engleski

On the broken gauge, conformal and discrete symmetries in particle physics

We show that the mathematical consistency of local gauge QFT's with respect to the nonperturbative SU(2) anomaly and ultraviolet singularity requires substantial changes in the Standard Model. We argue that the existence of the Majorana leptons is necessary to remove the SU(2) anomalous action, while the peculiar relation between the Weinberg angle and the Cabibbo-Kobayashi-Maskawa angles, valid for both quarks and leptons separately, should be satisfied: theta_{; ; W}; ; = 2(theta_{; ; 12}; ; +theta_{; ; 23}; ; +theta_{; ; 13}; ; ). The fundamental UV cut-off (d=0.6exp(-16)cm) is fixed by the trace anomaly at the weak interaction scale and it is compatible with the Einstein-Cartan nonsing. cosmology three fermion families. This theory contains three light and three heavy Majorana leptons of cosmologically acceptable masses(hot and cold dark matter particles).

symmetries; particle physics

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