Towards accurate rescaling of a halo mass function

TL;DR

This paper explores how accurately a simulated dark matter halo mass function can be rescaled for different cosmological parameters, achieving better precision than existing models.

Contribution

It demonstrates that rescaling can reach sub-5% accuracy across various cosmologies, surpassing traditional fitting functions.

Findings

Rescaling accuracy depends linearly on parameter differences.

Achieves better precision than Sheth-Mo-Tormen and modern fits.

Precision reaches a few percent for WMAP5 and PLANCK parameters.

Abstract

We investigate the precision within which a simulated dark matter halo mass function can be rescaled to a different set of cosmological parameters. Our tests show that the accuracy almost linearly depends on the difference of the cosmological parameters and amounts to few percent in the case of WMAP5 and PLANCK parameters. The rescaling allows thus to obtain a mass function with better precision than the one given by Sheth-Mo-Tormen approximation and even more modern fits currently used in literature.