Modified initial power spectrum and too big to fail problem

Hamed Kameli, Shant Baghram

Published 2019-12-27Version 1

The galactic scale challenges of dark matter such as "missing satellite" problem and "too big to fail" problem is one of the main caveats of standard model of cosmology. These challenges can be solved either by implementing the complicated baryonic physics or it could be an indication to a new physics beyond the standard model of cosmology. The modification of collision less dark matter models or modification of standard initial conditions are two promising venues for study. In this work, we investigate the effects of the deviations from scale invariant initial curvature power spectrum on number density of dark matter halos. In this work we develop the non-Markov extension of the excursion set theory to address the number density count of dark matter substructures and dark matter halo progenitor mass distribution. We show that the plausible solution to "too big to fail" problem could obtain by a Gaussian excess in initial power in the scales of $k_* \sim 3 h/Mpc$ which is related to the mass scale of $M_* \sim 10^{11} M_{\odot}$. We show that this deviation is consistent with the current status of the non-linear power spectrum. Our proposal also has a prediction that the number density of Milky way type galaxies must be higher than the standard case.