Ultraviolet divergences of flavor changing amplitudes in the littlest Higgs model with T-parity

Flavor changing neutral current processes are studied in the littlest Higgs model with T-parity. It is found that the logarithmic divergence reported earlier in Z boson flavor changing processes is exactly canceled by contributions from additional interaction terms of heavy fermions and the Z   boson. Phenomenological impact on the K→πνν¯ processes is discussed.