Sphaleron-Bisphaleron bifurcations in a custodial-symmetric two-doublets model

Abstract

The standard electroweak model is extended by means of a second Brout-Englert-Higgs-doublet. The symmetry breaking potential is chosen is such a way that (i) the Lagrangian possesses a custodial symmetry, (ii) a static, spherically symmetric ansatz of the bosonic fields consistently reduces the Euler-Lagrange equations to a set of differential equations. The potential involves, in particular, products of fields of the two doublets, with a coupling constant ${\lambda }_3$.Static, finite energy solutions of the classical equations are constructed. The regular, non-trivial solutions having the lowest classical energy can be of two types: sphaleron or bisphaleron, according to the coupling constants. A special emphasis is put to the bifurcation between these two types of solutions which is analyzed in function of the different constants of the model,namely of ${\lambda }_3$.

arXiv comment10 pages, 3 figures

References in corpus (5)

• Electroweak Baryogenesis
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Sphalerons in Two Higgs Doublet Theories
• On Spherically-Symmetric Solutions in the Two-Higgs Standard Model
• Energy barrier in the two-Higgs model

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