A high precision semi-analytic mass function

Abstract

In this paper, extending past works of Del Popolo, we show how a high precision mass function (MF) can be obtained using the excursion set approach and an improved barrier taking implicitly into account a non-zero cosmological constant, the angular momentum acquired by tidal interaction of proto-structures and dynamical friction. In the case of the $\Lambda$CDM paradigm, we find that our MF is in agreement at the 3\% level to Klypin's Bolshoi simulation, in the mass range $M_{\mathrm{vir}}=5\times 10^9{h}^{-1}{M}_{\odot }--5\times 10^{14}{h}^{-1}{M}_{\odot }$ and redshift range $0\lesssim z\lesssim 10$. For $z=0$ we also compared our MF to several fitting formulae, and found in particular agreement with Bhattacharya's within 3\% in the mass range $10^{12}-10^{16}{h}^{-1}{M}_{\odot }$. Moreover, we discuss our MF validity for different cosmologies.

25pp, 6 figs., accepted by JCAP. 2017

References in corpus (95)

• 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
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Large scale bias and the peak background split
• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Cold collapse and the core catastrophe
• 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
• Observational and Theoretical Constraints on Singular Dark Matter Halos
• Precision Determination of the Mass Function of Dark Matter Halos
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys
• The halo mass function from the dark ages through the present day
• A Measurement of the Cosmic Microwave Background Damping Tail from the 2500-square-degree SPT-SZ survey
• Cosmic Structure Growth and Dark Energy
• The halo mass function through the cosmic ages
• The Atacama Cosmology Telescope: Temperature and Gravitational Lensing Power Spectrum Measurements from Three Seasons of Data
• What is the Highest Plausible Redshift of Luminous Quasars?
• The Nearly Universal Merger Rate of Dark Matter Haloes in Lambda-CDM Cosmology
• The mass function
• The Halo Mass Function: High-Redshift Evolution and Universality
• Evolution of the Mass Function of Dark Matter Haloes
• Constraints on Omega_m, Omega_L, and Sigma_8, from Galaxy Cluster Redshift Distributions
• The mass of a halo
• Simulating the Universe with MICE: The abundance of massive clusters
• Mass Function Predictions Beyond LCDM
• The overdensity and masses of the friends-of-friends halos and universality of the halo mass function
• An excursion set model for the distribution of dark matter and dark matter haloes
• Importance of Cluster Structural Evolution in Using X-ray and SZE Galaxy Cluster Surveys to Study Dark Energy
• Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
• Characteristic Scales During Reionization
• The Cusp/Core problem and the Secondary Infall Model
• The Halo Mass Function from Excursion Set Theory. II. The Diffusing Barrier
• CDM-Variant Cosmological Models - I: Simulations and Preliminary Comparisons
• Constraining dark energy with Sunyaev-Zel'dovich cluster surveys
• Dependence of Halo Properties on Interaction History, Environment and Cosmology
• Non-Baryonic Dark Matter in Cosmology
• The Structure of Halos: Implications for Group and Cluster Cosmology
• Dark matter and structure formation a review
• The Halo Mass Function from Excursion Set Theory. III. Non-Gaussian Fluctuations
• Spherical collapse model in dark energy cosmologies
• Spherical collapse model with shear and angular momentum in dark energy cosmologies
• Dark matter halo abundances, clustering and assembly histories at high redshift
• Density profiles of dark matter haloes on Galactic and Cluster scales
• Density profile slope in Dwarfs and environment
• A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: I Dynamics
• A comparison of structure formation in minimally and non-minimally coupled quintessence models
• Effects of shear and rotation on the spherical collapse model for clustering dark energy
• On the Density profile slope of Clusters of Galaxies
• Shear and rotation in Chaplygin cosmology
• On the universality of density profiles
• How to Grow a Healthy Merger Tree
• Extended Spherical Collapse and the Accelerating Universe
• Structure formation in cosmologies with oscillating dark energy
• Cosmological measure with volume averaging and the vacuum energy problem
• Spherical galaxy models as equilibrium configurations in nonextensive statistics
• Surface Density of dark matter haloes on galactic and cluster scales
• A unified solution to the small scale problems of the $\Lambda$CDM model
• A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: II Statistics
• The Bias and Mass Function of Dark Matter Halos in Non-Markovian Extension of the Excursion Set Theory
• Cusps and Cores in the presence of galactic bulges
• A theoretical study of the mass temperature relation for clusters of galaxies
• Ellipsoidal collapse and previrialization
• Newtonian acceleration scales in spiral galaxies
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
• Secondary infall model and dark matter scaling relations in intermediate redshift early - type galaxies
• Non--power law behavior of the radial profile of phase--space density of halos
• A unified solution to the small scale problems of the $\Lambda$CDM model II: introducing parent-satellite interaction
• Halo Mass Functions in Early Dark Energy Cosmologies
• On the reliability of merger-trees and the mass growth histories of dark matter haloes
• On the Average Comoving Number Density of Halos
• On the evolution of aspherical perturbations in the universe: an analytical model
• Evolution of spherical overdensities in holographic dark energy models
• Some improvements to the spherical collapse model
• Effects of ghost dark energy perturbations on the evolution of spherical overdensities
• Conditional Mass Functions and Merger Rates of Dark Matter Halos in the Ellipsoidal Collapse Model
• Conditional Probabilities in the Excursion Set Theory. Generic Barriers and non-Gaussian Initial Conditions
• Non radial motions and the shapes and the abundance of clusters of galaxies
• Growth of spherical overdensities in scalar-tensor cosmologies
• On the Dynamical Origin of Bias in Clusters of Galaxies
• Non-linear Dynamics and Mass Function of Cosmic Structures: I Analytical Results
• Substructure effects on the collapse of density perturbations
• Tidal torques and the clusters of galaxies evolution
• On the cosmological mass function theory
• The effect of non-radial motions on the X-ray temperature distribution function and the two-point correlation function of clusters
• Modelling the flux distribution function of the extragalactic gamma-ray background from dark matter annihilation
• Spherical collapse of dark matter haloes in tidal gravitational fields
• Shear and vorticity in the spherical collapse of dark matter haloes
• Effects of tidal gravitational fields in clustering dark energy models
• HMFcalc: An Online Tool for Calculating Dark Matter Halo Mass Functions
• High velocity clumps and cluster of galaxies evolution

