2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187087By use of the one-loop renormalization group equations and current experimental data, we study the off-diagonal asymmetries of the Cabibbo-Kobayashi-Maskawa (CKM) matrix at the GUT scale in the framework of the standard model as well as its two Higgs and supersymmetric extensions. It is concluded that the possibility of a symmetric CKM matrix at the GUT scale has almost been ruled out.Latex 6 pages plus PS 2 pages. This tiny work would not have been put into this archive if I had not noticed an interesting work by P. Kielanowski et al (hep-ph/9703292), whose conclusion seems to be opposite to mine. (Accepted for publication in J. Phys. G)High Energy Physics - Phenomenologytext