Higgs mediated lepton flavor violating tau decays $τ\to μγ$ and $τ\to μγγ$ in effective theories

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The size of the branching ratios for the $τ\to μγ$ and $τ\to μγγ$ decays induced by a lepton flavor violating Higgs interaction $Hτμ$ is studied in the frame of effective field theories. The best constraint on the $Hτμ$ vertex, derived from the know measurement on the muon anomalous magnetic moment, is used to impose the upper bounds $Br(τ\to μγ)<2.5\times 10^{-10}$ and $Br(τ\to μγγ)<2.3\times 10^{-12}$, which are more stringent than current experimental limits on this class of transitions.
6 pages, 3 figures

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