Electroweak and finite width corrections to top quark decays into transverse and longitudinal $W$-bosons

We calculate the electroweak and finite width corrections to the decay of an unpolarized top quark into a bottom quark and a $W$-gauge boson where the helicities of the $W$ are specified as longitudinal, transverse-plus and transverse-minus. Together with the $O(α_s)$ corrections these corrections may become relevant for the determination of the mass of the top quark through angular decay measurements.

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