An Electroweak Oscillon

TL;DR

This paper demonstrates that oscillon solutions, previously found in simplified SU(2) models, also exist and remain stable in the full electroweak Standard Model in 3+1 dimensions, with localized energy around 30 TeV.

Contribution

It extends prior work by numerically simulating the full electroweak theory without symmetry assumptions, confirming oscillon stability in a more realistic setting.

Findings

Oscillon solutions persist in the full electroweak model.

The energy of the oscillon is approximately 30 TeV.

The oscillon is localized within a radius of about 0.05 fm.

Abstract

A recent study demonstrated the existence of oscillons -- extremely long-lived localized configurations that undergo regular oscillations in time -- in spontaneously broken SU(2) gauge theory with a fundamental Higgs particle whose mass is twice the mass of the gauge bosons. This analysis was carried out in a spherically symmetric ansatz invariant under combined spatial and isospin rotations. We extend this result by considering a numerical simulation of the the full bosonic sector of the $SU(2)\times U(1)$ electroweak Standard Model in 3+1 dimensions, with no assumption of rotational symmetry, for a Higgs mass equal to twice the $W^\pm$ boson mass. Within the limits of this numerical simulation, we find that the oscillon solution from the pure SU(2) theory is modified but remains stable in the full electroweak theory. The observed oscillon solution contains total energy approximately 30 TeV localized in a region of radius approximately 0.05 fm.