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

TL;DR

This paper explores a Kaluza-Klein model of 8-dimensional spacetime to derive the Electro-Weak theory, predicting neutrino masses and explaining Higgs fine-tuning through geometric and dimensional reduction techniques.

Contribution

It demonstrates how dimensional reduction in a specific higher-dimensional spacetime can reproduce the Electro-Weak model, including neutrino masses and Higgs sector features.

Findings

Derived SU(2) gauge connections from geometry.

Predicted neutrino masses within the model.

Provided a lower bound for the parameter β.

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.