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Mirror Twin Higgs(MTH) models always contain heavy gauge bosons and extraHiggses. Besides, to accommodate tiny neutrino masses via seesaw mechanism, newheavy neutrinos can also be introduced in MTH extension models. Such newparticles and interactions may lead to new contributions to the lepton flavorviolating (LFV) processes, including $\ell_i \to \ell_j\gamma$ and $\ell_i \to\ell_j\ell_k\ell_l$. We find that current experimental data can stringentlyconstrain the parameter spaces and certain LFV processes can possibly be testedby the next generation colliders. One-loop contributions of the new particlesto the muon anomalous magnetic momentumare also calculated. Such contributionscan still not solve the discrepancy between the experiments and the predictionof the standard model.

The Lepton Flavor Changing Decays and One-loop Muon Anomalous Magnetic Moment in the Extended Mirror Twin Higgs Models