Virial halo mass function in the $Planck$ cosmology

Abstract

We study halo mass functions with high-resolution $N$-body simulations under a $\Lambda$CDM cosmology. Our simulations adopt the cosmological model that is consistent with recent measurements of the cosmic microwave backgrounds with the $Planck$ satellite. We calibrate the halo mass functions for $10^{8.5} \lower.5ex\hbox{$\; \buildrel < \over \sim \;$} M_\mathrm{vir} / (h^{-1}M_\odot) \lower.5ex\hbox{$\; \buildrel < \over \sim \;$} 10^{15.0 - 0.45 \, z}$, where $M_{\mathrm{vir}}$ is the virial spherical overdensity mass and redshift $z$ ranges from $0$ to $7$. The halo mass function in our simulations can be fitted by a four-parameter model over a wide range of halo masses and redshifts, while we require some redshift evolution of the fitting parameters. Our new fitting formula of the mass function has a 5\%-level precision except for the highest masses at $z\le 7$. Our model predicts that the analytic prediction in Sheth $\&$ Tormen would overestimate the halo abundance at $z=6$ with $M_{\mathrm{vir}}=10^{8.5-10}{h}^{-1}{M}_{\odot }$ by $20-30\%$. Our calibrated halo mass function provides a baseline model to constrain warm dark matter (WDM) by high-$z$ galaxy number counts. We compare a cumulative luminosity function of galaxies at $z=6$ with the total halo abundance based on our model and a recently proposed WDM correction. We find that WDM with its mass lighter than $2.71\mathrm{keV}$ is incompatible with the observed galaxy number density at a $2\sigma$ confidence level.

arXiv comment19 pages, 11 figures, 2 tables. Accepted for publication in ApJ

References in corpus (82)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Large scale bias and the peak background split
• Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
• Toward a halo mass function for precision cosmology: the limits of universality
• Mass function of dark matter halos
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Physical Models of Galaxy Formation in a Cosmological Framework
• Cosmological Parameters from Observations of Galaxy Clusters
• Halo Formation in Warm Dark Matter Models
• Semi-Analytic Modelling of Galaxy Formation: The Local Universe
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• Halos and galaxies in the standard cosmological model: results from the Bolshoi simulation
• Multi-scale initial conditions for cosmological simulations
• The Connection between Galaxies and their Dark Matter Halos
• Transients from Initial Conditions in Cosmological Simulations
• Halo concentrations in the standard LCDM cosmology
• Precision Determination of the Mass Function of Dark Matter Halos
• New Constraints on the free-streaming of warm dark matter from intermediate and small scale Lyman-$\alpha$ forest data
• Sample Variance Considerations for Cluster Surveys
• Haloes gone MAD: The Halo-Finder Comparison Project
• Sterile Neutrino Dark Matter
• A White Paper on keV Sterile Neutrino Dark Matter
• The halo mass function from the dark ages through the present day
• Directly Observing the Galaxies Likely Responsible for Reionization
• The splashback radius as a physical halo boundary and the growth of halo mass
• The halo mass function through the cosmic ages
• Semi-analytic predictions for statistical properties of X-ray clusters of galaxies in cold dark matter universes
• Dark Matter Substructure in Numerical Simulations: A Tale of Discreteness Noise, Runaway Instabilities, and Artificial Disruption
• Nonlinear Evolution of Cosmological Structures in Warm Dark Matter Models
• Damping scales of neutralino cold dark matter
• The Uchuu Simulations: Data Release 1 and Dark Matter Halo Concentrations
• The universality of the virial halo mass function and models for non-universality of other halo definitions
• The Small-Scale Power Spectrum of Cold Dark Matter
• Halo mass function: Baryon impact, fitting formulae and implications for cluster cosmology
• The mass function
• The Halo Mass Function: High-Redshift Evolution and Universality
• The power spectrum of SUSY-CDM on sub-galactic scales
• What mass are the smallest protohalos?
• Effects of cold dark matter decoupling and pair annihilation on cosmological perturbations
• Lyman-alpha Forests cool Warm Dark Matter
• Small-scale clumps in the galactic halo and dark matter annihilation
• Structure Finding in Cosmological Simulations: The State of Affairs
• SubHaloes going Notts: The SubHalo-Finder Comparison Project
• Mass Function Predictions Beyond LCDM
• The MultiDark Database: Release of the Bolshoi and MultiDark Cosmological Simulations
• The abundance of (not just) dark matter haloes
• The overdensity and masses of the friends-of-friends halos and universality of the halo mass function
• The Aemulus Project II: Emulating the Halo Mass Function
• Robustness of Cosmological Simulations I: Large Scale Structure
• GreeM : Massively Parallel TreePM Code for Large Cosmological N-body Simulations
• Constraints on dark matter scenarios from measurements of the galaxy luminosity function at high redshifts
• The detailed structure and the onset of galaxy formation in low-mass gaseous dark matter haloes
• The effects of baryons on the halo mass function
• The effect of AGN feedback on the halo mass function
• The splashback radius of halos from particle dynamics. I. The SPARTA algorithm
• Numerical convergence of simulations of galaxy formation: the abundance and internal structure of cold dark matter haloes
• The High-$z$ Universe Confronts Warm Dark Matter: Galaxy Counts, Reionization and the Nature of Dark Matter
• The Effect of Gas Physics on the Halo Mass Function
• Clustering and Halo Abundances in Early Dark Energy Cosmological Models
• The properties of "dark" ΛCDM halos in the Local Group
• The ${\nu }^2$GC Simulations : Quantifying the Dark Side of the Universe in the Planck Cosmology
• A Stringent Limit on the Warm Dark Matter Particle Masses from the Abundance of z=6 Galaxies in the Hubble Frontier Fields
• Focusing on Warm Dark Matter with Lensed High-redshift Galaxies
• Universal at last? The splashback mass function of dark matter halos
• The biasing of baryons on the cluster mass function and cosmological parameter estimation
• Accurate mass and velocity functions of dark matter halos
• Ruling out 3 keV warm dark matter using 21 cm-EDGES data
• Hints, neutrino bounds and WDM constraints from SDSS DR14 Lyman-$\alpha$ and Planck full-survey data
• Impact of baryons on the cluster mass function and cosmological parameter determination
• The Abundance and Structure of Subhaloes near the Free Streaming Scale and Their Impact on Indirect Dark Matter Searches
• Flybys, orbits, splashback: subhalos and the importance of the halo boundary
• Towards a general parametrization of the warm dark matter halo mass function
• The impact of baryonic physics on the abundance, clustering, and concentration of halos
• Dark matter protohalos in MSSM-9 and implications for direct and indirect detection

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• Dark Matter in Fractional Gravity I: Astrophysical Tests on Galactic Scales
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• A Multi-messenger view of Cosmic Dawn: Conquering the Final Frontier
• A Stochastic Theory of the Hierarchical Clustering III. The Non-universality and Non-stationarity of the Halo Mass Function
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