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#### Reanalysis of the binary neutron star merger GW170817 using numerical-relativity calibrated waveform models

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##### Citation

Narikawa, T., Uchikata, N., Kawaguchi, K., Kiuchi, K., Kyutoku, K., Shibata, M., et al. (2020).
Reanalysis of the binary neutron star merger GW170817 using numerical-relativity calibrated waveform models.*
Physical Review Research,* *2*(4): 043039. doi:10.1103/PhysRevResearch.2.043039.

Cite as: https://hdl.handle.net/21.11116/0000-0004-EE76-C

##### Abstract

We reanalyze gravitational waves from a binary-neutron-star merger GW170817

using a numerical-relativity (NR) calibrated waveform model, the

TF2+_KyotoTidal model. By imposing a uniform prior on the binary tidal

deformability $\tilde{\Lambda}$ the symmetric $90\%$ credible interval of

$\tilde{\Lambda}$ is estimated to be $481^{+436}_{-359}$ ($402^{+465}_{-279}$)

for the case of $f_\mathrm{max}=1000~\mathrm{Hz}$ ($2048~\mathrm{Hz}$), where

$f_\mathrm{max}$ is the maximum frequency in the analysis. We also reanalyze

the event with other waveform models: two post-Newtonian waveform models

(TF2$\_$PNTidal and TF2+$\_$PNTidal), the TF2+$\_$NRTidal model that is another

NR calibrated waveform model used in the LIGO-Virgo analysis, and its upgrade,

the TF2+$\_$NRTidalv2 model. While estimates of parameters other than

$\tilde{\Lambda}$ are broadly consistent among different waveform models, our

results indicate that there is a difference in estimates of $\tilde{\Lambda}$

among three NR calibrated waveform models. The difference in the peak values of

posterior probability density functions of $\tilde{\Lambda}$ between the NR

calibrated waveform models: the TF2+$\_$KyotoTidal and TF2+$\_$NRTidalv2 models

for $f_\mathrm{max}=1000~\mathrm{Hz}$ is about 40 and is much smaller than the

width of $90\%$ credible interval, which is about 700. The systematic error for

the NR calibrated waveform models will be significant to measure

$\tilde{\Lambda}$ in the case of GW170817-like signal for the planned third

generation detectors's sensitivities.

using a numerical-relativity (NR) calibrated waveform model, the

TF2+_KyotoTidal model. By imposing a uniform prior on the binary tidal

deformability $\tilde{\Lambda}$ the symmetric $90\%$ credible interval of

$\tilde{\Lambda}$ is estimated to be $481^{+436}_{-359}$ ($402^{+465}_{-279}$)

for the case of $f_\mathrm{max}=1000~\mathrm{Hz}$ ($2048~\mathrm{Hz}$), where

$f_\mathrm{max}$ is the maximum frequency in the analysis. We also reanalyze

the event with other waveform models: two post-Newtonian waveform models

(TF2$\_$PNTidal and TF2+$\_$PNTidal), the TF2+$\_$NRTidal model that is another

NR calibrated waveform model used in the LIGO-Virgo analysis, and its upgrade,

the TF2+$\_$NRTidalv2 model. While estimates of parameters other than

$\tilde{\Lambda}$ are broadly consistent among different waveform models, our

results indicate that there is a difference in estimates of $\tilde{\Lambda}$

among three NR calibrated waveform models. The difference in the peak values of

posterior probability density functions of $\tilde{\Lambda}$ between the NR

calibrated waveform models: the TF2+$\_$KyotoTidal and TF2+$\_$NRTidalv2 models

for $f_\mathrm{max}=1000~\mathrm{Hz}$ is about 40 and is much smaller than the

width of $90\%$ credible interval, which is about 700. The systematic error for

the NR calibrated waveform models will be significant to measure

$\tilde{\Lambda}$ in the case of GW170817-like signal for the planned third

generation detectors's sensitivities.