Weak charges in $SU(5)_{L} \times U(1)_{Y}$ gauge models

TL;DR

This paper explores a renormalizable $SU(5)_L imes U(1)_Y$ gauge model that predicts weak charges without exotic electric charges, recovering Standard Model phenomenology while extending the electroweak unification scale.

Contribution

It derives all neutral weak charge operators and their quantization within this model, providing a foundation for new phenomenological predictions.

Findings

All neutral weak charge operators are obtained and quantized.

Standard Model phenomenology is recovered at low energies.

The model predicts new physics at a scale around 10 TeV.

Abstract

Within the framework of a renormalizable $SU(5)_{L} \times U(1)_{Y}$ electro-weak gauge model with no exotic electric charges, we obtain all the neutral weak charge operators and their quantization, once the diagonalization of the neutral boson mass matrix is properly performed. Our results open up the path to a rich and promising phenomenological outcome. All the Standard Model phenomenology is recovered by simply decoupling the latter's scale ($v_{SM}=246$ GeV) from the higher scale ($V\sim$ 10 TeV) specific to our new electro-weak unification.