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Ben Farr edited summary.tex
almost 9 years ago
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In this study we investigated the
effect effects of
including accounting for spin when
considering PE for estimating the parameters of BNS
binaries sources with aLIGO. We expect
neutron stars NSs to be only slowly spinning, and hence that their spins only have a small effect of the GW signature of a BNS merger. However,
introducing the component accounting for spins
into PE has \emph{does} have a significant
effect. effect on parameter constraints. First, this requires the use of more computationally expensive waveforms (that include more
physics) and so physics), increasing the latency of
PE is increased. analyses. Second,
strong degeneracies are present in the
correlation of spin with other parameters affects model; not only are the
recovered PDFs. spins themselves poorly constrained, these degeneracies result in weaker constraints on other parameters, particularly masses.
The spins themselves are poorly constrained. There It is
a large uncertainty in most cases important to note that these weaker constraints are the result of accounting for our prior assumptions on NS spins. We tested various choices for conservative prior assumptions about NS spins and found them to have little effect on mass estimates. Only very strong prior assumptions, such as
indicated by some numbers. say $\chi_{1,~2}\leq .05$ (consistent with the simulated population, and NSs found in binaries to date) are likely to significantly affect mass constraints. Such prior assumptions will be hard to justify, however, based on the small number of observed systems and unknown selection effects.
The
mass--spin degeneracy means posterior PDFs that are broader for the chirp mass and the mass ratio when spin is included. These posterior PDFs better represent what we believe about the parameters describing the source systems and so a broader posterior must not be viewed as degraded PE performance, rather more realistic.\footnote{We have now reliably measured that the glass is $50\%$ full.} Including spins broadens the chirp-mass distribution by a factor of two \citep{Poisson_1995,Berry_2014}, but the chirp-mass still remains precisely measured, the median something is $42$.
The sky-location, which is central to performing EM follow-up, is not correlated with the spin; it is unaffected by the inclusion (or exclusion) of spin in
PE. parameter estimation. The luminosity distance is similarly unaffected for this population of slowly spinning
neutron stars. NSs. This means that the lower-latency results that could be supplied in time for EM observatories to search for a counter-part are already as good as we can hope to achieve with GW measurements.