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Lepton Flavor Violation in the Standard Model with general Dimension-Six Operators

We study lepton flavor observables in the Standard Model (SM) extended with all dimension-$6$ operators which are invariant under the SM gauge group. We calculate the complete one-loop predictions to the radiative lepton decays $μ\to eγ$, $τ\to μγ$ and $τ\to eγ$ as well as to the closely related anomalous magnetic moments and electric dipole moments of charged leptons, taking into account all dimension-$6$ operators which can generate lepton flavor violation. Also the 3-body flavor violating charged lepton decays $τ^\pm \to μ^\pm μ^+ μ^-$, $τ^\pm\to e^\pm e^+ e^- $, $τ^\pm \to e^\pm μ^+ μ^- $, $τ^\pm \to μ^\pm e^+ e^- $, $τ^\pm \to e^\mp μ^\pm μ^\pm$, $τ^\pm \to μ^\mp e^\pm e^\pm $ and $μ^\pm \to e^\pm e^+ e^-$ and the $Z^0$ decays $Z^0\to\ell_i^+\ell_j^-$ are considered, taking into account all tree-level contributions.