2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/48839The standard model extended with the pairs of the vector-like families is studied. The model independent analysis for an arbitrary case and an explicit realization for the case with one pair of the heavy vector-like families are considered. The mixing matrices of the light quarks for the left- and right-handed charged currents, as well as those for the flavour changing neutral currents, both the Z and Higgs mediated, are found.12 pages, LaTeX; a typo correctedHigh Energy Physics - Phenomenologytext