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Spin correlations in the t-channel single top quark production and itssubsequent decay are investigated for the case of contributions involvinganomalous Wtb couplings. We obtain analytical expressions for the differentialwidths for the three-particle decay of a polarized t quark in its rest frameand also expressions for the differential cross sections of the full process ofproduction and decay of the t quark ($2\to 4$) as a function of the energy of acharged lepton and two angles of orientation of the quantization axis of thet-quark spin. The expression is presented in the most general form for the caseof real and imaginary vector and tensor anomalous Wtb couplings. We show thatshapes of certain multidimensional kinematic distributions of final stateparticles are significantly different for the contributions proportional todifferent combinations of the anomalous couplings. The most noticeabledifferences appear in the shape of the surfaces of two-dimensionaldistributions, where one of the variables is the energy of a charged lepton andthe other is one of the t-quark spin orientation angles. Observed propertiesare confirmed by two methods of computations either from the obtained symbolicexpression for the differential cross sections of the full process of thepolarized single top quark production with its subsequent decay or by means ofthe CompHEP program for the complete process involving the t-channel singletop. In addition, using the obtained analytical expressions, we estimate thestatistical accuracy of extracting values of the anomalous Wtb couplings fordifferent levels of the expected integral luminosity at the LHC.

physical review. d/physical review. d.

Symbolic expressions for fully differential single top quark production  cross section and decay width of polarized top quark in the presence of  anomalous Wtb couplings