Mode-by-mode Relative Binning: Fast Likelihood Estimation for Gravitational Waveforms with Spin-Orbit Precession and Multiple Harmonics

Abstract

Faster likelihood evaluation enhances the efficiency of gravitational wave signal analysis. We present Mode-by-mode Relative Binning (MRB), a new method designed for obtaining fast and accurate likelihoods for advanced waveform models that include spin-orbit precession effects and multiple radiation harmonics from compact binary coalescence. Leveraging the "twisting-up" procedure of constructing precessing waveform modes from non-precessing ones, the new method mitigates degrade of relative binning accuracy due to interference from superimposed modes. Additionally, we supplement algorithms for optimizing the choice of frequency bins specific to any given strain signal under analysis. Using the new method, we are able to evaluate the likelihood with up to an order of magnitude reduction in the number of waveform model calls per frequency compared to the previously used relative binning scheme, and achieve better likelihood accuracy than is sufficient for obtaining source parameter posterior distributions that are indistinguishable from the exact ones.

arXiv comment15 pages, 5 figures, 1 table, 1 algorithm. Comments and feedback welcome!

References in corpus (38)

• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• A simple model of complete precessing black-hole-binary gravitational waveforms
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
• Surrogate models for precessing binary black hole simulations with unequal masses
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• A Highly Spinning and Aligned Binary Black Hole Merger in the Advanced LIGO First Observing Run
• 3-OGC: Catalog of gravitational waves from compact-binary mergers
• Including higher order multipoles in gravitational-wave models for precessing binary black holes
• A New Search Pipeline for Compact Binary Mergers: Results for Binary Black Holes in the First Observing Run of Advanced LIGO
• Fast and Accurate Inference on Gravitational Waves from Precessing Compact Binaries
• Frequency domain reduced order model of aligned-spin effective-one-body waveforms with generic mass-ratios and spins
• Tracking the precession of compact binaries from their gravitational-wave signal
• Accelerated gravitational-wave parameter estimation with reduced order modeling
• GW190521 may be an intermediate mass ratio inspiral
• Distribution of Effective Spins and Masses of Binary Black Holes from the LIGO and Virgo O1-O3a Observing Runs
• On the properties of the massive binary black hole merger GW170729
• The Missing Link: Bayesian Detection and Measurement of Intermediate-Mass Black-Hole Binaries
• Binary Black Hole Mergers from LIGO/Virgo O1 and O2: Population Inference Combining Confident and Marginal Events
• A generalized precession parameter ${\chi }_{\mathrm{p}}$ to interpret gravitational-wave data
• Extracting the Gravitational Recoil from Black Hole Merger Signals
• Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM
• Tracking black hole kicks from gravitational wave observations
• Rapid Parameter Estimation of Gravitational Waves from Binary Neutron Star Coalescence using Focused Reduced Order Quadrature
• Impact of subdominant modes on the interpretation of gravitational-wave signals from heavy binary black hole systems
• Bayesian inference for gravitational waves from binary neutron star mergers in third-generation observatories
• New effective precession spin for modeling multimodal gravitational waveforms in the strong-field regime
• Fast Parameter Estimation of Binary Mergers for Multimessenger Followup
• PyROQ: a Python-based Reduced Order Quadrature Building Code for Fast Gravitational Wave Inference

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