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Production of Zt ¯ t and Zt ¯ T + in the littlest Higgs model with T-parity at High Energy Colliders

In the framework of the littlest Higgs model with T-parity (LHT), we study the process pp → Zt ¯ t at the LHC and the process e + e − → Zt ¯ t at the ILC. Besides, we study the effects in the new production channel, Zt ¯ T + or ZT + ¯ t production, at the LHC. We calculate the Zt ¯ t production cross section and the relative correction, and we present some kinematic distributions. In the allowed parameter space, we ﬁnd that the relative corrections of the Zt ¯ t production cross section are signiﬁcant and may be a good probe for the LHT model. Compared with Zt ¯ t production, we ﬁnd that the Zt ¯ T + production can have a sizable production rate for a T + below TeV scale, which will inﬂuence the Zt ¯ t events.