Higher order gravitational-wave modes with likelihood reweighting

Abstract

The gravitational waveform of a merging stellar-mass binary is described at leading order by a quadrupolar mode. However, the complete waveform includes higher-order modes, which encode valuable information not accessible from the leading-order mode alone. Despite this, the majority of astrophysical inferences so far obtained with observations of gravitational waves employ only the leading order mode because calculations with higher-order modes are often computationally challenging. We show how to efficiently incorporate higher-order modes into astrophysical inference calculations with a two step procedure. First, we carry out Bayesian parameter estimation using a computationally cheap leading-order-mode waveform, which provides an initial estimate of binary parameters. Second, we weight the initial estimate using higher-order mode waveforms in order to fold in the extra information from the full waveform. We use mock data to demonstrate the effectiveness of this method. We apply the method to each binary black hole event in the first gravitational-wave transient catalog GWTC-1 to obtain posterior distributions and Bayesian evidence with higher-order modes. Performing Bayesian model selection on the events in GWTC-1, we find only a weak preference for waveforms with higher order modes. We discuss how this method can be generalized to a variety of other applications.

arXiv comment13 pages, 13 figures

References in corpus (39)

• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Advanced LIGO
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Tests of general relativity with GW150914
• Properties of the binary neutron star merger GW170817
• A gravitational-wave standard siren measurement of the Hubble constant
• SparsePak: A Formatted Fiber Field Unit for The WIYN Telescope Bench Spectrograph. I. Design, Construction, and Calibration
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• A simple model of complete precessing black-hole-binary gravitational waveforms
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• Are merging black holes born from stellar collapse or previous mergers?
• Data analysis recipes: Using Markov Chain Monte Carlo
• Distinguishing Spin-Aligned and Isotropic Black Hole Populations With Gravitational Waves
• PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
• Surrogate model of hybridized numerical relativity binary black hole waveforms
• First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• Detecting gravitational-wave memory with LIGO: implications of GW150914
• A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
• Frequency domain reduced order models for gravitational waves from aligned-spin compact binaries
• Hierarchical analysis of gravitational-wave measurements of binary black hole spin-orbit misalignments
• Where are LIGO's Big Black Holes?
• Determining the population properties of spinning black holes
• Reconstructing phenomenological distributions of compact binaries via gravitational wave observations
• Fast and Accurate Inference on Gravitational Waves from Precessing Compact Binaries
• Use of gravitational waves to probe the formation channels of compact binaries
• Measuring eccentricity in binary black hole inspirals with gravitational waves
• A novel scheme for rapid parallel parameter estimation of gravitational waves from compact binary coalescences
• Parallelized Inference for Gravitational-Wave Astronomy
• On the properties of the massive binary black hole merger GW170729
• Impact of gravitational radiation higher order modes on single aligned-spin gravitational wave searches for binary black holes
• Gravitational wave parameter estimation with compressed likelihood evaluations
• Effects of nonquadrupole modes in the detection and parameter estimation of black hole binaries with nonprecessing spins
• Accelerating parameter inference with graphics processing units
• Constraining the parameters of GW150914 & GW170104 with numerical relativity surrogates

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• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Bayesian inference for compact binary coalescences with BILBY: Validation and application to the first LIGO--Virgo gravitational-wave transient catalogue
• GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
• Massively parallel Bayesian inference for transient gravitational-wave astronomy
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