Primordial black holes and lepton flavor violation with scotogenic dark matter

Abstract

We show that if the lepton flavor violating $\mu \to e\gamma$ process is observed in the MEG II experiment, the initial density of primordial black holes (PBHs) can be constrained with the scotogenic dark matter. As a benchmark case, if the PBH evaporation occurs in the radiation dominated era, the initial density may be $2\times 10^{-17}\lesssim \beta \lesssim 3\times 10^{-16}$ for $\mathcal{O}$ (TeV) scale dark sector in the scotogenic model where $\beta ={\rho }_{\mathrm{PBH}}/{\rho }_{\mathrm{rad}}$ is the ratio of the PBH density ${\rho }_{\mathrm{PBH}}$ to the radiation density ${\rho }_{\mathrm{rad}}$ at the time of PBH formation. As an other benchmark case, if PBHs evaporate in the PBH dominated era, the initial density may be $1\times 10^{-8}\lesssim \beta \lesssim 3\times 10^{-7}$ for $\mathcal{O}$ (GeV) scale dark matter with other $\mathcal{O}$ (TeV) scale particles in the scotogenic model.

23 pages, 11 figures. Accepted for publication in Progress of Theoretical and Experimental Physics

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