An electroweak monopole, Dirac quantization and the weak mixing angle

We consider an extension of the Standard Model that was proposed recently by one of the current authors (PQH), which admits magnetic monopoles with a mass of order of a few TeV. We impose, in addition to topological quantization in the SU(2) sector of the model, the Dirac Quantization Condition (DQC) required for consistency of the quantum theory of a charged electron in the presence of the monopole. This leads to the prediction sin(2)theta(w) = 1/4, where theta(w) is the weak mixing angle at the energy scale set by the monopole mass. A leading-order renormalization-group analysis yields the value of sin(2)theta(w) similar or equal to 0.231 at the Z-boson mass, as measured by experiment, under suitable conditions on the spectrum of the extra particles in the model. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

The study investigates an extension of the Standard Model allowing for the existence of magnetic monopoles with a mass of a few TeV. By imposing topological and Dirac quantization conditions, a new value for the weak mixing angle is predicted. The research also suggests that under appropriate conditions on the spectrum of additional particles, the experimental value of the weak mixing angle can be reproduced.