Phase consistency test to identify type II strongly lensed gravitational wave signals using a single event
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arXiv
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| Format: | Preprint |
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2024
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| author | Taylor, Kelsie Davis, Derek Lo, Rico K. L. |
| author_facet | Taylor, Kelsie Davis, Derek Lo, Rico K. L. |
| contents | For gravitationally lensed type II signals, the phase of the dominant (2, 2) mode and the higher order (3, 3) mode is offset by $-π/12$, 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 $-π/12$ 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, $\log_{10} \mathcal{B}_{Δφ= 0}$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15148 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase consistency test to identify type II strongly lensed gravitational wave signals using a single event Taylor, Kelsie Davis, Derek Lo, Rico K. L. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Instrumentation and Methods for Astrophysics For gravitationally lensed type II signals, the phase of the dominant (2, 2) mode and the higher order (3, 3) mode is offset by $-π/12$, 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 $-π/12$ 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, $\log_{10} \mathcal{B}_{Δφ= 0}$, 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. |
| title | Phase consistency test to identify type II strongly lensed gravitational wave signals using a single event |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2412.15148 |