Towards accurate rescaling of a halo mass function

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.