Non-monopole magnetic solutions in the Weinberg-Salam model

TL;DR

This paper explores finite energy non-monopole magnetic solutions in the Weinberg-Salam model, revealing composite boson states with energies around 1 TeV, significantly lower than monopole predictions, using a variational approach.

Contribution

It introduces a variational method to find simple, low-energy magnetic field configurations with topological flux in the Weinberg-Salam model, expanding understanding of non-monopole solutions.

Findings

Identified magnetic configurations with energies around 1 TeV.

Found solutions representing bound states of W, Z, and Higgs bosons.

Demonstrated these solutions have lower energy than monopole-like particles.

Abstract

The structure of finite energy non-monopole solutions with azimuthal magnetic flux of topological origin is studied in the pure bosonic sector of the Weinberg-Salam model. Applying a variational method we have found simple magnetic field configurations which minimize the energy functional and possess energies of order 1 TeV. Such configurations correspond to composite bound states of W, Z and Higgs bosons with essentially less energy in comparison to monopole like particles supposed to be found at LHC.