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The wave strain (Equation presented) commonly used in continuous-wave searches can be related to (Equation presented) by (Equation presented), and for this search (Equation presented).
The radiometer limits apply to a circularly polarized signal originating from the Sco X-1 sky position, and constrain the root-mean-square strain in each 0.25 Hz frequency bin, while the sideband search sets limits on the gravitational-wave strain tensor amplitude (Equation presented) of a signal emitted by the neutron star in the Sco X-1 binary system.
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The (Equation presented) function rounds up to the nearest integer.
The frequency (Equation presented) is the central frequency of the search sub-band. Although the pipeline is designed for a wide-band search, the total band should be broken up into sub-bands narrow enough that the number of sidebands in the template, (Equation presented), does not change significantly from the lower to the upper edge of the sub-band.
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For a mass quadrupole (Equation presented), while for a current quadrupole (Equation presented).
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Note that there is no thresholding applied to the (Equation presented)-statistic.
The (Equation presented)-statistic is a (Equation presented) distributed variable with (Equation presented) degrees of freedom because it is the sum over (Equation presented) sidebands of the (Equation presented)-statistic, which is in turn (Equation presented) distributed with 4 degrees of freedom.
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The automated and manual veto stages were tested extensively on software injected signals and simulated Gaussian noise to ensure signals were not discounted accidentally.
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