Correlation analysis for isotropic stochastic gravitational wave backgrounds with maximally allowed polarization degrees

TL;DR

This paper analyzes the correlation of stochastic gravitational wave backgrounds with maximal polarization degrees, deriving the overlap reduction functions for various polarization modes and emphasizing the importance of network configuration.

Contribution

It derives the overlap reduction function for chiral asymmetric vector modes and analyzes the geometrical properties of all five polarization spectra.

Findings

Correlation analysis can probe five spectra of gravitational wave backgrounds.

Derived the overlap reduction function for vector mode chiral asymmetry.

Highlighted the significance of reflection transformations in detector network design.

Abstract

We study correlation analysis for monopole components of stochastic gravitational wave backgrounds, including the maximally allowed polarization degrees. We show that, for typical detector networks, the correlation analysis can probe virtually five spectra: three for the intensities of the tensor, vector, and scalar modes and two for the chiral asymmetries of the tensor and vector modes. The chiral asymmetric signal for the vector modes has been left untouched so far. In this paper, we derive the overlap reduction function for this signal and thus complete the basic ingredients required for widely dealing with polarization degrees. We comprehensively analyze the geometrical properties of all the five overlap reduction functions. In particular, we point out the importance of reflection transformations for configuring preferable networks in the future.