Exploring the evolution of gravitational-wave emitters with efficient emulation: Constraining the origins of binary black holes using normalising flows

Abstract

Binary population synthesis simulations allow detailed modelling of gravitational-wave sources from a variety of formation channels. These population models can be compared to the observed catalogue of merging binaries to infer the uncertain astrophysical input parameters describing binary formation and evolution, as well as relative rates between various formation pathways. However, it is computationally infeasible to run population synthesis simulations for all variations of uncertain input physics. We demonstrate the use of normalising flows to emulate population synthesis results and interpolate between astrophysical input parameters. Using current gravitational-wave observations of binary black holes, we use our trained normalising flows to infer branching ratios between multiple formation channels, and simultaneously infer common-envelope efficiency and natal spins across a continuous parameter range. Given our set of formation channel models, we infer the natal spin to be $0.04_{-0.01}^{+0.04}$, and the common-envelope efficiency to be $>3.7$ at 90% credibility, with the majority of underlying mergers coming from the common-envelope channel. Our framework allows us to measure population synthesis inputs where we do not have simulations, and better constrain the astrophysics underlying current gravitational-wave populations.

21 pages, 6 figures, 2 tables, 1 appendix. Published in Astrophysical Journal. Data release at https://doi.org/10.5281/zenodo.14967687

References in corpus (96)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• emcee: The MCMC Hammer
• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• Evolution of binary stars and the effect of tides on binary populations
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• Evolution of Binary Black Hole Spacetimes
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Normalizing Flows: An Introduction and Review of Current Methods
• Common Envelope Evolution: Where we stand and how we can move forward
• Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity
• A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties
• Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Merging binary black holes formed through chemically homogeneous evolution in short-period stellar binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• Extracting distribution parameters from multiple uncertain observations with selection biases
• Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections
• Formation of the first three gravitational-wave observations through isolated binary evolution
• The evolutionary roads leading to low effective spins, high black hole masses, and O1/O2 rates of LIGO/Virgo binary black holes
• 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
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• Most Black Holes are Born Very Slowly Rotating
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• Merging black hole binaries: the effects of progenitor's metallicity, mass-loss rate and Eddington factor
• COSMIC Variance in Binary Population Synthesis
• The effect of the metallicity-specific star formation history on double compact object mergers
• Does the Black Hole Merger Rate Evolve with Redshift?
• The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• Black hole growth through hierarchical black hole mergers in dense star clusters: implications for gravitational wave detections
• Estimating the final spin of a binary black hole coalescence
• Forming short-period Wolf-Rayet X-ray binaries and double black holes through stable mass transfer
• Where are LIGO's Big Black Holes?
• Constraining Formation Models of Binary Black Holes with Gravitational-Wave Observations
• The impact of mass-transfer physics on the observable properties of field binary black hole populations
• Evidence for hierarchical black hole mergers in the second LIGO--Virgo gravitational-wave catalog
• The redshift evolution of the binary black hole merger rate: a weighty matter
• POSYDON: A General-Purpose Population Synthesis Code with Detailed Binary-Evolution Simulations
• Constraining the primordial black hole scenario with Bayesian inference and machine learning: the GWTC-2 gravitational wave catalog
• Mass-gap Mergers in Active Galactic Nuclei
• Exploring the Lower Mass Gap and Unequal Mass Regime in Compact Binary Evolution
• The Complete Evolution of a Neutron-Star Binary through a Common Envelope Phase Using 1D Hydrodynamic Simulations
• Accuracy of inference on the physics of binary evolution from gravitational-wave observations
• 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
• Cosmic Rates of Black Hole Mergers and Pair-Instability Supernovae from Chemically Homogeneous Binary Evolution
• Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs
• Polluting the pair-instability mass gap for binary black holes through super-Eddington accretion in isolated binaries
• The Low Effective Spin of Binary Black Holes and Implications for Individual Gravitational-Wave Events
• Explaining LIGO's observations via isolated binary evolution with natal kicks
• Model-independent inference on compact-binary observations
• Mining Gravitational-wave Catalogs To Understand Binary Stellar Evolution: A New Hierarchical Bayesian Framework
• Cover Your Basis: Comprehensive Data-Driven Characterization of the Binary Black Hole Population
• Picky Partners: The Pairing of Component Masses in Binary Black Hole Mergers
• Common envelopes in massive stars: Towards the role of radiation pressure and recombination energy in ejecting red supergiant envelopes
• The spins of compact objects born from helium stars in binary systems
• Binary population synthesis with probabilistic remnant mass and kick prescriptions
• The implications of high BH spins on the origin of BH-BH mergers
• The Uncertain Future of Massive Binaries Obscures the Origin of LIGO/Virgo Sources
• Coalescing black hole binaries from globular clusters: mass distributions and comparison to gravitational wave data from GWTC-3
• A Parameter-Free Tour of the Binary Black Hole Population
• Speaking with one voice: simulations and observations discuss the common envelope $\alpha$ parameter
• Understanding the high-mass binary black hole population from stable mass transfer and super-Eddington accretion in BPASS
• Suspicious Siblings: The Distribution of Mass and Spin Across Component Black Holes in Isolated Binary Evolution
• The Formation of Cataclysmic Variables with Brown Dwarf Secondaries
• Resolving the Stellar-Collapse and Hierarchical-Merger origins of the Coalescing Black Holes
• Non-parametric inference of the population of compact binaries from gravitational wave observations using binned Gaussian processes
• A two-stage formalism for common-envelope phases of massive stars
• Deep learning and Bayesian inference of gravitational-wave populations: Hierarchical black-hole mergers
• The role of supernova convection for the lower mass gap in the isolated binary formation of gravitational wave sources
• VAMANA: Modeling Binary Black Hole Population with Minimal Assumptions
• Gravitational wave population inference with deep flow-based generative network
• What You Don't Know Can Hurt You: Use and Abuse of Astrophysical Models in Gravitational-wave Population Analyses
• Evidence for the evolution of black hole mass function with redshift
• Constraining accretion efficiency in massive binary stars with LIGO-Virgo black holes
• Globular cluster formation histories, masses and radii inferred from gravitational waves
• Constraints on the contributions to the observed binary black hole population from individual evolutionary pathways in isolated binary evolution
• Gravitational Waves as a Probe of Globular Cluster Formation and Evolution
• Which black hole is spinning? Probing the origin of black-hole spin with gravitational waves
• Applications of machine learning in gravitational wave research with current interferometric detectors
• Rapid determination of LISA sensitivity to extreme mass ratio inspirals with machine learning
• Exploring the Parameter Space of Compact Binary Population Synthesis
• Surrogate forward models for population inference on compact binary mergers
• Testing the robustness of simulation-based gravitational-wave population inference
• A neural network emulator of the Advanced LIGO and Advanced Virgo selection function
• Rotational mixing in close binaries
• Gravitational wave inference of star cluster properties from intermediate-mass black hole mergers
• Single-event likelihood of star cluster properties with LIGO-Virgo-Kagra binary black hole observations

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