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We study the synchrotron radio emission in the mixed dark matter scenariosconsisting of the primordial black holes (PBHs) and the self-annihilating WIMPs(weakly interacting massive particles). The WIMPs can form the ultracompactminihalos around PBHs and the annihilation enhancement from these dense haloscan lead to the efficient synchrotron radiation at the radio frequency in thepresence of galactic magnetic fields. The upper bound of PBH fraction withrespect to the total dark matter abundance is of order $10^{-8}\sim 10^{-5}$depending on the electroweak scale WIMP mass ($m_{\chi}=10\sim 1000$ GeV) andthe WIMP annihilation channel (e.g. a hadronic $\chi \chi \rightarrow b\bar{b}$ or a leptonic $\chi \chi \rightarrow e^+ e^-$ channel). The PBHcontribution to the total dark matter abundance is hence negligible when theother component of dark matter is composed of the conventional electroweakscale WIMPs.

Radio bounds on the mixed dark matter scenarios of primordial black holes and WIMPs