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In this paper we use high-resolution cosmological simulations to study halointrinsic alignment and its dependence on mass, formation time and large-scaleenvironment. In agreement with previous studies using N-body simulations, it isfound that massive halos have stronger alignment. For given mass, older haloshave stronger alignment than younger ones. By identifying the cosmicenvironment of halo using Hessian matrix, we find that for given mass, halos incluster regions also have stronger alignment than those in filament. Theexisting theory has not addressed these dependencies explicitly. In this workwe extend the linear alignment model with inclusion of halo bias and find thatthe halo alignment with its mass and formation time dependence can be explainedby halo bias. However, the model can not account for the environmentdependence, as it is found that halo bias is lower in cluster and higher infilament. Our results suggest that halo bias and environment are independentfactors in determining halo alignment. We also study the halo alignmentcorrelation function and find that halos are strongly clustered along theirmajor axes and less clustered along the minor axes. The correlated haloalignment can extend to scale as large as $100h^{-1}$Mpc where its feature ismainly driven by the baryon acoustic oscillation effect.

Halo intrinsic alignment: dependence on mass, formation time and environment