Title: Dynamical Heating Constraints on Dark Matter

Abstract: There is a large and growing interest in observations of small-scale structure in dark matter. We propose a new way to probe dark matter structures in the ~10-10^8 solar mass range. This allows us to constrain the primordial power spectrum from inflation over shorter distances scales than possible with direct observations from the CMB.  For the high k range our constraints on the power spectrum and dark matter isocurvature perturbations are orders of magnitude stronger than previous bounds.  Our method relies on the heating effect such dark matter substructures would have on the distribution of stars in an ultra-faint dwarf galaxy. Many models of inflation produce enhanced power at these short distance scales and can thus be constrained by our observation.  Further, many dark matter models such as axion dark matter, self-interacting dark matter and dissipative dark matter produce dense structures which could be constrained this way.  Additionally, using the same effect we can set constraints on MACHO (e.g. PBH) dark matter.

https://lbnl.zoom.us/j/94928022788?pwd=emVQWG1mTnhSbHVqekVuenk0VEVQZz09