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

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.