Flavor Changing Top Quark Decay and Bottom-Strange Production in the Littlest Higgs Model with T-parity

Flavor changing effects on the processes t → ch, e⁺e⁻ → b, e⁺e⁻ → bh and pp → b in the LHT model are investigated in this paper. We calculate the one-loop level contributions from the T-parity odd mirror fermions and gauge bosons. The results show that the top quark rare decay t → ch in the LHT model can be significantly enhanced relative to that in the SM. The b production at linear colliders in the LHT model can enhance the SM cross section a lot and reach 0.1 fb in some parameter space allowed in the experiment. But the heavy gauge boson and mirror fermion loops have small contribution to the processes pp → b and e⁺e⁻ → bh. So the LHT effect on e⁺e⁻ → b might be detected at future linear colliders, while it is too small to be seen for the e⁺e⁻ → bh and pp → b processes at future linear colliders and LHC.