Numerical Simulation of an Electroweak Oscillon

TL;DR

This paper reports the numerical discovery of a long-lived, localized oscillatory solution called an oscillon in the electroweak sector of the Standard Model, with specific mass conditions and energy localization.

Contribution

It provides the first detailed numerical simulation demonstrating the existence of an electroweak oscillon in 3+1 dimensions under particular mass conditions.

Findings

Oscillon exists when Higgs mass is twice the W boson mass.

Contains approximately 30 TeV of energy localized in 0.05 fm radius.

Demonstrates long-lived, localized oscillatory behavior in electroweak theory.

Abstract

Numerical simulations of the bosonic sector of the $SU(2)\times U(1)$ electroweak Standard Model in 3+1 dimensions have demonstrated the existence of an oscillon -- an extremely long-lived, localized, oscillatory solution to the equations of motion -- when the Higgs mass is equal to twice the $W^\pm$ boson mass. It contains total energy roughly 30 TeV localized in a region of radius 0.05 fm. A detailed description of these numerical results is presented.