Using the on-shell scheme and the general linear R-xi gauge we calculate th
e one-loop amplitude W+ -->u(l)(d) over bar (j). In agreement with previous
work, we show that the Cabibbo-Kobayashi-Maskawa (CKM) matrix ought to be
renormalized. We Show holy to renormalize the CKM maths and at the same tim
e, obtain a gauge-independent W decay amplitude.