Flavor changing top quark decay and bottom-strange production in the littlest Higgs model with T-parity

Flavor changing effects on the processes \tch, \eebs, \eebsh and \ppbs in the LHT model are investigated in this paper. We calculate the one-loop level contributions from the T-parity odd mirror quarks and gauge bosons. The results show that the top quark rare decay \tch in the LHT model can be significantly enhanced relative to that in the SM. The $b\bar{s}$ 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 \ppbs and \eebsh. So the LHT effect on \eebs might be detected at future linear colliders, while it's too small to be seen for the \eebsh and \ppbs processes at future linear colliders and LHC.