Sphaleron–bisphaleron bifurcations in a custodial-symmetric two-doublets model

DOI10.1088/1751-8113/41/40/405401zbMATH Open1192.81365arXivhep-th/0412276OpenAlexW2058600963MaRDI QIDQ3531265

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Publication date: 21 October 2008

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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 $lambd{a}_3$.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 $lambd{a}_3$.

Full work available at URL: https://arxiv.org/abs/hep-th/0412276

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