Gauge Bosons Of The Minimal Higgs Model Predicted The Ilc On The Possible Physical Signals

The Standard Model(SM) of elementary particle has achieved much success. However, the scalar sector suffers from the problems of too many free prameters, triviality and unnaturalness, etc. Therefore SM can only be an effective field theory below some high energy scale. There may be new physics beyond the SM. 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. It predicts the existence of new heavy gauge bosons Z_h, B_h and W_H^±, a heavy quark T and triplet scalar Φ at TeV scale. In this paper, we study the signatures of the heavy gauge bosons Z_h and B_h in the future high-energy linear e^-e⁺ collider(ILC).First, in the context of LH model, we study the process e⁺e^- â†' tt. We find that, in most of the parameter space, the absolute value of the relative correction parameter R_BH generated by B_h exchange is larger than 5%, and as long as 1TeV ≤ M_ZH ≤ 1.5TeV, and 0.3 < c < 0.5, the absolute value of R_ZH is larger than 5% , which can be further enhanced by the suitably polarized beams. Thus, we can say that, with reasonable values of the parameters in the LH model, the possible signals of the new gauge bosons B_h and Z_h can be detected via the process e⁺e^-â†' tt in the future ILC experiments with the center-of-mass energy S^1/2 = 800GeV. However, the B_h exchange and Z_h exchange can only generate very small corrections to the forward-backward asymmetry A_FB(tt) in most of the parameter space. It is possible that, in very small range of the parameter space, the possible signals of B_h and Z_h might be detected via measuring the deviations of A_FB(tt) from its SM predictions.Finally, we study the contributions of the flavor changing(FC) couplings predicted by the LH model to the top-charm production via the the processes e⁺e^- â†' tc + tc, e⁺e^- â†' (tc + tc)v_ev_e, and e^-γ â†'e^-tc in the future ILC experiments. We find that the cross sections of the process e⁺e^- â†' (tc + tc)v_ev_e and e^-γâ†' e^-tc are very small in all of the parameter space, which can not give detectable signals. For the process e⁺e^-â†' tc + tc, the cross section of top-charm production is approximately equal to 1.2 ×10^-2fb in part of the parameter space preferred by the electroweak precision data. However, for S^1/2 = M_ZH , the cross section can be significantly enhanced and the contributions of the LH model to the top-charm production mainly come from the FC coupling Z_Htc. For example, for S^1/2 = M_ZH = 1TeV, 1.5TeV, 2TeV, the values of cross section are 16.8fb, 7.7fb. and 4.4/6, respectively. The resonance effects of the heavy gauge boson Z_h on the top-charm production should be detected in the future ILC experiments.In conclusion, it is possible to detect the signatures of the new heavy gauge bosons Z_h and B_h via the above-mentioned processes in the future ILC experiments.