CP violating angular asymmetries of b and b ¯ quarks in e + e − → t t ¯

We obtain analytical formulas for the cross section and the angular distributions of the $b(\overline{b})$ quarks in the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}t\overline{t},$ with $\stackrel{\ensuremath{\rightarrow}}{t}{W}^{+}b$ $(\overline{t}\ensuremath{\rightarrow}{W}^{\ensuremath{-}}\overline{b})$ assuming $\mathrm{CP}$ violation in the $\ensuremath{\gamma}t\overline{t}$ and $\mathrm{Zt}\overline{t}$ vertices. We present $\mathrm{CP}$ violating asymmetries which measure separately the real and imaginary parts of the electroweak dipole moment form factors of the top quark, ${d}^{\ensuremath{\gamma}}(s)$ and ${d}^{\mathrm{Z}}(s).$ We give a numerical analysis of these asymmetries within the minimal supersymmetric standard model with complex parameters. They turn out to be of order $\ensuremath{\lesssim}{10}^{\ensuremath{-}3}.$