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A new smooth-k space filter approach to calculate halo abundances.

Leo, Matteo and Baugh, Carlton M. and Li, Baojiu and Pascoli, Silvia (2018) 'A new smooth-k space filter approach to calculate halo abundances.', Journal of cosmology and astroparticle physics., 2018 (04). 010.


We propose a new filter, a smooth-k space filter, to use in the Press-Schechter approach to model the dark matter halo mass function which overcomes shortcomings of other filters. We test this against the mass function measured in N-body simulations. We find that the commonly used sharp-k filter fails to reproduce the behaviour of the halo mass function at low masses measured from simulations of models with a sharp truncation in the linear power spectrum. We show that the predictions with our new filter agree with the simulation results over a wider range of halo masses for both damped and undamped power spectra than is the case with the sharp-k and real-space top-hat filters.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Publisher statement:This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Date accepted:23 March 2018
Date deposited:19 April 2018
Date of first online publication:03 April 2018
Date first made open access:03 April 2019

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