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Flavor violating processes in the lepton sector have highly suppressedbranching ratios in the standard model. Thus, observation of lepton flavorviolation (LFV) constitutes a clear indication of physics beyond the standardmodel (BSM). We review new physics searches in the processes that violate theconservation of lepton (muon) flavor by two units with muonia andmuonium--antimuonium oscillations.

Studying $\Delta L=2$ Lepton Flavor Violation with Muons