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High-temperature Higgs potential of the two-doublet model in catastrophe theory

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Abstract

We consider the general case of the temperature evolution of the two-doublet Higgs potential of the minimal supersymmetric standard model when vacuum condensates of the Higgs doublets arbitrarily propagate along the equilibrium surface (or along the extremum surface) passing through bifurcation domains. In the framework of catastrophe theory, the two-doublet Higgs potential of the minimal supersymmetric standard model is a special case of a gradient system potential. We obtain nonlinear transformations of the vacuum condensates of this model, which reduce the two-doublet potential to a canonical form, and catastrophe functions of types A3 and A5 corresponding to an electroweak first-order phase transition in the considered model.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia

    M. N. Dubinin

  2. Physics Faculty, Lomonosov Moscow State University, Moscow, Russia

    E. Yu. Petrova

Authors
  1. M. N. Dubinin
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  2. E. Yu. Petrova
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Correspondence to M. N. Dubinin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 184, No. 2, pp. 315–337, August, 2015.

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Dubinin, M.N., Petrova, E.Y. High-temperature Higgs potential of the two-doublet model in catastrophe theory. Theor Math Phys 184, 1170–1188 (2015). https://doi.org/10.1007/s11232-015-0325-8

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