Multisphalerons in the Weinberg-Salam theory

We construct multisphaleron solutions in the Weinberg-Salam theory. The multisphaleron solutions carry Chern-Simons charge n/2, where n is an integer, counting the winding of the fields in the azimuthal angle. The well-known sphaleron has n=1. The multisphalerons possess axial symmetry and parity reflection symmetry. We vary the Higgs boson mass and the mixing angle. For small n the energies of the multisphalerons are on the order of n times the energy of the sphaleron and their magnetic dipole moments are on the order of n times the magnetic dipole moment of the sphaleron.

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