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

Abstract

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

arXiv comment48 pages, 10 figures, identical to published version

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• Polarization in (quasi-)two-body decays and new physics
• Parametrizations of the Spin Density Matrix