2022MNRAS.510.1425K

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 ∼10^–22 eV that typically have de Broglie wavelength of several kpc, alleviating some of the apparent small-scale discrepancies faced by the standard ΛCDM 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 10¹⁰ M_☉ for a particle mass of 2×10^–22 eV. We also constrain the mass of FDM particle to be ^≳_∼ 2×10^–22 eV using the observations of high-redshift (z ∼ 10) lensed galaxies from CLASH survey.