New approach to template banks of gravitational waves with higher harmonics: Reducing matched-filtering cost by over an order of magnitude

Abstract

Searches for gravitational wave events use models, or templates, for the signals of interest. The templates used in current searches in the LIGO-Virgo-Kagra (LVK) data model the dominant quadrupole mode $(\ell ,|m|)=(2,2)$ of the signals, and omit sub-dominant higher-order modes (HM) such as $(\ell ,|m|)=(3,3)$, $(4,4)$, which are predicted by general relativity. This omission reduces search sensitivity to black hole mergers in interesting parts of parameter space, such as systems with high masses and asymmetric mass-ratios. We develop a new strategy to include HM in template banks: instead of making templates containing a combination of different modes, we separately store normalized templates corresponding to $(2,2)$, $(3,3)$ and $(4,4)$ modes. To model aligned-spin $(3,3)$, $(4,4)$ waveforms corresponding to a given $(2,2)$ waveform, we use a combination of post-Newtonian formulae and machine learning tools. In the matched filtering stage, one can filter each mode separately with the data and collect the timeseries of signal-to-noise ratios (SNR). This leads to a HM template bank whose matched-filtering cost is just $\approx 3\times$ that of a quadrupole-only search (as opposed to $\approx 100\times$ in previously proposed HM search methods). Our method is effectual and generally applicable for template banks constructed with either stochastic or geometric placement techniques. New GW candidate events that we detect using our HM banks and details for combining the different SNR mode timeseries are presented in accompanying papers: Wadekar et al. [1] and [2] respectively. Additionally, we discuss non-linear compression of $(2,2)$-only geometric-placement template banks using machine learning algorithms.

arXiv comment12+2 pages, 8+1 figures. The code for generating our template banks and reproducing the plots in our paper is publicly available at https://github.com/JayWadekar/gwIAS-HM

References in corpus (38)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• 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
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• The PyCBC search for gravitational waves from compact binary coalescence
• Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement
• New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
• Networks of gravitational wave detectors and three figures of merit
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• 2-OGC: Open Gravitational-wave Catalog of binary mergers from analysis of public Advanced LIGO and Virgo data
• 4-OGC: Catalog of gravitational waves from compact-binary mergers
• Observation of Gravitational Waves from the Coalescence of a $2.5\text{-}4.5M_{\odot }$ Compact Object and a Neutron Star
• A New Search Pipeline for Compact Binary Mergers: Results for Binary Black Holes in the First Observing Run of Advanced LIGO
• New binary black hole mergers in the LIGO--Virgo O3a data
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Detecting binary neutron star systems with spin in advanced gravitational-wave detectors
• Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
• Impact of Higher Harmonics in Searching for Gravitational Waves from Non-Spinning Binary Black Holes
• An effectual template bank for the detection of gravitational waves from inspiralling compact binaries with generic spins
• Impact of gravitational radiation higher order modes on single aligned-spin gravitational wave searches for binary black holes
• Detectability of gravitational waves from binary black holes: Impact of precession and higher modes
• Searching for the full symphony of black hole binary mergers
• Measuring gravitational-wave higher-order modes
• Fewer Mocks and Less Noise: Reducing the Dimensionality of Cosmological Observables with Subspace Projections
• MLGWSC-1: The first Machine Learning Gravitational-Wave Search Mock Data Challenge
• Impact of Higher-order Modes on the Detection of Binary Black Hole Coalescences
• The Image of the M87 Black Hole Reconstructed with PRIMO
• Template Bank for Compact Binary Coalescence Searches in Gravitational Wave Data: A General Geometric Placement Algorithm
• Sensitivity of gravitational wave searches to the full signal of intermediate mass black hole binaries during the LIGO O1 Science Run
• Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes
• First gravitational-wave search for intermediate-mass black hole mergers with higher order harmonics
• Template bank for compact binary mergers in the fourth observing run of Advanced LIGO, Advanced Virgo, and KAGRA
• Classification and redshift estimation by principal component analysis
• Template Mode Hierarchies for Binary Black Hole Mergers
• New search pipeline for gravitational waves with higher-order modes using mode-by-mode filtering
• Impact of higher harmonics of gravitational radiation on the population inference of binary black holes

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