A family of filters to search for frequency dependent gravitational wave stochastic backgrounds

TL;DR

This paper introduces a family of filters based on broken power law spectra to efficiently search for frequency-dependent gravitational wave stochastic backgrounds in interferometer data, demonstrating their effectiveness and manageable filter count.

Contribution

It presents a new set of filters tailored for frequency-dependent backgrounds, optimizing detection strategies for gravitational wave stochastic signals.

Findings

Filters achieve high fitting factors for various backgrounds.

Number of filters needed is relatively small.

Effective for first-generation interferometer data.

Abstract

We consider a three dimensional family of filters based on broken power law spectra to search for gravitational wave stochastic backgrounds in the data from Earth-based laser interferometers. We show that such templates produce the necessary fitting factor for a wide class of cosmological backgrounds and astrophysical foregrounds and that the total number of filters required to search for those signals in the data from first generation laser interferometers operating at the design sensitivity is fairly small