Fixing a Rigorous Formalism for the Accurate Analytic Derivation of Halo Properties

Abstract

We establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous formalism for the analytic derivation of halo properties from the linear power spectrum of density perturbations in any hierarchical cosmology. The typical spherically averaged density profile and mass function of haloes so obtained match those found in numerical simulations.

6 pages, 4 figures

References in corpus (2)

• Dark matter and cosmic structure
• The Halo Mass Function: High-Redshift Evolution and Universality

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• An Accurate Comprehensive Approach to Substructure: I. Accreted Subhaloes
• Cosmology with Galaxy Clusters: Systematic Effects in the Halo Mass Function
• An Accurate Comprehensive Approach to Substructure: III. Masses and Formation Times of the Host Haloes
• An Accurate Comprehensive Approach to Substructure: II. Stripped Subhaloes
• Accurate Analytic Mass-Scale Relations for Dark Matter Haloes of all Masses and Redshifts
• Approximate methods for the generation of dark matter halo catalogs in the age of precision cosmology