This article is cited in 6 papers

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

M. N. Dubinin^a, E. Yu. Petrova<sup>b

a</sup> Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
^b Physics Faculty, Lomonosov Moscow State University, Moscow, Russia

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{\rm)} 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 $A_3$ and $A_5$ corresponding to an electroweak first-order phase transition in the considered model.

Keywords: two-doublet model, minimal supersymmetric standard model, finite-temperature Higgs potential, electroweak phase transition, canonical forms of catastrophe theory.

Received: 08.11.2014
Revised: 16.02.2015

DOI: 10.4213/tmf8814

 English version: Theoretical and Mathematical Physics, 2015, 184:2, 1170–1188

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