Low-energy sector of 8-dimensional General Relativity: Electro-Weak model and neutrino mass

Abstract

In a Kaluza-Klein space-time $V^4\otimes S^3$, we demonstrate that the dimensional reduction of spinors provides a 4-field, whose associated SU(2) gauge connections are geometrized. However, additional and gauge-violating terms arise, but they are highly suppressed by a factor $\beta$, which fixes the amount of the spinor dependence on extra-coordinates. The application of this framework to the Electro-Weak model is performed, thus giving a lower bound for $\beta$ from the request of the electric charge conservation. Moreover, we emphasize that also the Higgs sector can be reproduced, but neutrino masses are predicted and the fine-tuning on the Higgs parameters can be explained, too.

14 pages, 1 figure, to appear on Int. J. Mod. Phys. D

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