On Spherically-Symmetric Solutions in the Two-Higgs Standard Model

Abstract

We report the results of a numerical search for non-topological solitons in the two-Higgs standard model, characterized by the non-trivial winding, ${\pi }_3(S^3)$, of the relative phase of the two doublets. In a region of (weak-coupling) parameter space we identify a branch of winding solutions, which are lower in energy than the embedded standard sphaleron and deformed (bi)sphalerons. Contrary, however, to what happens in 2d toy models, these solutions remain unstable even for very large Higgs masses.

11 LaTeX pages including 3 .eps figures

References in corpus (3)

• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Ribbons Around Mexican Hats
• Membranes in the two-Higgs standard model

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