  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.
