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A high precision semi-analytic mass function

A. Del Popolo, F. Pace, M. Le Delliou

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 ΛCDM paradigm, we find that our MF is in agreement at the 3% level to Klypin's Bolshoi simulation, in the mass range Mvir = 5 × 109h−1M–−5 × 1014h−1M and redshift range 0≲z≲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 1012–1016 h−1M. Moreover, we discuss our MF validity for different cosmologies.

Keywords
Astrophysics - Cosmology and Nongalactic Astrophysics

Journal of Cosmology and Astroparticle Physics
Volume 2017, Issue 032, Page 26
2017 March

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia