Accurate Analytic Mass-Scale Relations for Dark Matter Haloes of all Masses and Redshifts

Abstract

CUSP is a powerful formalism that recovers, from first principles and with no free parameter, all the macroscopic properties of dark matter haloes found in cosmological N-body simulations and unveils the origin of their characteristic features. Since it is not restricted by the limitations of simulations, it covers the whole mass and redshift ranges. In the present Paper we use CUSP to calculate the mass-scale relations holding for halo density profiles fitted to the usual NFW and Einasto functions in the most relevant cosmologies and for the most usual mass definitions. We clarify the origin of these relations and provide accurate analytic expressions holding for all masses and redshifts. The performance of those expressions is compared to that of previous models and to the mass-concentration relation spanning more than 20 orders of magnitude in mass at $z=0$ obtained in recent simulations of a 100 GeV WIMP universe.

16 pages, 14 figures, accepted for publication in MNRAS

References in corpus (16)

• Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results
• The redshift dependence of the structure of massive LCDM halos
• A universal model for halo concentrations
• The pseudo-evolution of halo mass
• Environmental Dependence of Dark Matter Halo Growth I: Halo Merger Rates
• The virialized mass of dark matter haloes
• Hierarchical Formation of Dark Matter Halos and the Free Streaming Scale
• Coming of Age in the Dark Sector: How Dark Matter Haloes grow their Gravitational Potential Wells
• Caught in the cosmic web: Environmental effect on halo concentrations, shape, and spin
• Secondary infall and dark matter haloes
• The nature of dark matter and the density profile and central behavior of relaxed halos
• An Accurate Comprehensive Approach to Substructure: I. Accreted Subhaloes
• Culminating the peak CUSP to descry the dark side of halos
• Mock halo catalogs: assigning unresolved halo properties using correlations with local halo environment
• An Accurate Comprehensive Approach to Substructure: II. Stripped Subhaloes
• An Accurate Comprehensive Approach to Substructure: III. Masses and Formation Times of the Host Haloes

Cited by in corpus (1)

• An Accurate Comprehensive Approach to Substructure: IV. Dynamical Friction