Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing Short Gamma-Ray Burst Jet Structure Models   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 $ \sim9.1(4.4)^{\circ} $, and the outer
beaming angle to be within $\sim19.9(8.5)^{\circ}$. Similarly we show the width
of a Gaussian jet structure to be constrained to $\sim2.8(1.6)^{\circ}$.

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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin