Comparing Short Gamma-Ray Burst Jet Structure Models

Abstract

A structured gamma-ray burst jet could explain the dimness of the prompt emission observed from GRB$170817$A but the exact form of this structure is still ambiguous. However, with the promise of future joint gravitational wave and gamma-ray burst observations, we shall be able to examine populations of binary neutron star mergers rather than a case-by-case basis. We present an analysis that considers gravitational wave triggered binary neutron star events both with and without short gamma-ray burst counterparts assuming that events without a counterpart were observed off-axis. This allows for Bayes factors to be calculated to compare different jet structure models. We perform model comparison between a Gaussian and power-law apparent jet structure on simulated data to demonstrate that the correct model can be distinguished with a log Bayes factor of $>5$ after less than 100 events. Constraints on the apparent structure jet model parameters are also made. After 25(100) events the angular width of the core of a power-law jet structure can be constrained within a $90\%$ credible interval of width $\sim 9.1(4.4{)}^{\circ }$, and the outer beaming angle to be within $\sim 19.9(8.5{)}^{\circ }$. Similarly we show the width of a Gaussian jet structure to be constrained to $\sim 2.8(1.6{)}^{\circ }$.

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• Perspectives for multi-messenger astronomy with the next generation of gravitational-wave detectors and high-energy satellites
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