Production of $Z t \bar{t}$ and $Z t \bar{T}^{+}$ in the littlest Higgs model with T-parity at High Energy Colliders

Abstract

In the framework of the littlest Higgs model with T-parity (LHT), we study the process $pp\rightarrow Zt\bar{t}$ at the LHC and the process $e^{+}e^{-}\rightarrow Zt\bar{t}$ at the ILC. Besides, we study the effects in the new production channel, $Z t \bar{T}^{+}$ or $Z T^{+}\bar{t}$ production, at the LHC. We calculate the $Zt\bar{t}$ 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 $Zt\bar{t}$ production cross section are significant and may be a good probe for the LHT model. Compared with $Zt \bar{t}$ production, we find that the $Z t \bar{T}^{+}$ production can have a sizable production rate for a T + below TeV scale, which will influence the $Zt \bar{t}$ events.