| The Standard Model(SM) is a gauge theory to describe strong and electroweak interactions of elementary particles. In the past decades, the remarkable agreement of experiments with the predictions of the SM testifies the correctness of the SM in describing the electroweak physics.But there are some flaws still in the theory. So the physics Higgs introduced some new physics model beyond the SM. The Little Higgs model is one of the important promising candidates of new physics.The Littlest Higgs (LH) model introduce a new discrete symmetry named as"T-parity"to avoid the constraints from precision electroweak measurement. In this model, a large part of the model parameter space is consistent with data, and values of the symmetry breaking scale f can be as low as 500GeV . And it intrduced mirror quarks to every feimions of the SM (T-odd quark and T-odd lepton). The mirror fermions are odd under T-parity and can be given large masses, which can introduce new flavor changing interactions between SM fermions and mirror fermions. As the heaviest fermion with a weak scale known elementary particle, it may be more sensitive to new phsics than other fermions. Theoretically, one expects to obtain production rates for the top quark at the have operated CERN Large Hadron Collider (LHC) colliders, reaching 10-7-10-8t(t|-) pairs per year with luminosity of 10-1 fb, will allow to perform precision studies of top quark properties.In this paper we will concentrate on the top quark three-body decays t→cf(f|-) in the LHT model and figure out if they can reach the sensitivity of the LHC. We conclude that: i) All the branching ratios of these processes strongly depend on the heavy quark masses and the branching ratios increase significantly with the heavy quark masses increasing. ii) The branching ratios obviously rely on the parameterization scenarios of VHd.iii) The branching ratios of the processes t→cb(b|-) in optimum case are large enough to be observed at LHC. |
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