Mass Function Predictions Beyond LCDM

Mathematics – Logic

Scientific paper

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Scientific paper

The statistics of dark matter halos is an essential component of precision cosmology. The mass distribution of halos, as specified by the halo mass function, is a key input for several cosmological probes. The sizes of N-body simulations are now such that, for the most part, results need no longer be statistics-limited, but are still subject to various systematic uncertainties. Discrepancies in the results of recent simulation campaigns for the halo mass function remain in excess of statistical uncertainties and of roughly the same size as the error limits set by near-future observations; we investigate and discuss some of the reasons for these differences. Quantifying error sources and compensating for them as appropriate, we carry out a high-statistics study of dark matter halos from 67 N-body simulations to investigate the mass function and its evolution for a LCDM cosmology and for a set of wCDM cosmologies. We quantify the breaking of universality in the form of the mass function as a function of redshift, finding an evolution of as much as 10 % away from the universal form between redshifts z=0 and z=2. We provide a fitting formula to our results for the (evolving) LCDM mass function over a mass range of 6e11-3e15 solar-mass to an estimated accuracy of about 2 %. In the case of the wCDM cosmologies, we find that the mass function is described by the same fitting formula at an accuracy level of 5-10 % over widely varying cosmologies.

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