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We compute the renormalization of the complete CKM matrix in the M S scheme and perform a renormalization group analysis of the CKM parameters. The calculation is simplified by studying only the Higgs sector, which for the β 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 thedoi:10.1007/s100529900040 fatcat:3b4dscyn5fccphg2dxfvi6xwn4