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These plots show the maximum overlap between our aligned spin BNS bank and the
same set of simulations as above
The bank works for spin-aligned BNS systems!A small fraction of precessing systems are recovered with overlaps less than 0.97.
The extent of the third dimension is small enough to use standard 2D hexagonal placement! Templates here stacked a few deep in 3rd direction. This template bank contains 500,000 templates, six
times larger than the non-spinning template bank.
Fitting Factor (FF) = max(bank)
Using the 2020 Advanced LIGO noise curve, fitting factors were calculated between:
● The templates used in the standard non-spinning CBC search● SpinTaylorT4 precessing waveforms, uniformly distributed in
masses, sky location, orientation, and spin magnitudes up to 0.4 for both neutron stars.
aLIGO PSD – Spin Aligned BNS Injections
● Express in terms of chirp times, using GW phase to 3.5PN order with the leading order spin-orbit and spin-spin corrections.
● Calculate a metric using the chirp times as coordinates.● This results in an 8x8 metric that is globally flat.● Orthonormalize the coordinate system: Metric is Cartesian.● Rotate to the principal coordinates.● The dominant direction is related to the chirp mass.● The second direction combines eta with the dominant spin effect.● The least significant 5 directions are negligibly small.