An Electroweak Oscillon

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.

6 pages, 2 .eps figures, uses revtex4; v2: expanded numerical section, fixed minor errors, various improvements to presentation; v3: fixed typos; v4: fixed typos (most introduced in v2); v5: fixed typo in unit conversion; v6: fix overall scaling factor for energy

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