Abstract

We find that the Hanford and Livingston detectors of Advanced LIGO derive a distinct posterior probability distribution of binary tidal deformability tilde{Lambda} of the first binary-neutron-star merger GW170817. By analyzing public data of GW170817 with a nested-sampling engine and the default TaylorF2 waveform provided by the LALInference package, the probability distribution of the binary tidal deformability derived by the LIGO-Virgo detector network turns out to be determined dominantly by the Hanford detector. Specifically, by imposing the flat prior on tidal deformability of individual stars, symmetric 90% credible intervals of tilde{Lambda} are estimated to be 527^{+619}_{-345} with the Hanford detector, 927^{+522}_{-619} with the Livingston detector, and 455^{+668}_{-281} with the LIGO-Virgo detector network. Furthermore, the distribution derived by the Livingston detector changes irregularly when we vary the maximum frequency of the data used in the analysis. This feature is not observed for the Hanford detector. While they are all consistent, the discrepancy and irregular behavior suggest that an in-depth study of noise properties might improve our understanding of GW170817 and future events.

Highlights

  • Tidal deformability of neutron stars can be a key quantity to understand the hitherto-unknown nature of supranuclear density matter

  • We find that the Hanford and Livingston detectors of Advanced LIGO derive a distinct posterior probability distribution of binary tidal deformabilityof the first binary-neutron-star merger GW170817

  • Our analysis suggests that the noise in the high-frequency region of the Livingston data somehow corrupted information about the tidal deformability of GW170817

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Summary

INTRODUCTION

Tidal deformability of neutron stars can be a key quantity to understand the hitherto-unknown nature of supranuclear density matter (see Ref. [1] for reviews). [18] for an update), and this is further restricted to 190−+132900 if a common equation of state is assumed [19] All these inferences are made by combining the output of Advanced LIGO twin detectors, i.e., the Hanford and Livingston detectors (and Advanced Virgo). We present our independent analysis of GW170817 to show that the Advanced LIGO twin detectors derive a distinct posterior probability distribution of (and only for this quantity; see the Appendix). The distribution derived by the Livingston detector does not behave smoothly with respect to the variation of the maximum frequency of the data used for parameter estimation. The discrepancy between the twin detectors presages a challenge for determining tidal deformability accurately in future detections

PARAMETER ESTIMATION
POSTERIOR OF TIDAL DEFORMABILITY
DISCUSSION

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