An Extended Zel'dovich Model for the Halo Mass Function

Abstract

A new way to construct a fitting formula for the halo mass function is presented. Our formula is expressed as a solution to the modified Jedamzik matrix equation that automatically satisfies the normalization constraint. The characteristic parameters expressed in terms of the linear shear eigenvalues are empirically determined by fitting the analytic formula to the numerical results from the high-resolution N-body simulation and found to be independent of scale, redshift and background cosmology. Our fitting formula with the best-fit parameters is shown to work excellently in the wide mass-range at various redshifts: The ratio of the analytic formula to the N-body results departs from unity by up to 10% and 5% over 10^{11}<= M/(M_sun/h)<= 5x10^{15} at z=0,\ 0.5 and 1 for the FoF-halo and SO-halo cases, respectively.

Accepted for publication in JCAP; 19pages, 9 figures, significantly revised, discussion on the limitation of our model added

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Cited by in corpus (7)

• The halo mass function through the cosmic ages
• Measuring cosmic bulk flows with Type Ia Supernovae from the Nearby Supernova Factory
• Nonlinear Bias of Cosmological Halo Formation in the Early Universe
• Computation of the Halo Mass Function Using Physical Collapse Parameters: Application to Non-Standard Cosmologies
• Modelling the stochasticity of high-redshift halo bias
• An Analytic Formula for the Supercluster Mass Function
• The Extended Zel'dovich Mass Functions of Clusters and Isolated Clusters in the Presence of Primordial Non-Gaussianity