Abstract
In order to explain the Tevatron anomaly of the top quark forward-backward asymmetry ${A}_{\mathrm{FB}}^{t}$ in the left-right twin Higgs model, we choose to give up the lightest neutral particle of $\stackrel{^}{h}$ field as a stable dark matter candidate. Then a new Yukawa interaction for $\stackrel{^}{h}$ is allowed, which can be free from the constraint of same-sign top pair production and contribute sizably to ${A}_{\mathrm{FB}}^{t}$. Considering the constraints from the production rates of the top pair ($t\overline{t}$), the top decay rates, and $t\overline{t}$ invariant mass distribution, we find that this model with such new Yukawa interaction can explain ${A}_{\mathrm{FB}}^{t}$ measured at the Tevatron while satisfying the charge asymmetry ${A}_{C}^{t}$ measured at the LHC. Moreover, this model predicts a strong correlation between ${A}_{C}^{t}$ at the LHC and ${A}_{\mathrm{FB}}^{t}$ at the Tevatron, i.e., ${A}_{C}^{t}$ increases as ${A}_{\mathrm{FB}}^{t}$ increases.
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