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The anomaly of the top quark forward-backward asymmetry $A^t_{FB}$ observedat the Tevatron can be explained by the t-channel exchange of a neutral gaugeboson (Z') which has sizable flavor changing coupling for top and up quarks.This gauge boson can also induce the top quark flavor-changing neutral-current(FCNC) decays and the like-sign top pair production at the LHC. In this work wefocus on two models which predict such a Z', namely the left-right model andthe U(1)_X model, to investigate the correlated effects on $A^t_{FB}$, the FCNCdecays $t -> u V$ ($V=g,Z,\gamma$) and the like-sign top pair production at theLHC. We also pay special attention to the most recently measured $A^t_{FB}$ inthe large top pair invariant mass region. We find that under the currentexperimental constraints both models can alleviate the deviation of $A^t_{FB}$and, meanwhile, enhance the like-sign top pair production to the detectablelevel of the LHC. We also find that the two models give different predictionsfor the observables and their correlations, and thus they may even bedistinguished by jointly studying these top quark observables.

Top quark forward-backward asymmetry, FCNC decays and like-sign pair production as a joint probe of new physics