The multi-detector F-statistic metric for short-duration non-precessing inspiral gravitational-wave signals

TL;DR

This paper derives explicit formulas for the multi-detector F-statistic metric to improve template bank placement in coherent gravitational-wave searches for short-duration non-precessing inspiral signals, ensuring accurate detection efficiency.

Contribution

It provides the first explicit expressions for the multi-detector F-statistic metric tailored for short-duration non-precessing inspiral signals, enhancing search accuracy.

Findings

The metric accurately predicts detection loss above 95% overlap.

Neglecting detector response variations impacts the metric's accuracy.

The derived metric improves template bank efficiency for gravitational-wave searches.

Abstract

We derive explicit expressions for the multi-detector F-statistic metric applied to short-duration non-precessing inspiral signals. This is required for template bank production associated with coherent searches for short-duration non-precessing inspiral signals in gravitational-wave data from a network of detectors. We compare the metric's performance with explicit overlap calculations for all relevant dimensions of parameter space and find the metric accurately predicts the loss of detection statistic above overlaps of 95%. We also show the effect that neglecting the variations of the detector response functions has on the metric.