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Hierarchy of interactions and mass relations in asymptotically free E6 model of unified interactions
Authors:OK Kalashnikov  SE Konstein
Institution:P.N. Lebedev Physical Institute, USSR Academy of Sciences, Moscow, USSR
Abstract:The hierarchy of gauge interactions within the E6 model is proved, and the vector and spinor field masses are obtained. The mass spectrum of the charged W-bosons is found, and the mass scale is fixed so that the mass of the lightest of them is about 70 GeV. The lepton spectroscopy is studied and a new charged lepton, with mass of order 4–8 GeV is predicted. For the low-energy phenomenology, the model may be considered as a theory of 6 flavoured quarks and 4 charged leptons, each with its neutrino. Being 4-component the neutrinos are massive except for the νe (mνe = 0, exactly) and νμ (mνμ ≈ 0, approximately) particles. The problem of the “superfluous” particles which as a rule accompanies the asymptotic freedom in such theories is also briefly discussed.
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