What is the halo mass function in a fuzzy dark matter cosmology?

Fuzzy dark matter (FDM) or wave dark matter is an alternative theory designed to solve the small-scale problems faced by the standard cold dark matter proposal for the primary material component of the Universe. It is made up of ultra-light axions having mass similar to 10(-22) eV that typically have de Broglie wavelength of several kpc, alleviating some of the apparent small-scale discrepancies faced by the standard ACDM paradigm. In this paper, we calculate the halo mass function for the FDM using a sharp-k window function and compare it with one calculated using numerical simulations, finding the peak mass at roughly 10(10 )M(circle dot) for a particle mass of 2 x 10(-22) eV. We also constrain the mass of FDM particle to be greater than or similar to 2 x 10(-22) eV using the observations of high-redshift (z similar to 10) lensed galaxies from CLASH survey.

Automated summary

Fuzzy dark matter, composed of ultra-light axions, is an alternative theory designed to address the small-scale problems faced by the standard cold dark matter proposal. It alleviates some of the apparent discrepancies faced by the standard ACDM paradigm.