Cited by in corpus (28)

• Dark compact objects: an extensive overview
• The halo model for cosmology: a pedagogical review
• On the implementation of the spherical collapse model for dark energy models
• The mass function dependence on the dynamical state of dark matter haloes
• Neutron Stars and Dark Matter
• Mass-Temperature relation in $\Lambda$CDM and modified gravity
• On the change of old neutron star masses with galactocentric distance
• Energy transfer from baryons to dark matter as a unified solution to small-scale structure issues of the $\Lambda$CDM model
• On the effect of angular momentum on the prompt cusp formation via the gravitational collapse
• Primordial Black Hole Merger Rate in $f(R)$ Gravity
• On the Merger Rate of Primordial Black Holes in Cosmic Voids
• Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos
• The BAHAMAS project: Evaluating the accuracy of the halo model in predicting the non-linear matter power spectrum
• Primordial Black Hole-Neutron Star Merger Rate in Modified Gravity
• Gravitational Lensing in More Realistic Dark Matter Halo Models
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies II: the role of dark energy
• Toward More Realistic Mass Functions For Ultradense Dark Matter Halos
• Matching JWST UV Luminosity Functions with Refined $\Lambda$CDM Halo Models
• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies
• High-redshift Galaxies from JWST Observations in More Realistic Dark Matter Halo Models
• Barions and $\Lambda$CDM Model Problems
• Cluster density slopes from Dark Matter-Baryons Energy Transfer
• Ultradense Dark Matter Halos with Poisson Noise from Stellar-Mass Primordial Black Holes
• Toward Gravitational Lensing in Modified Theories of Gravity
• On the universality of the halo mass function beyond $\Lambda$CDM cosmology
• Correlations in the matter distribution in CLASH galaxy clusters
• Dynamical friction shear and rotation in Chaplygin cosmology
• Constraining the inflaton potential with gravitational waves from oscillons