Anisotropic Halo Model

Abstract

In the present work, we extend the classic halo model for the large-scale matter distribution including a triaxial model for the halo profiles and their alignments. In particular, we derive general expressions for the halo-matter cross correlation function. In addition, by numerical integration, we obtain instances of the cross-correlation function depending on the directions given by halo shape axes. These functions are called anisotropic cross-correlations. With the aim of comparing our theoretical results with the simulations, we compute averaged anisotropic correlations in cones with their symmetry axis along each shape direction of the centre halo. From these comparisons we characterise and quantify the alignment of dark matter haloes on the $\Lambda$CDM context by means of the presented anisotropic halo model. As our model requires multidimensional integral computation we implement a Monte Carlo method on GPU hardware which allows us to increase the precision of the results whereas it improves the performance of the computation.

10 pages, 5 figures. Accepted for publication in MNRAS

References in corpus (12)

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Cited by in corpus (7)

• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Correlations between Triaxial Shapes and Formation History of Dark Matter Haloes
• Taking advantage of photometric galaxy catalogues to determine the halo occupation distribution
• Possible features of galactic halo with electric field and observational constraints
• Differentiable Predictions for Large Scale Structure with SHAMNet
• The Global Environment of Small Galaxy Systems
• Distribution functions for a family of general-relativistic Hypervirial models in collisionless regime