Forward-backward asymmetry and the differential cross section of the top quark in the flavor violating Z′ model at O(αS2αX)

In this paper, forward-backward asymmetry and differential cross section of top quark in flavor violating Z' model up to O(alpha(2)(S)alpha(X))X at Tevatron are calculated. In order to account for the top observed large forward-backward asymmetry, the new coupling g(X) among Z' and quarks will be not much less than strong coupling constant g(S). After including the new higher order correction, the differential cross section can fit the data better than those only including the leading contributions from Z', while the forward-backward asymmetry is still in agreement with the measurement.