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Аннотация:Modeling of the pair and single top quark production are discussed in the context of searchesfor the anomalous W tb couplings. For the simulation of the anomalous W tb couplings in the top quarkproduction and/or decay, the Subsidiary Fields method allows to generate a minimal number of eventsamples to cover all possible values of the couplings. In the paper the Subsidiary Fields method isapplied to simulate the full tt̄ + tW process with tW b final state including the subsequent top quark andW boson decays. Correctness of the differential cross sections for arbitrary values of the W tb couplings isdemonstrated.