Forward-Backward Asymmetry of Top Quark Pair Production

We adopt a Markov Chain Monte Carlo method to examine various new physics models which can generate the forward-backward asymmetry in top quark pair production observed at the Tevatron by the CDF Collaboration. We study the following new physics models: (1) exotic gluon $G^\prime$, (2) extra $Z^\prime$ boson with flavor-conserving interaction, (3) extra $Z^\prime$ with flavor-violating $u$-$t$-$Z^\prime$ interaction, (4) extra $W^\prime$ with flavor-violating $d$-$t$-$W^\prime$ interaction, and (5) extra scalars $S$ and $S^\pm$ with flavor-violating $u$-$t$-$S$ and $d$-$t$-$S^\pm$ interactions. After combining the forward-backward asymmetry with the measurement of the top pair production cross section and the $t\bar{t}$ invariant mass distribution at the Tevatron, we find that an axial vector exotic gluon $G^\prime$ of mass about $1 {\rm TeV}$ or $2 {\rm TeV}$ or a $W^\prime$ of mass about $2 {\rm TeV}$ offer an improvement over the Standard Model. The other models considered do not fit the data significantly better than the Standard Model. We also emphasize a few points which have been long ignored in the literature for new physics searches: (1) heavy resonance width effects, (2) renormalization scale dependence, and (3) NLO corrections to the $t\bar{t}$ invariant mass spectrum. We argue that these three effects are crucial to test or exclude new physics effects in the top quark pair asymmetry.