Template Lattices for a Cross-Correlation Search for Gravitational Waves from Scorpius X-1

Abstract

We describe the application of the lattice covering problem to the placement of templates in a search for continuous gravitational waves from the low-mass X-Ray binary Scorpius X-1. Efficient placement of templates to cover the parameter space at a given maximum mismatch is an application of the sphere covering problem, for which an implementation is available in the LatticeTiling software library. In the case of Sco X-1, potential correlations, in both the prior uncertainty and the mismatch metric, between the orbital period and orbital phase, lead to complications in the efficient construction of the lattice. We define a shearing coordinate transformation which simultaneously minimizes both of these sources of correlation, and allows us to take advantage of the small prior orbital period uncertainty. The resulting lattices have a factor of about 3 fewer templates than the corresponding parameter space grids constructed by the prior straightforward method, allowing a more sensitive search at the same computing cost and maximum mismatch.

21 pages, 8 figures

References in corpus (12)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• Detecting gravitational wave emission from the known accreting neutron stars
• Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces
• The cross-correlation search for periodic gravitational waves
• Directed searches for continuous gravitational waves from binary systems: parameter-space metrics and optimal Scorpius X-1 sensitivity
• Gravitational waves from Sco X-1: A comparison of search methods and prospects for detection with advanced detectors
• Search for Continuous Gravitational Waves from Scorpius X-1 in LIGO O2 Data
• Model-Based Cross-Correlation Search for Gravitational Waves from Scorpius X-1
• Lattice template placement for coherent all-sky searches for gravitational-wave pulsars
• Empirically estimating the distribution of the loudest candidate from a gravitational-wave search
• Template banks based on ${\mathbb{Z}}^n$ and $A_n^{\ast }$ lattices

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• Empirically estimating the distribution of the loudest candidate from a gravitational-wave search
• Search for Gravitational Waves from Scorpius X-1 in LIGO O3 Data With Corrected Orbital Ephemeris
• Implementation of a new weave-based search pipeline for continuous gravitational waves from known binary systems
• A directed continuous-wave search from Scorpius X-1 with the five-vector resampling technique
• How much spin wandering can continuous gravitational wave search algorithms handle?
• One-stop strategy to search for long-duration gravitational-wave signals
• Banks of templates for directed and all-sky narrow-band searches of continuous gravitational waves from spinning neutron stars with several spindowns