Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics

Abstract

For the first time, we construct an inspiral-merger-ringdown waveform model within the effective-one-body formalism for spinning, nonprecessing binary black holes that includes gravitational modes beyond the dominant $(\ell ,|m|)=(2,2)$ mode, specifically $(\ell ,|m|)=(2,1),(3,3),(4,4),(5,5)$. Our multipolar waveform model incorporates recent (resummed) post-Newtonian results for the inspiral and information from 157 numerical-relativity simulations, and 13 waveforms from black-hole perturbation theory for the (plunge-)merger and ringdown. We quantify the improved accuracy including higher-order modes by computing the faithfulness of the waveform model against the numerical-relativity waveforms used to construct the model. We define the faithfulness as the match maximized over time, phase of arrival, gravitational-wave polarization and sky position of the waveform model, and averaged over binary orientation, gravitational-wave polarization and sky position of the numerical-relativity waveform. When the waveform model contains only the $(2,2)$ mode, we find that the averaged faithfulness to numerical-relativity waveforms containing all modes with $\ell \le$ 5 ranges from $90\%$ to $99.9\%$ for binaries with total mass $20-200M_{\odot }$ (using the Advanced LIGO's design noise curve). By contrast, when the $(2,1),(3,3),(4,4),(5,5)$ modes are also included in the model, the faithfulness improves to $99\%$ for all but four configurations in the numerical-relativity catalog, for which the faithfulness is greater than $98.5\%$. Using our results, we also develop also a (stand-alone) waveform model for the merger-ringdown signal, calibrated to numerical-relativity waveforms, which can be used to measure multiple quasi-normal modes. The multipolar waveform model can be extended to include spin-precession, and will be employed in upcoming observing runs of Advanced LIGO and Virgo.

28 pages. Version that matches published article

References in corpus (29)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Calibration of Moving Puncture Simulations
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• An improved analytical description of inspiralling and coalescing black-hole binaries
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Implementing a search for aligned-spin neutron star -- black hole systems with advanced ground based gravitational wave detectors
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Testing the no-hair theorem with black hole ringdowns using TIGER
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Search for Gravitational Waves from Binary Black Hole Inspiral, Merger and Ringdown in LIGO-Virgo Data from 2009-2010
• Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
• Improved methods for simulating nearly extremal binary black holes
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• A new analytic representation of the ringdown waveform of coalescing spinning black hole binaries
• Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order
• Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II: the higher multipolar modes
• Accurate inspiral-merger-ringdown gravitational waveforms for non-spinning black-hole binaries including the effect of subdominant modes

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