Chiral color symmetry and possible $G^{\mathrm{\prime }}$-boson effects at the Tevatron and LHC

A gauge model with chiral color symmetry is considered and possible effects of the color $G^{\mathrm{\prime }}$-boson octet predicted by this symmetry are investigated in dependence on two free parameters, the mixing angle ${\theta }_G$ and $G^{\mathrm{\prime }}$ mass $m_{G^{\mathrm{\prime }}}$. The allowed region in the $m_{G^{\mathrm{\prime }}}-{\theta }_G$ plane is found from the Tevatron data on the cross section ${\sigma }_{t\bar{t}}$ and forward-backward asymmetry $A_{\mathrm{F}\mathrm{B}}^{p\bar{p}}$ of the $t\bar{t}$ production. The mass limits for the $G^{\mathrm{\prime }}$-boson are shown to be stronger than those for the axigluon. A possible effect of the $G^{\mathrm{\prime }}$-boson on the $t\bar{t}$ production at the LHC is discussed and the mass limits providing for the $G^{\mathrm{\prime }}$-boson evidence at the LHC are estimated in dependence on ${\theta }_G$.