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Investigating intrinsic alignments (IAs) of galaxy shapes is important notonly to constrain cosmological parameters unbiasedly from gravitational lensingbut also to extract cosmological information complimentary to galaxy clusteringanalysis. We derive simple and useful formulas for the various IA statistics,including the intrinsic ellipticity--ellipticity correlation, the gravitationalshear--intrinsic ellipticity correlation, and the velocity-intrinsicellipticity correlation functions. The angular dependence of each statistic isexplicitly given, namely the angle between the line-of-sight direction and theseparation vector of two points. It thus allows us to analyze anisotropies ofbaryon acoustic oscillations encoded in the IA statistics, and we can extractthe maximum cosmological information using the Alcock-Pacyznski andredshift-space distortion effects. We also provide these formulas for theintrinsic ellipticities decomposed into E and B modes.

Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model