First mass determination of electroweak vortex rings in the Standard Model

TL;DR

This paper precisely measures the mass of electroweak vortex rings in the Standard Model, revealing their structure, interactions, and potential observability at future colliders.

Contribution

It provides the first rigorous evaluation of electroweak vortex ring masses and analyzes their internal structure and stability mechanisms.

Findings

Masses of vortex rings are 18.01 and 26.80 TeV.

Repulsive interactions influence the geometry of vortex rings.

Complex current distributions suggest a self-stabilizing pinch mechanism.

Abstract

We report the first rigorous evaluation of the physical mass of electroweak vortex rings, establishing precise values of 18.01 and 26.80 TeV for solutions characterized by different winding numbers. Analysis of the internal structure reveals that repulsive interactions shape the geometry of these configurations, while complex current distributions lead to a neutral analogue of Ampere's circuital law, suggesting a corresponding self-stabilizing pinch mechanism. These findings set the energy scales for the potential observation of such configurations at future colliders and offer a framework for understanding topological structures in the Standard Model.