Non-perturbative approach to the problem of anomalous FB asymmetry in top pair production at TEVATRON

Abstract

We apply Bogoliubov compensation principle to the problem of forward-backward asymmetry in $t\bar{t}$ production at TEVATRON. The non-trivial solution of compensation equation for anomalous four-fermion interaction effective interaction of doublets of heavy and light quarks leads to possibility of existence of $\bar{t}u,\bar{b}d$ vector bound states (resonance). The coupling of the bound state to $\bar{t},u$ pair is calculated. With this result we obtain satisfactory description of totality of data on the effect of FB asymmetry including slope of effect dependence on invariant $t\bar{t}$ mass. Predictions for the resonance mass and production cross-section at LHC are presented.

Comments: 9 pages, 4 figures