Weak charges quantization in $SU(3)_{c} \otimes SU(n)_{L} \otimes U(1)_{Y}$ gauge models

TL;DR

This paper extends previous work to precisely determine weak charge quantization in generalized $SU(3)_c imes SU(n)_L imes U(1)_Y$ models, recovering Standard Model results while exploring higher energy scales.

Contribution

It provides a detailed derivation of weak charge quantization in these models, including a specific boson mass spectrum and Higgs sector parametrization.

Findings

Weak charges are quantized in the model.

Standard Model phenomenology is recovered at low energies.

Higher energy scale ($ ilde{V} o 10$ TeV) is consistent with the model.

Abstract

After proving, in a previous paper, that the electric charge quantization occurs as a natural consequence in renormalizable $SU(3)_c \otimes SU(n)_{L} \otimes U(1)_{Y}$ gauge models, we take here a step further within the same paradigm in order to obtain the precise weak charges quantization. To this end a viable boson mass spectrum yields first, once a proper parametrization in the Higgs sector is employed. Hence, by diagonalizing the neutral bosons mass matrix, the quantized neutral weak charge operators are obtained. The Standard Model phenomenology is entirely recovered, as its scale ($v_{SM}=246$ GeV) is decoupled from the higher scale ($V\sim$ 10 TeV) specific to our generalized electro-weak unification.