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

TL;DR

This paper uses a non-perturbative approach based on the Bogoliubov compensation principle to explain the forward-backward asymmetry in top quark pair production at TEVATRON, predicting a new resonance at LHC.

Contribution

It introduces a novel non-perturbative method to account for anomalous asymmetry and predicts vector bound states affecting top quark production.

Findings

Successful description of FB asymmetry data including mass dependence.

Prediction of a new resonance with specific mass and cross-section at LHC.

Identification of vector bound states of heavy and light quarks.

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.