An Electroweak Monopole, Dirac Quantization and the Weak Mixing Angle

Abstract

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 ${\sin }^2{\theta }_W\simeq 0.231$ at the $Z$-boson mass, as measured by experiment, under suitable conditions on the spectrum of the extra particles in the model.

Amended version, to appear in Nucl. Phys. B, with several diverse arguments supporting the quantization of the weak mixing angle of the extended standard model in the presence of monopoles. References added. No effects on conclusions

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• Field momentum and the reality of the Dirac String
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• Electromagnetic Field Momentum in Theoretical Magnetic Monopole-like Models
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