Toward a Universal Formulation of the Halo Mass Function

Details Toward a Universal Formulation of the Halo Mass Function Toward a Universal Formulation of the Halo Mass Function

2010-12-15

arxiv.org/abs/1012.3468v2

Phys.Rev.Lett.106:241302,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

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

Scientific paper

10.1103/PhysRevLett.106.241302

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.

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