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Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era

Afle, C., Gupta, A., Gadre, B., Kumar, P., Demos, N., Lovelace, G., et al. (2018). Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era. Physical Review D, 98(8): 083014. doi:10.1103/PhysRevD.98.083014.

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### Creators

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Creators:
Afle, Chaitanya, Author
Kumar, Prayush, Author
Demos, Nick, Author
Lovelace, Geoffrey, Author
Choi, Han Gil, Author
Lee, Hyung Mok, Author
Mitra, Sanjit, Author
Boyle, Michael, Author
Hemberger, Daniel A., Author
Kidder, Lawrence E., Author
Pfeiffer, Harald1, Author
Scheel, Mark A., Author
Szilagyi, Bela, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
Abstract: In this paper, we test the performance of templates in detection and characterization of Spin-orbit resonant (SOR) binaries. We use precessing SEOBNRv3 waveforms as well as {\it four} numerical relativity (NR) waveforms to model GWs from SOR binaries and filter them through IMRPhenomD, SEOBNRv4 (non-precessing) and IMRPhenomPv2 (precessing) approximants. We find that IMRPhenomD and SEOBNRv4 recover only $\sim70\%$ of injections with fitting factor (FF) higher than 0.97 (or 90\% of injections with ${\rm FF} >0.9$).However, using the sky-maxed statistic, IMRPhenomPv2 performs magnificently better than their non-precessing counterparts with recovering $99\%$ of the injections with FFs higher than 0.97. Interestingly, injections with $\Delta \phi = 180^{\circ}$ have higher FFs ($\Delta \phi$ is the angle between the components of the black hole spins in the plane orthogonal to the orbital angular momentum) as compared to their $\Delta \phi =0^{\circ}$ and generic counterparts. This implies that we will have a slight observation bias towards $\Delta \phi=180^{\circ}$ SORs while using non-precessing templates for searches. All template approximants are able to recover most of the injected NR waveforms with FFs $>0.95$. For all the injections including NR, the error in estimating chirp mass remains below $<10\%$ with minimum error for $\Delta \phi = 180^{\circ}$ resonant binaries. The symmetric mass ratio can be estimated with errors below $15\%$. The effective spin parameter $\chi_{\rm eff}$ is measured with maximum absolute error of 0.13. The in-plane spin parameter $\chi_p$ is mostly underestimated indicating that a precessing signal will be recovered as a relatively less precessing signal. Based on our findings, we conclude that we not only need improvements in waveform models towards precession and non-quadrupole modes but also better search strategies for precessing GW signals.

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Dates: 2018-03-202018
Publication Status: Published in print
Pages: 28 pages, 15 figures. Abstract shortened due to word limit
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Rev. Method: -
Identifiers: arXiv: 1803.07695
URI: http://arxiv.org/abs/1803.07695
DOI: 10.1103/PhysRevD.98.083014
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### Source 1

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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 98 (8) Sequence Number: 083014 Start / End Page: - Identifier: -