LIGO Document T2000124-v7

Technical note on the measurement of inspiral higher order modes on GW190814 by coherentWaveBurst

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T - Technical notes
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The detection and waveform reconstruction of gravitational wave transients on LIGO-Virgo data is pursued by a variety of methods, either exploiting detailed signal models or using minimal assumptions on the signal morphology [1]. The coherentWaveBurst (cWB) pipeline [2] provides well established methods both for the detection and for the reconstruction of transient signals. It implements a waveform-agnostic search for a coherent response in the network of detectors in the time-frequency domain by exploiting the Wilson-Daubechies-Meyer (WDM) wavelet transform [3]. Here we present a recently developed analysis procedure based on cWB, targeting the detection of spectral features beyond the quadrupolar emission in the inspiral phase of compact binary coalescences. This method has been used in the GW190814 discovery paper [4] and is an evolution of the methods already described in [5]. The analysis is based on a comparison between the waveform-agnostic reconstruction of the signal provided by cWB and the estimates based on detailed waveform models [6, 7]. The search targets subleading harmonics of the main quadrupolar emission and is performed within suitable slices of the time-frequency representation of the event. These time-frequency slices cover possible chirping-like undertones or overtones in the inspiral phase and their shapes are determined by a mild optimization of the Receiver Operating Characteristic (ROC), see e.g. [8]. The GW190814 results presented in [4] are here discussed more in depth, providing supplementary material both on the detection of them = 3 mode and on the searches for other subdominant modes, which have been performed over a wide range of possiblechirping undertones and overtones.

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