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We investigate the potential (small) deviations from the unitarity of themixing matrix that are expected to occur, because of mass splittings, in theQuantum Field Theory of non-degenerate coupled systems. We extend our previousanalysis concerning mixing angles, which led to a precise determination of theCabibbo angle, to the case of three generations of fermions. We show that thesame condition for neutral currents of mass eigenstates, i.e. that universalityof diagonal currents is violated with the same strength as the absence ofnon-diagonal ones, is satisfied: on one hand, by the three CKM mixing angleswith a precision higher than the experimental uncertainty; on the other hand,by a neutrino-like mixing pattern in which theta_{23} is maximal, and tan (2theta_{12})=2. This last pattern turns out to satisfy exactly the "quark-leptoncomplementarity condition" theta_c + theta_{12}= pi/4. Moreover, among allsolutions, two values for the third neutrino mixing angle arise which satisfythe bound sin^2(theta_{13}) < 0.1: theta_{13} = +/- 5.7 10^{-3} and theta_{13}= +/- 0.2717. The so-called "Neighborhood of the Standard Model" is thusconfirmed to exhibit special patterns which presumably originate in physics"Beyond the Standard Model".

The neighborhood of the Standard Model: mixing angles and quark-lepton complementarity for three generations of non-degenerate coupled fermions