Toward a Universal Formulation of the Halo Mass Function

Abstract

We compute the dark matter halo mass function using the excursion set formalism for a diffusive barrier with linearly drifting average which captures the main features of the ellipsoidal collapse model. We evaluate the non-Markovian corrections due to the sharp filtering of the linear density field in real space with a path-integral method. We find an unprecedented agreement with N-body simulation data with deviations within ~5% level over the range of masses probed by the simulations. This indicates that the Excursion Set in combination with a realistic modelling of the collapse threshold can provide a robust estimation of the halo mass function.

5 pages, 2 figures; substantial corrections, results unchanged. Matches PRL published version

References in corpus (4)

• A direct empirical proof of the existence of dark matter
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• Environmental dependence in the ellipsoidal collapse model
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions

Cited by in corpus (47)

• Formation of Galaxy Clusters
• One step beyond: The excursion set approach with correlated steps
• Excursion set peaks: a self-consistent model of dark halo abundances and clustering
• Spherical collapse and halo mass function in f(R) theories
• Combining clustering and abundances of galaxy clusters to test cosmology and primordial non-Gaussianity
• Modelling Void Abundance in Modified Gravity
• Cluster abundance in chameleon $f(R)$ gravity I: toward an accurate halo mass function prediction
• Caught in the cosmic web: Environmental effect on halo concentrations, shape, and spin
• Halo abundances and counts-in-cells: The excursion set approach with correlated steps
• Coupled Quintessence and the Halo Mass Function
• Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse
• Joint halo mass function for modified gravity and massive neutrinos I: simulations and cosmological forecasts
• The Imprint of f(R) Gravity on Non-Linear Structure Formation
• Cluster-void degeneracy breaking: Neutrino properties and dark energy
• Testing spherical evolution for modelling void abundances
• The importance of stepping up in the excursion set approach
• Self-consistency of the Excursion Set Approach
• Conditional Probabilities in the Excursion Set Theory. Generic Barriers and non-Gaussian Initial Conditions
• The Halo Void (Dust) Model of Large Scale Structure
• Computation of the Halo Mass Function Using Physical Collapse Parameters: Application to Non-Standard Cosmologies
• The Effect of Local non-Gaussianity on the Matter Bispectrum at Small Scales
• The excursion set approach in non-Gaussian random fields
• Cold dark energy constraints from the abundance of galaxy clusters
• Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations
• Small scale clustering of late forming dark matter
• Mass accretion rates of clusters of galaxies: CIRS and HeCS
• Primordial Black Hole Merger Rate in $f(R)$ Gravity
• Primordial Bispectrum and Trispectrum Contributions to the Non-Gaussian Excursion Set Halo Mass Function with Diffusive Drifting Barrier
• Galaxy cluster mass accretion rates from IllustrisTNG
• An IllustrisTNG View of the Caustic Technique for Galaxy Cluster Mass Estimation
• A Stochastic Theory of the Hierarchical Clustering I. Halo Mass Function
• Statistics of Dark Matter Halos in the Excursion Set Peak Framework
• An Extended Zel'dovich Model for the Halo Mass Function
• Choose to smooth: Gaussian streaming with the truncated Zel'dovich approximation
• Mass accretion rates of the HectoMAP clusters of galaxies
• Constraining the Neutrino Mass with the Drifting Coefficient of the Field Cluster Mass Function
• The Diffusion Coefficient of the Splashback Mass Function as a Probe of Cosmology
• Breaking the Dark Degeneracy with the Drifting Coefficient of the Field Cluster Mass Function
• Stochasticity in halo formation and the excursion set approach
• Dependence on the environment of the abundance function of light-cone simulation dark matter haloes
• Evolution of the Deterministic Collapse Barrier of the Field Clusters as a Probe of Cosmology
• The Effect of Primordial Anti-Biasing on the Local Measurement of the Key Cosmological Parameters
• The Splashback Mass Function in the Presence of Massive Neutrinos
• On the Abundance of Extreme Voids II: A Survey of Void Mass Functions
• Statistical Decoupling of Lagrangian Fluid Parcel in Newtonian Cosmology
• On the first crossing distributions in fractional Brownian motion and the mass function of dark matter haloes
• The Extended Zel'dovich Mass Functions of Clusters and Isolated Clusters in the Presence of Primordial Non-Gaussianity