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

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