CPviolating asymmetries in single top quark production at the Fermilab Tevatronpp¯collider

Analytic expressions for the angular distributions of the b quarks associated with single t-quark production in $p\overline{p}\to W^{*}\to t\overline{b}\to b\overline{b}W$ and of the leptons from the subsequent decay $\overrightarrow{W}l\nu$ are obtained in the laboratory system. $\mathrm{CP}$ violation in the t-production vertex is assumed. Different angular and total cross section $\mathrm{CP}$ violating asymmetries are considered. Relations testing $\mathrm{CP}$ violation in the t-decay vertex are also given. A numerical analysis is performed in the minimal supersymmetric standard model with a $\mathrm{CP}$ violating phase of the trilinear coupling $A_{\tilde{t}}.$ The asymmetries are typically of the order of ${10}^{-3}-{10}^{-4}.$