Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM

Abstract

Gravitational waves from compact binary coalescence sources can be decomposed into spherical-harmonic multipoles, the dominant being the quadrupole ($\ell =2,m=\pm 2$) modes. The contribution of sub-dominant modes towards total signal power increases with increasing binary mass ratio and source inclination to the detector. It is well-known that in these cases neglecting higher modes could lead to measurement biases, but these have not yet been quantified with a higher-mode model that includes spin effects. In this study, we use the multi-mode aligned-spin phenomenological waveform model IMRPhenomHM to investigate the effects of including multi-mode content in estimating source parameters and contrast the results with using a quadrupole-only model (IMRPhenomD). We use as sources IMRPhenomHM and hybrid EOB-NR waveforms over a range of mass-ratio and inclination combinations, and recover the parameters with IMRPhenomHM and IMRPhenomD. These allow us to quantify the accuracy of parameter measurements using a multi-mode model, the biases incurred when using a quadrupole-only model to recover full (multi-mode) signals, and the systematic errors in the IMRPhenomHM model. We see that the parameters recovered by multi-mode templates are more precise for all non-zero inclinations as compared to quadrupole templates. For multi-mode injections, IMRPhenomD recovers biased parameters for non-zero inclinations with lower likelihood while IMRPhenomHM recovered parameters are accurate for most cases, and if a bias exists, it can be explained as a combined effect of observational priors and (in the case of hybrid-NR signals) waveform inaccuracies. For cases where IMRPhenomHM recovers biased parameters, the bias is always smaller than the corresponding IMRPhenomD recovery, and we conclude that IMRPhenomHM will be sufficiently accurate to allow unbiased measurements for most GW observations.

14 pages, 7 figures

References in corpus (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• BayesWave: Bayesian Inference for Gravitational Wave Bursts and Instrument Glitches
• The LIGO Open Science Center
• BayesLine: Bayesian Inference for Spectral Estimation of Gravitational Wave Detector Noise
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
• Binary black hole spectroscopy
• Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
• Sensitivity of gravitational wave searches to the full signal of intermediate mass black hole binaries during the LIGO O1 Science Run
• Accurate inspiral-merger-ringdown gravitational waveforms for non-spinning black-hole binaries including the effect of subdominant modes
• Numerical Relativity Injection Infrastructure
• Including mode mixing in a higher-multipole model for gravitational waveforms from nonspinning black-hole binaries
• Comparison of subdominant gravitational wave harmonics between post-Newtonian and numerical relativity calculations and construction of multi-mode hybrids

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• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
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