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Electroweak Monopole-antimonopole Pair in the Standard Model

High Energy Physics - Phenomenology 2023-12-12 v4 High Energy Physics - Theory

Abstract

We present the first numerical solution that corresponds to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)×\timesU(1) Weinberg-Salam (WS) theory. The monopoles are finitely separated, while each pole carries magnetic charge ±4π/e\pm 4\pi/e. The positive pole is situated in the upper hemisphere, whereas the negative pole is in the lower hemisphere. The Cho-Maison MAP was investigated for a range of Weinberg angle, 0.4675tanθW100.4675\leq\tan\theta_W\leq10, and Higgs self-coupling, 0β1.77040\leq\beta\leq1.7704. Magnetic dipole moment (μm\mu_m) and pole separation (dzd_z) of the numerical solutions are calculated and analyzed. Total energy of the system, however, is infinite due to point singularities at the locations of monopoles.

Keywords

Cite

@article{arxiv.2211.11992,
  title  = {Electroweak Monopole-antimonopole Pair in the Standard Model},
  author = {Dan Zhu and Khai-Ming Wong and Guo-Quan Wong},
  journal= {arXiv preprint arXiv:2211.11992},
  year   = {2023}
}
R2 v1 2026-06-28T06:26:08.463Z