Chiral color symmetry and $G^{\mathrm{\prime }}$-boson mass limit from Tevatron data on $t\bar{t}$-production

A gauge model with chiral color symmetry of quarks is considered and possible effects of the color $G^{\mathrm{\prime }}$-boson octet predicted by this symmetry are investigated. The contributions of the $G^{\mathrm{\prime }}$-boson to the cross section ${\sigma }_{t\bar{t}}$ and to the forward-backward asymmetry $A_{\rm FB}^{p \bar p}$of$t\bar{t}$ production at the Tevatron are calculated and analysed in dependence on two free parameters of the model, the mixing angle ${\theta }_G$ and $G^{\mathrm{\prime }}$ mass $m_{G^{\mathrm{\prime }}}$. The $G^{\mathrm{\prime }}$-boson contributions to ${\sigma }_{t\bar{t}}$ and $A_{\mathrm{F}\mathrm{B}}^{p\bar{p}}$ are shown to be consistent with the Tevatron data on ${\sigma }_{t\bar{t}}$ and $A_{\mathrm{F}\mathrm{B}}^{p\bar{p}}$, the allowed region in the $m_{G^{\mathrm{\prime }}}-{\theta }_G$ plane is discussed and around $m_{G’}=1.2 , TeV, ; \theta_G=14^\circ $theregionof$1 \sigma$ consistency is found.