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The impact of anomalousWtb couplings on tWb process of the single top quark production has been probed in different schemes of tWb modeling. A special attention devotes to influence of the particular schemes to the anomalous couplings sensitivity. The distributions of representative variables demonstrate different behaviour in different simulation schemes, therefore the correct probe for anomalous Wtb couplings require specific approach to simulate BSM contribution. Special approach to search for BSM contribution in the off-shell tWb process is proposed in this paper. The approach is based on the kinematic separation of the double and single resonant contributions by means of neural network. The specific BSM properties are considered separately for the double and single resonant events. Such approach allows to add information on the anomalous Wtb coupling from simultaneous consideration of the t¯t (double resonant) and tWb (off-shell, single resonant) contribution of tWb processes and therefore can improve the sensitivity to the anomalous Wtb couplings.