Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-06-05
NuovoCim.A109:1535,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages, LaTeX style
Scientific paper
10.1007/BF02778238
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 (see astro-ph/9706012). Only bootstrap equations can provide us with an explanation on the existence of only three fermion families. This theory contains three light and three heavy Majorana leptons of cosmologically acceptable masses(hot and cold dark matter particles). The lightest of heavy neutrinos (mass of 0.5 TeV) has probably been observed at TEVATRON(very rare events, because of the see-saw suppress., with large missing energy in the lepton sector cited in P.R.L.77(1996)3506 and P.R.L.76(1996)3494;3498). On the other hand, one can expect the non-resonant and universal enhancement of probabilities starting in the vicinity of the weak scale for perturbative QCD, as the effect of the UV cut-off, and this is observed at TEVATRON (P.R.L.77(1996)438 and HERA(Z.Phys.C74(1997)191;207). This theory is cosmol. favourable because of the broken lepton number, necessary to explain lepto(baryo)genesis.
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