We compute the renormalization of the complete CKM matrix in the MSbar scheme and perform
a renormalization group analysis of the CKM parameters. The calculation is simplified by
studying only the Higgs sector, which for the \beta-function
of the CKM matrix is at one loop the same as in the full Standard Model.
The renormalization group flow including QCD corrections
can be computed analytically
using the hierarchy of the CKM parameters and the large mass
differences between the quarks. While the evolution of
the Cabibbo angle is tiny
V_{ub} and V_{cb} increase sizably.
We compare our results with the ones in the full Standard Model.
