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The littlest $Higgs$ model with T-parity (called the $LHT$ model) predictsthe existence of the T-odd leptons, which can generate contributions to someleptonic processes at the one-loop level. We calculate their contributions tothe leptonic $Z$ decay processes $Z\to l\bar{l'}$, $Z\to l\bar{l}$, and$Z\rightarro \nu\bar{\nu}$. We find that the T-odd leptons can give significantcontributions to the branching ratios of these decay processes in most of theparameter space. The experimental measurement values might generate constraintson the free parameters of the $LHT$ model.

Leptonic $Z$ decays in the littlest $Higgs$ model with T-parity