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arXiv · 2211.11992

Electroweak Monopole-antimonopole Pair in the Standard Model

Dan Zhu·Khai-Ming Wong·Guo-Quan Wong
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Abstract

We present the first numerical solution that corresponds to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)$\times$U(1) Weinberg-Salam (WS) theory. The monopoles are finitely separated, while each pole carries magnetic charge $\pm 4\pi/e$. 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, $0.4675\leq\tan\theta_W\leq10$, and Higgs self-coupling, $0\leq\beta\leq1.7704$. Magnetic dipole moment ($\mu_m$) and pole separation ($d_z$) 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.

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Dan Zhu, Khai-Ming Wong, Guo-Quan Wong. 2022-11-22. Electroweak Monopole-antimonopole Pair in the Standard Model. https://arxiv.org/abs/2211.11992

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