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arXiv · 1012.3468

Toward a Universal Formulation of the Halo Mass Function

P. S. Corasaniti·I. Achitouv
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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.

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BibTeXRIS

P. S. Corasaniti, I. Achitouv. 2011-07-06. Toward a Universal Formulation of the Halo Mass Function. https://doi.org/10.1103/physrevlett.106.241302

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