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We provide analytical results for the $O(\alpha_s)$ corrections to thedouble-spin density matrix elements in the reaction $e^+e^-\to t\bar t$. Theseconcern the elements $ll$, $lt$, $ln$, $tt$, $tn$, and $nn$ of the double-spindensity matrix elements where $l,t,n$ stand for longitudinal, transverse andnormal orientations with respect to the beam frame spanned by the electron andthe top quark momentum.

Analytical $O(\alpha_s)$ corrections to the beam frame double-spin density matrix elements of $e^+e^-\to t\bar t$