Models of Binary Black Holes with Gravitational-Wave Observations
• Monte Carlo Simulations of Globular Cluster Evolution. IV. Direct Integration of Strong Interactions
• Monte-Carlo simulations of black hole mergers in AGN disks: Low ${\chi }_{\mathrm{eff}}$ mergers and predictions for LIGO
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Exploring the Lower Mass Gap and Unequal Mass Regime in Compact Binary Evolution
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• The Complete Evolution of a Neutron-Star Binary through a Common Envelope Phase Using 1D Hydrodynamic Simulations
• A statistical standard siren measurement of the Hubble constant from the LIGO/Virgo gravitational wave compact object merger GW190814 and Dark Energy Survey galaxies
• Polluting the pair-instability mass gap for binary black holes through super-Eddington accretion in isolated binaries
• Accuracy Requirements for Empirically-Measured Selection Functions
• Accounting for Source Uncertainties in Analyses of Astronomical Survey Data
• Shouts and Murmurs: Combining Individual Gravitational-Wave Sources with the Stochastic Background to Measure the History of Binary Black Hole Mergers
• How initial size governs core collapse in globular clusters
• A Parallel Monte Carlo Code for Simulating Collisional N-body Systems
• Precessional dynamics of black hole triples: binary mergers with near-zero effective spin
• Merger rate of black hole binaries from globular clusters: theoretical error bars and comparison to gravitational wave data from GWTC-2
• Constraining the fraction of binary black holes formed in isolation and young star clusters with gravitational-wave data
• Gravitational wave population inference with deep flow-based generative network
• Machine-learning interpolation of population-synthesis simulations to interpret gravitational-wave observations: a case study
• The branching ratio of LIGO binary black holes

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• The redshift evolution of the binary black hole merger rate: a weighty matter
• The Cosmic Evolution of Binary Black Holes in Young, Globular and Nuclear Star Clusters: Rates, Masses, Spins and Mixing Fractions
• Bayesian Evidence for Both Astrophysical and Primordial Black Holes: Mapping the GWTC-2 Catalog to Third-Generation Detectors
• Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs
• Modeling Dense Star Clusters in the Milky Way and Beyond with the Cluster Monte Carlo Code
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• The Science of the Einstein Telescope
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• Probing multiple populations of compact binaries with third-generation gravitational-wave detectors
• No peaks without valleys: The stable mass transfer channel for gravitational-wave sources in light of the neutron star-black hole mass gap
• Stochastic gravitational-wave background as a tool to investigate multi-channel astrophysical and primordial black-hole mergers
• Formation channels of single and binary stellar-mass black holes
• Exploring Features in the Binary Black Hole Population
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• Suspicious Siblings: The Distribution of Mass and Spin Across Component Black Holes in Isolated Binary Evolution
• Mass and rate of hierarchical black hole mergers in young, globular and nuclear star clusters
• State of the field: Binary black hole natal kicks and prospects for isolated field formation after GWTC-2
• Deep learning and Bayesian inference of gravitational-wave populations: Hierarchical black-hole mergers
• Do unequal-mass binary black hole systems have larger ${\chi }_{\text{eff}}$? Probing correlations with copulas in gravitational-wave astronomy
• Hierarchical Inference of Binary Neutron Star Mass Distribution and Equation of State with Gravitational Waves
• Searching for mass-spin correlations in the population of gravitational-wave events: the GWTC-3 case study
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• Evidence for a correlation between binary black hole mass ratio and black-hole spins
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• Constraining accretion efficiency in massive binary stars with LIGO-Virgo black holes
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• Prospects of gravitational-waves detections from common-envelope evolution with LISA
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• On the Mass Ratio Distribution of Black Hole Mergers in Triple Systems
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• The role of stellar expansion on the formation of gravitational wave sources
• Applying the metallicity-dependent binary fraction to double white dwarf formation: Implications for LISA
• Binary black hole mergers from young massive and open clusters: comparison to GWTC-2 gravitational wave data
• Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows
• Accelerated binary black holes in globular clusters: forecasts and detectability in the era of space-based gravitational-wave detectors
• Backward Population Synthesis: Mapping the Evolutionary History of Gravitational-Wave Progenitors
• Implications of recoil kicks for black hole mergers from LIGO/Virgo catalogs
• The effect of spin mismodeling on gravitational-wave measurements of the binary neutron star mass distribution
• Wind-Reprocessed Transients from Stellar-mass Black Hole Tidal Disruption Events
• No evidence that the binary black hole mass distribution evolves with redshift
• Targeted modeling of GW150914's binary black hole source with dart_board
• An upper limit on the spins of merging binary black holes formed through binary evolution
• Merger rate density of stellar-mass binary black holes from young massive clusters, open clusters, and isolated binaries: comparisons with LIGO-Virgo-KAGRA results
• Population properties of neutron stars in the coalescing compact binaries
• Searching for candidates of coalescing binary black holes formed through chemically homogeneous evolution in GWTC-3
• Search for lensing signatures in the gravitational-wave observations from the first half of LIGO-Virgo's third observing run
• Structure and Skewness of the Effective Inspiral Spin Distribution of Binary Black Hole Mergers
• Constraining black-hole binary spin precession and nutation with sequential prior conditioning
• New insights on binary black hole formation channels after GWTC-2: young star clusters versus isolated binaries
• Great Balls of FIRE III: Modeling Black Hole Mergers from Massive Star Clusters in Simulations of Galaxies
• The imprint of superradiance on hierarchical black hole mergers
• A neural network emulator of the Advanced LIGO and Advanced Virgo selection function
• Surrogate forward models for population inference on compact binary mergers
• Constraining neutron star radii in black hole-neutron star mergers from their electromagnetic counterparts
• Reconstructing parametric gravitational-wave population fits from non-parametric results without refitting the data
• Who Ordered That? Unequal-Mass Binary Black Hole Mergers Have Larger Effective Spins
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• Which black hole formed first? Mass-ratio reversal in massive binary stars from gravitational-wave data
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• Modeling the outcome of supernova explosions in binary population synthesis using the stellar compactness