We study theoretically the quantum effects of the littlest Higgs
model (LH) mediated by flavor changing one-loop Feynman diagrams on
the rare decay process t → cH0. The comparison of the decay
width in the LH model with that in the standard model (SM) is made.
We find that the decay branch ratio of t → cH0 in the LH
model is at most of the order ∼10-12, which is two order
larger than in the SM. The numerical results show that the
difference between the branch ratios in the LH model and the SM is
generally sensitive to the LH model parameters, such as symmetry
breaking scale f, Higgs boson mass mH0, and
x = v'4f/v2 in our chosen parameter space, but
relatively insensitive to the value choice of the cosine of the
mixing angle c and the ratio λ1/λ2.