Spherical harmonic analysis of anisotropies in polarized stochastic gravitational wave background with interferometry experimentsY.-K. Chu, G.-C. Liu, and K.-W. Ng 2021 Phys. Rev. D 103 063528
We study the interferometric observation of intensity and polarization anisotropies of a stochastic
gravitational wave background.We show that the observed correlated data is defined in the group manifold
of the three-dimensional rotation. Explicit correlation between two detectors in the interferometry
experiments such as LIGO-Virgo and KAGRA is constructed in terms of the Wigner-D functions. Our
results may provide a tool for constructing data pipelines to estimate the power spectra of the stochastic
gravitational wave background anisotropies.