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Lepton flavor violating Z-boson decays at GigaZ as a probe of supersymmetry

We briefly review the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on $Z \to \ell_i \overline{\ell}_j$ in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw model. We conclude that under the current experimental constraints from LEP and $\ell_i\to \ell_j γ$, these rare decays can still be enhanced to reach the sensitivity of the GigaZ. Therefore, supersymmetry can be probed via these decays at GigaZ.