System of excited monopole-antimonopole pair in the Weinberg-Salam model

TL;DR

This paper explores the properties of monopole-antimonopole pairs in the Weinberg-Salam model, revealing their energy range, oscillatory behavior, and magnetic charge through extensive numerical analysis.

Contribution

It introduces a novel data sampling method to analyze 300 solutions, providing new insights into the energy, magnetic charge, and oscillatory patterns of monopole-antimonopole pairs.

Findings

Energy range: 13.1690 - 21.0221 TeV

Magnetic charge: ±(4π/e)sin²θ_W

Evidence of oscillatory behavior in the system

Abstract

We investigate further the properties of axially symmetric monopole-antimonopole pair in the standard Weinberg-Salam model. By using a novel data sampling approach, we have obtained and analyzed 300 numerical solutions corresponding to physical Higgs self-coupling $\beta=0.7782$ and the Weinberg angle $\tan\theta_W=0.5358$. We calculate the energy of these solutions and confirm that they reside in a range of 13.1690 - 21.0221 TeV. In addition, a unique pattern is shown when the data are arranged according to an algorithm based on the system's symmetry, which seems to indicate the system is oscillating. We also calculate numerically the magnetic charge of the solutions and confirm that their values are indeed $\pm\frac{4\pi}{e}\sin^2\theta_W$.