2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/48933The extension of the standard model with pairs of the vector-like families is studied. The quark mixing matrices for the left- and right-handed charged currents, as well as those for the flavour changing neutral currents, the Z and Higgs mediated, are found. Both the model independent parametrization for an arbitrary case and an explicit realization for the case with one pair of the heavy vector-like families are presented. The extension opens new prospects for studying deviations from the standard model in the future experiments at high energies.21 pages, LaTeXHigh Energy Physics - PhenomenologyQuark masses and mixings in the standard model with heavy vector-like familiestext