Production Of The Scalar Triplet At The High Energy Collider Experiments

Content: Although the standard model has passed a lot of precision experimental tests, it still suffers some theoretical problems of too many free paramenters, triviality, and unnaturalness, etc. Furthermore, the neutrino oscillation experiments have made one believe that neutrinos are massive, oscillate in flavor. Therefore standard model can only be an effective theory below some high energy scale. There may be new physics beyond the standard model. In recent years, the little Higgs theory is one kind of the popular new physical theories. The littlest Higgs(LH) model provides an economical approach which implements the ideas of the little Higgs theory.LH model predicts the existence of new heavy gauge bosons Z_H , B_H and W_H^±, a heavy quark T, and scalar tripletφat TeV scale. We can generating the neutrino masses by coupling the scalar triplet to the leptons in aâ–³L = 2 interaction. In this paper, we study the signatures of the doubly charged scalarsφ^±± in future three types of high energy colliders(ILC, THERA, LHC).First, in the context of LH model, we calculate the contributions ofφ^±± to the lepton flavor violating(LFV) processes l_i→l_jγ and l_i→l_jl_kl_k We can see that the LFV process l_i→l_jγ can not be able to constrain Y_ij independently, but we can obtain the constraints on the combination of the free parameters Y, Y', and M_φ. We can see the upper limit on Y strongly depend on the values of M_φand Y'. For M_φ< 2000GeV and Y' > 1 x 10^-4, there must be Y < 64. The LFV processes l_i→l_jl_kl_k also can not give the constraints on coupling constants Y(ij) independently, but would be able to constrain the combination|Y_ijY_kk^* |²/M_Φ⁴. We find that the most stringent constraint comes from the LFV processμ,→eee. In all of the parameter space, there must be|Y_μeY_ee^*|² /M_Φ⁴≤2.2×10¹⁹GeV^-4.Taking into account the constraints on these free parameters, we further calculate the contributions ofφ^±± predicted by the LH model to the LFV processes e^±e^±→l_i^±l_j^±and e⁺e^-→l_i^±l_j^±X(l_iorl_j≠e). We find that the values of(?)((?)) andσ(s) are strongly depend on the value of coupling constant Y. If the yearly integrated luminosity of ILC isï¿¡= 500fb^-1, in wide range of the parameter space, the signals ofφ^±± should be detected in the future ILC experiments.In order to understand the Higgs sector and more importantly what lies beyond the standard model, we consider single production ofφ^±± via eγ, ep and pp collisions in the context of the LH model, and see whether their signals can be detected in future three types of high energy colliders (ILC, THERA, LHC). We find that the single production cross section of the doubly charged scalarφ^±± are all big enough, the possible signals of the doubly charged scalarφ^±± should be detected in future three types of high energy colliders.