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We propose that the kinematical observations of dwarf galaxies can be used toconstrain the primordial black hole's (PBH) abundance in dark matter since thepresence of primordial black holes in star clusters will lead to the radialvelocity dispersion of the system. For instance, using the velocity dispersionobservations from Leo I we show that the primordial black hole fraction $f_{\rmPBH}\gtrsim 2.0\times(1~M_{\odot}/m_{\rm PBH})^2$ is ruled out at a 99.99\%confidence level. This method yields the most stringent limits on the PBHabundance at the mass scales $\sim (1-10^3)~M_{\odot}$ and tightly constrainsthe primordial origin of gravitational wave events observed by the LIGOexperiments.

Constraining primordial black holes in dark matter with kinematics of dwarf galaxies