Data release for "Phase consistency test to identify type II strongly lensed gravitational-wave signals using a single event"

Abstract For gravitationally lensed type II signals, the phase of the dominant (2, 2) mode and the higher order (3, 3) mode is offset by $-\pi/12$, or roughly -0.26 radians. Using this, we develop a test for type II imagery by allowing the phases of the (2,2) and (3,3) modes to vary separately and introducing a new waveform parameter to represent the phase offset between the two. We use simulated, asymmetric mass ratio, precessing signals to show that the test can reproduce the $-\pi/12$ phase offset when detected by three detectors for H-L optimal SNR $\gtrsim$ 40 and $\mathcal{M} \leq 30$. We analyze GW190412 and GW190814 using this parameterization, measuring the offset to be $0.13^{+0.22}_{-0.17}$ for GW190412 and $-0.05^{+0.20}_{-0.22}$ for GW190814. We also measure the Bayes factor in support of zero phase offset, $\log_{10} \mathcal{B}_{\Delta \varphi = 0}$, to be $-0.14$ for GW190412 and $0.21$ for GW190814. This implies our results are not strong enough to confidently argue if either event is a type II image, and is consistent with our statistical analysis. Result files for GW190412 and GW190814 analysis The parameter estimation posterior samples for our analysis of GW190412 and GW190814 can be found in the following files: GW190412: 190412_run1_samples.dat GW190814: 190814_run1_samples.dat Note that these samples include the non-standard parameter `phase offset` ($\Delta \varphi$), which is defined as $ \Delta \varphi = \varphi_{33} - \varphi_{22}$, where $\varphi_{lm}$ is the phase of a given $_{−2}Y_{lm}$ spin-weighted spherical harmonic in the gravitational waveform. Details on how to read these files and to plot the phase offset posteriors can be found in the notebook plot_lensing_results.ipynb. Code for the frequency-domain-source-model with phase offset The bilby frequency-domain-source-model used in this work that includes a phase shift expected from Type II lensed images can be found on github at the following location: https://github.com/ricokaloklo/type-II-lm-phasing-consistency-test/tree/db1584fad2150ab075ee8d34e13c25e388b1d36c