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Title: Statistics of dark matter halos in the excursion set peak framework

We derive approximated, yet very accurate analytical expressions for the abundance and clustering properties of dark matter halos in the excursion set peak framework; the latter relies on the standard excursion set approach, but also includes the effects of a realistic filtering of the density field, a mass-dependent threshold for collapse, and the prescription from peak theory that halos tend to form around density maxima. We find that our approximations work excellently for diverse power spectra, collapse thresholds and density filters. Moreover, when adopting a cold dark matter power spectra, a tophat filtering and a mass-dependent collapse threshold (supplemented with conceivable scatter), our approximated halo mass function and halo bias represent very well the outcomes of cosmological N-body simulations.
Authors:
 [1] ;  [2]
  1. Dip. Fisica, Univ. 'Tor Vergata', Via Ricerca Scientifica 1, 00133 Roma (Italy)
  2. SISSA, Via Bonomea 265, 34136 Trieste (Italy)
Publication Date:
OSTI Identifier:
22373441
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 07; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; DENSITY; EXCURSIONS; MASS; NONLUMINOUS MATTER; PEAKS; STATISTICS