Abstract
We calculate the b-dependent self-energy of the top quark at O(g^2 α_s) by using a general massive two-loop algorithm proposed in a previous article. From this we derive by unitarity the O(α_s) radiative corrections to the decay width of the top quark, where all effects associated with the quark mass are included without resorting to a mass expansion. Our results agree with the analytical results available for the O(α_s) correction to the top quark width.
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