Measuring the primordial gravitational wave background in the presence of other stochastic signals

Abstract

Standard methodologies for the extraction of the stochastic gravitational wave background (SGWB) from auto- or cross-correlation of interferometric signals often involve the use of a filter function. The standard optimal filter maximizes the signal-to-noise ratio (SNR) between the total SGWB and the noise. We derive expressions for the optimal filter and SNR in the presence of a target SGWB plus other unwanted components. We also generalize the methodology to the case of template-free reconstruction. The formalism allows to easily perform analyses and forecasts that marginalize over foreground signals, such as the typical ${\Omega }_{\mathrm{GW}}\propto f^{2/3}$ background arising from binary coalescence. We demonstrate the methodology with the LISA mission and discuss possible extensions and domains of application.

23 pages, 8 figures. Accepted on JCAP

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• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Precision cosmology with primordial GW backgrounds in presence of astrophysical foregrounds
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• White dwarf binary modulation can help stochastic gravitational wave background search
• Distinguishing a stochastic gravitational-wave signal from correlated noise with joint parameter estimation: Fisher analysis for ground-based detectors
• Extracting overlapping gravitational-wave signals of galactic compact binaries: a mini review
• Antipodal Angular Correlations of Inflationary Stochastic Gravitational Wave Background