Cho-Maison Monopole-antimonopole Pair in Standard Model

We present numerical solutions corresponding to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)$\times$U(1) Weinberg-Salam (WS) theory, which possess magnetic charge $\pm 4\pi/e$. The system was investigated at physical Weinberg angle, $\tan\theta_W=0.53557042$, while the Higgs self-coupling constant, $0\leq\beta\leq1.7704$ and at physical $\beta=0.77818833$, while $0.4675\leq\tan\theta_W\leq10$. Numerical data was compared with MAP solutions found in the SU(2) Yang-Mills-Higgs (YMH) theory. Magnetic dipole moment ($\mu_m$), pole separation ($d_z$) and Higgs modulus at the origin ($z_0$) of the numerical solutions are calculated and analyzed. A major difference exists between these two types of MAP, where for Cho-Maison MAP, there exists an upper bound ($\beta=1.7704$) after which no solution can be found, a feature not present in the SU(2) MAP configuration