An Oscillon in the SU(2) Gauged Higgs Model

TL;DR

This paper demonstrates the existence of long-lived oscillons in a simplified SU(2) gauge-Higgs model, revealing potential implications for the Higgs mass in the full electroweak theory.

Contribution

It provides the first numerical evidence of oscillons in the SU(2) gauge-Higgs system at a specific mass ratio, highlighting a possible link to the Higgs mass.

Findings

Oscillons are observed at a Higgs to gauge boson mass ratio of 2:1.

Oscillons exhibit extremely long-lived, regular oscillations.

The phenomenon may indicate a preferred Higgs mass in the full theory.

Abstract

We study classical dynamics in the spherical ansatz for the SU(2) gauge and Higgs fields of the electroweak Standard Model in the absence of fermions and the photon. With the Higgs boson mass equal to twice the gauge boson mass, we numerically demonstrate the existence of oscillons, extremely long-lived localized configurations that undergo regular oscillations in time. We have only seen oscillons in this reduced theory when the masses are in a two-to-one ratio. If a similar phenomenon were to persist in the full theory, it would suggest a preferred value for the Higgs mass.