Towards a universal model for the density profiles of dark matter haloes

Abstract

It is well established from cosmological simulations that dark matter haloes are not precisely self-similar and an additional parameter, beyond their concentration, is required to accurately describe their spherically-averaged mass density profiles. We present, for the first time, a model to consistently predict both halo concentration, $c$, and this additional `shape' parameter, $\alpha$, for a halo of given mass and redshift for a specified cosmology. Following recent studies, we recast the dependency on mass, redshift, and cosmology to a dependence on `peak height'. We show that, when adopting the standard definition of peak height, which employs the so-called spherical top hat (STH) window function, the concentration--peak height relation has a strong residual dependence on cosmology (i.e., it is not uniquely determined by peak height), whereas the $\alpha$--peak height relation is approximately universal when employing the STH window function. Given the freedom in the choice of window function, we explore a simple modification of the STH function, constraining its form so that it produces universal relations for concentration and $\alpha$ as a function of peak height using a large suite of cosmological simulations. It is found that universal relations for the two density profile parameters can indeed be derived and that these parameters are set by the linear power spectrum, $P(k)$, filtered on different scales. We show that the results of this work generalise to any (reasonable) combination of $P(k)$ and background expansion history, $H(z)$, resulting in accurate predictions of the density profiles of dark matter haloes for a wide range of cosmologies.

arXiv comment16 pages, 8 figures, accepted to MNRAS

References in corpus (43)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• The cosmological simulation code GADGET-2
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• Populating a cluster of galaxies - I. Results at z=0
• Profiles of dark haloes: evolution, scatter, and environment
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Toward a halo mass function for precision cosmology: the limits of universality
• The Inner Structure of LambdaCDM Halos I: A Numerical Convergence Study
• Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
• Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
• The Diversity and Similarity of Simulated Cold Dark Matter Halos
• The statistics of LCDM Halo Concentrations
• Halo concentrations in the standard LCDM cosmology
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• The redshift dependence of the structure of massive LCDM halos
• The BAHAMAS project: Calibrated hydrodynamical simulations for large-scale structure cosmology
• COLOSSUS: A python toolkit for cosmology, large-scale structure, and dark matter halos
• Accurate universal models for the mass accretion histories and concentrations of dark matter halos
• The Power Spectrum Dependence of Dark Matter Halo Concentrations
• Rotation-Dependent Catastrophic Disruption of Gravitational Aggregates
• Dependence of the outer density profiles of halos on their mass accretion rate
• An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
• The Canadian Cluster Comparison Project: detailed study of systematics and updated weak lensing masses
• A universal model for halo concentrations
• The Mass-Concentration-Redshift Relation of Cold and Warm Dark Matter Halos
• The Mass-Concentration-Redshift Relation of Cold Dark Matter Halos
• An accurate physical model for halo concentrations
• Dark Energy Survey Year 1 Results: Weak Lensing Mass Calibration of redMaPPer Galaxy Clusters
• Robust Weak-lensing Mass Calibration of Planck Galaxy Clusters
• The Mass Profile and Accretion History of Cold Dark Matter Halos
• The accretion history of dark matter halos I: The physical origin of the universal function
• The Dynamical State and Mass-Concentration Relation of Galaxy Clusters
• Numerical convergence of simulations of galaxy formation: the abundance and internal structure of cold dark matter haloes
• Universal at last? The splashback mass function of dark matter halos
• Secondary Infall and the Pseudo-Phase-Space Density Profiles of Cold Dark Matter Halos
• Einasto Profiles and the Dark Matter Power Spectrum
• How baryons can significantly bias cluster count cosmology
• Connecting the structure of dark matter haloes to the primordial power spectrum
• Illuminating Dark Matter Halo Density Profiles Without Subhaloes
• Halo concentrations from extended Press-Schechter merger histories
• A deeper look into the structure of ΛCDM haloes: correlations between halo parameters from Einasto fits