Electron-muon conversion in nuclei and rare decays induced by LFV dark photon

We study lepton flavor violation (LFV) effects occurring in the $e-μ$ conversion in nuclei and in the rare radiative decays η(η') → γμe of the $η$ and $η'$ mesons with a special impact of the sub-GeV mass vector mediator (dark photon). In the case of the lepton conversion we make estimates for running and future experiments operating with electron beams at fixed target. Obtained results are implemented in analysis of the LFV decays η(η') → γμe. In particular, we derive the following upper bounds on the branching ratios Br(η→ γμe)< 2 × 10⁻⁷ and Br(η^ → γμe)< 2× 10⁻⁸ in the framework of massive vector mediator portal.