Renormalization of mixing angles and computation of the hadronic $W$ decay widths
Authors
Simonas Draukšas
Abstract
We compute the 1-loop hadronic $W$-boson decay widths in the Standard Model with different renormalization schemes of the quark mixing matrix found in the literature. Importantly, we provide the first numerical results for a variant of the On-Shell scheme which does not require mixing matrix counterterms at all, i.e. $δV=0$. The scheme is based on the fact that one can always choose a basis in which there are no mixing matrices (angles) and, therefore, the corresponding counterterms are superfluous. For full consistency, the principles of this scheme are employed both for the quark mixing matrix and for the Weinberg angle.
