Stability of Two Doublet Electroweak Strings

Abstract

Vortex solutions in the two Higgs doublet electroweak model are constructed, and their stability to small perturbations is studied. The most general perturbation is decomposed into angular momentum modes, the least stable mode is identified, and the linearised energy change of the vortex under this perturbation is calculated numerically for various choices of parameters, thus determining whether or not the string is stable. It is found that, for realistic values of the Higgs mass and Weinberg angle, the string is unstable.

20 pages (plain tex),DAMTP 93-39

References in corpus (3)

• Detailed Stability Analysis of Electroweak Strings
• Electroweak Baryogenesis with Electroweak Strings
• Metastable Cosmic Strings in Realistic Models

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• Topological Nambu monopole in two Higgs doublet models
• New String Excitations in the Two-Higgs Standard Model
• Vortex Solutions in Two-Higgs-Doublet Systems
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
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• Supersymmetric Electroweak Cosmic Strings
• Stability of the embedded string in the $SU(N)\times U(1)$ Higgs model and its application
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• Asymptotic Stability Analysis for $SU(n)$ Dark Monopoles
• The non-topological $Z^{\prime }$ string in the 331 model and its classical stability