  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.
