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We investigate the possibility of lepton flavor violation in the decays$\mu\to e\gamma$, $\tau \to \mu\gamma$ and $\tau \to e\gamma$ as well aselectric dipole moment and anomalous magnetic moment of charged leptons in theextension of the Standard Model with the most general set of gauge-invariantoperators up to dimension 6.

$l^J \to l^I \gamma$ in the Standard Model with general dimension 6 terms