The Lrth Possible Physical Signs, And Lht Model

The standard model (SM) has been verified in the past tens of years. However, the SM has some unsolved problems, which offer the space for the development of new physics (NP) models. The SM and many other NP models all predict the existence of the Higgs bosons, but there are not any evidences at the present experiments. Whether the Higgs boson exists? What is the mass of it, if it exists? Whether it is elementary particle or composite particle? If we find the signals of the Higgs boson in experiments, how can we distinguish it? It will be helpful to detect the Higgs bosons that we study the production signals of Higgs bosons at the high energy colliders, which will be also helpful to detect the SM and other NP models. In this paper, we present our work on the production of the scalars predicted by the LRTH model at the ILC and LHC. Our numerical results denote that:the production cross sections of the neutral scalars predicted by this model can reach the level of several tens of fb at the ILC, which can reach several hundreds of fb at the the LHC; the production cross sections of the charged scalars predicted by this model can reach the level of pb at the the ILC. If the integrated luminosity of the ILC and LHC are large enough, we will obtain many events, which will help us to detect possible physical signals of the LRTH model via these scalars production processes.As we known, the neutrinos predicted by the SM are massless, and the lep-ton flavor violating (LFV) processes are not allowed at tree level. During the past decade, neutrino oscillation experiments have provided us with very convincing ev-idence that neutrinos are massive particles mixing with each other. Many kinds of popular specific models, like supersymmetry, technicolor, and little Higgs models, indicate the possibility of large LFV. These NP models all predict the presence of new particles, such as new gauge bosons, new fermions, and new scalars, which can generally enhance the branching ratios for some LFV decay processes. It is possible that the LFV signals may be observed at the ILC. This fact has lead to lot of work to study the LFV processes. Our work is in the littlest Higgs model with T parity (called the LIIT model). Taking into account the constraints of the LIIT model, in this paper,we will focus our attention on its contributions to the LFV processes e+e-→lilj andγγ→lilj(i≠j).Our numerical results denote that:in the LIIT model,the production cross sections of the LFV process e+e-→lilj can reach the level of fb,which for the LFV process can reach the level of 10-2 fb.If we assume the integrated luminosity of the ILC is 500 fb-1,there will be several hundreds of lilj events to be generated.Since the production rate of these LFV processes predicted by the SM is almost negligible,the observation of such lilj events would be a robust evidence of the LHT model.