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Complete angular analysis of polarized top quark decay at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:math>
We calculate the full $O({\ensuremath{\alpha}}_{s})$ radiative corrections to the three spin independent and five spin dependent structure functions that describe the angular decay distribution in the decay of a polarized top quark into a W boson (followed by the decay ${W}^{+}\ensuremath{\rightarrow}{l}^{+}+{\ensuremath{\nu}}_{l}$ or by ${W}^{+}\ensuremath{\rightarrow}\overline{q}+q)$ and a bottom quark. The angular …