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

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Cited by in corpus (1)

• On the implementation of the spherical collapse model for dark energy models