Study Of The Process Of E~+e~-â†'l~-l'~+ In The LHT Model At Linear Collider

Although the Standard Model(SM) has been tested by many experiments, the mechanism of the electroweak symmetry breaking which is still unknown can not explain the dynamic reason for the mass generation. Furthermore, the scalar sector suffers from the problems of triviality and unnaturalness. So, the SM can only be an effective field theory below some high-energy scale,and new physics beyond the SM should exist at energy scales around TeV.In order to solve the problems in the SM, people have brought forward some new physics models beyond the SM,. such as supersymmetric theory, the dynamic theory(Technicolor), and the Little Higgs model.The Littlest Higgs model is the most simplest one among the various Little Higgs models, but the original Littlest Higgs model still su?ers from severe constraints from precision electroweak fits and the fine-tuning of the Higgs boson mass is necessary. To solve this problem, a discrete symmetry named as"T-parity"(just as R-parity in SUSY) is introduced to the LH model and the Littlest Higgs model with T-parity is called LHT model. To keep this symmetry in the LHT model, the mirror fermions are introduced corresponding each SM feimion and these particles should be T-odd while all the SM particles should be T-even. it is completely natural to see that the problem of severe constraints from precision electroweak measurement and fine-tuning in the model can be avoided.There exists new source of FC couplings in the LHT model. The studies show that the LHT model can make significant contributions to some lepton flavor violation(LFV) and Flavor Changing Neutral Currents (FCNC) processes, so does the experimeintal data of neutino oscillation hint. The International linear collider(ILC) is planned, with the center of the mass (c.m.) energy s = 300G eV ? 1.5TeV and the yearly luminosity 500 fb?1 . With high luminosity and clean background, the ILC provide an ideal site to probe LFV and FCNC processes. We just do the study on the LFV processes in the LHT model at the ILC.In this paper, we first represent the essential idea of LHT model. Then, we calculate the contribution of the LHT model to the l ? l′+production process e~+ e~-→l~- l′+ at the ILC and discuss the potential to test the LHT model via such process at the ILC.In our work, we calculate the cross section of e + e ?→l ? l′+in the LHT model. The results show that the cross sections of the processes sharply increase with the increasing of the mirror lepton masses. It can reach the level of 10 ? 4 ?105 fb which is accessible at the ILC. So thses processes can provide us a reliable method to test the LHT model.