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Coherent wide parameter-space searches for continuous gravitational waves aretypically limited in sensitivity by their prohibitive computing cost. Thereforesemi-coherent methods (such as StackSlide) can often achieve a bettersensitivity. We develop an analytical method for finding optimal StackSlideparameters at fixed computing cost under ideal conditions of gapless data withGaussian stationary noise. This solution separates two regimes: an unboundedregime, where it is always optimal to use all the data, and a bounded regimewith a finite optimal observation time. Our analysis of the sensitivity scalingreveals that both the fine- and coarse-grid mismatches contribute equally tothe average StackSlide mismatch, an effect that had been overlooked in previousstudies. We discuss various practical examples for the application of thisoptimization framework, illustrating the potential gains in sensitivitycompared to previous searches.

Search for Continuous Gravitational Waves: Optimal StackSlide method at fixed computing cost