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}θ_{W} = 1 / 4, where θ_{W} is the weak mixing angle at the energy scale set by the monopole mass. A leadingorder renormalizationgroup analysis yields the value of sin^{2}θ_{W} ≃ 0.231 at the Zboson mass, as measured by experiment, under suitable conditions on the spectrum of the extra particles in the model.
 Publication:

Nuclear Physics B
 Pub Date:
 August 2021
 DOI:
 10.1016/j.nuclphysb.2021.115468
 arXiv:
 arXiv:2008.00464
 Bibcode:
 2021NuPhB.96915468E
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 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