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The discovery of a non-zero rate for a lepton flavor violating decay mode ofthe Higgs boson would definitely be an indication of New Physics. We review theprospects for such signal in Two Higgs Doublet Models, in particular for Higgsboson decays into $\tau \mu$ final states. We will show that this scenariocontains all the necessary ingredients to provide large flavor violating ratesand still be compatible with the stringent limits from direct searches andlow-energy flavor experiments.

Higgs lepton flavor violating decays in Two Higgs Doublet Models