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

Abstract

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.

16 pages, 7 figures, LaTeX. Minor changes, one reference added. Matches the version published on JCAP

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• Constraints on dark matter-neutrino scattering from the Milky-Way satellites and subhalo modeling for dark acoustic oscillations
• Soliton Merger Rates and Enhanced Axion Dark Matter Decay
• The halo mass function and inner structure of ETHOS haloes at high redshift
• Constraints on Primordial Power Spectrum from Galaxy Luminosity Functions
• Dark acoustic oscillations: Imprints on the matter power spectrum and the halo mass function
• The effect of dark matter-dark radiation interactions on halo abundance -- a Press-Schechter approach
• Probing Small Scale Primordial Power Spectrum with 21cm Line Global Signal
• Nonlinear growth of structure in cosmologies with damped matter fluctuations
• Probing Dark Relativistic Species and Their Interactions with Dark Matter through CMB and 21cm surveys
• Structure Formation with Two Periods of Inflation: Beyond PLaIn $\Lambda$CDM
• The Effects of Linear Matter Power Spectrum Enhancement on Dark Matter Substructure
• A Stochastic Theory of the Hierarchical Clustering III. The Non-universality and Non-stationarity of the Halo Mass Function
• The cusp-halo relation
• Dark Secrets of Baryons: Illuminating Dark Matter-Baryon Interactions with JWST
• Excursion Sets with a "Perfect" Collapse Model
• 21 cm Cosmology Sensitivity to Small-Scale Structure: Warm vs Neutrino-Interacting Dark Matter
• Imprints of fermionic and bosonic mixed dark matter on the 21-cm signal at cosmic dawn
• Simulating the complexity of the dark matter sheet II: halo and subhalo mass functions for non-cold dark matter models