Forward-backward asymmetry and differential cross section of top quark in flavor violating $Z^{\prime }$ model at $\mathcal{O}({\alpha }_s^2{\alpha }_X)$

Abstract

In this paper, forward-backward asymmetry and differential cross section of top quark in flavor violating $Z^{\prime }$ model up to $\mathcal{O}({\alpha }_s^2{\alpha }_X)$ at Tevatron are calculated. In order to account for the top observed large forward-backward asymmetry, the new coupling $g_X$ among $Z^{\prime }$ 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 $Z^{\prime }$, while the forward-backward asymmetry is still in agreement with the measurement.

Comments: 14 pages, 8 figures, 2 tables, published version