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Taking into account the constraints on the free parameters of the littlest Higgs model with T-parity (called model) from some rare decay processes, such as and , we consider the contributions of the model to the lepton flavor violating () processes and $\gamma\gamma\rightarrow l_{i}\bar{l}_{j}i\neq jLHT$ model can indeed produce significant contributions to these processes and its signal might has a chance of being observed in the future experiments.

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