The primordial power spectrum of matter density perturbations contains highly valuable information about new fundamental physics, in particular cosmological inflation, but is only very weakly constrained observationally for small cosmological scales $k\gtrsim 3{\mathrm{Mpc}}^{-1}$. We derive novel constraints, ${\mathcal{P}}_{\mathcal{R}}(k)\lesssim 5\times {10}^{-6}$ over a large range of such scales, from the formation of ultracompact minihalos in the early universe. Unlike most existing constraints of this type, our results do not rest on the assumption that dark matter can annihilate into ordinary matter.

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• Cosmology
• Dark matter
• Large scale structure of the Universe