The chiral color symmetry of quarks and $G^{\mathrm{\prime }}$-boson contributions to charge asymmetry in $t\bar{t}$-production at the LHC and Tevatron

The contributions of $G^{\mathrm{\prime }}$-boson predicted by the chiral color symmetry of quarks to the charge asymmetry $A_C(pp\to t\bar{t})$ in $t\bar{t}$ production at the LHC and to the forward-backward asymmetry $A_{\rm FB}(p\bar{p} \to t\bar{t})$in$t\bar{t}$ production at the Tevatron are calculated and analysed in dependence on two free parameters of the model, the $G^{\mathrm{\prime }}$ mass $m_{G^{\mathrm{\prime }}}$ and mixing angle ${\theta }_G$. The $m_{G^{\mathrm{\prime }}}-{\theta }_G$ regions of $1\sigma$ consistency with the CMS data on the cross section $\sigma(pp \to t\bar{t})$andonthechargeasymmetry$A_C(p p \to t\bar{t})$ are found and compared with those resulted from the CDF data on the cross section $\sigma (p\bar{p}\to t\bar{t})$ and on the forward-backward asymmetry $A_{\rm FB}(p\bar{p} \to t\bar{t})$of$t \bar{t}$ production at the Tevatron with account of the current SM predictions for $A_{\mathrm{F}\mathrm{B}}(p\bar{p}\to t\bar{t})$.