Halo mass function and the free streaming scale

By A. Schneider, Rowan J. Smith, Darren S. Reed. 2013

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The nature of structure formation around the particle free streaming scale is still far from understood. Many attempts to simulate hot, warm, and cold dark matter cosmologies with a free streaming cuto have been performed with cosmological particlebased simulations, but they all suer from spurious structure formation at scales below their respective free streaming scales { i.e. where the physics of halo formation is most aected by free streaming. We perform a series of high resolution numerical simulations of dierent warm dark matter (WDM) models, and develop an approximate method to subtract articial structures in the measured halo mass function. The corrected measurements are then used to construct and calibrate an extended Press-Schechter (EPS) model with sharp-k window function and adequate mass assignment. The EPS model gives accurate predictions for the low redshift halo mass function of CDM and WDM models, but it signicantly under-predicts the halo abundance at high redshifts. By taking into account the ellipticity of the initial patches and connecting the characteristic lter scale to the smallest ellipsoidal axis, we are able to eliminate this inconsistency and obtain an accurate mass function over all redshifts and all dark matter particle masses covered by the simulations. As an additional application we use our model to predict the microhalo abundance of the standard neutralino-CDM scenario and we give the rst quantitative prediction of the mass function over the full range of scales of CDM structure formation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/19ee26db5cbd266fc66c387d49be791aa16ece92

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In Nuclear and High Energy Physics

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