This article is cited in 3 papers

Theoretical Physics

Bifurcation sets of extended Higgs potential

M. V. Dolgopolov, S. P. Zavodov, E. Yu. Petrova

Samara State University, Samara, 443011, Russia

Abstract: One of the most actual problems in modern particle physics is the problem of the baryon charge evidence in the Universe. In the frameworks of supersymmetric models, phase transitions and catastrophe theory it is possible to describe the baryogenesis. We explored the temperature evolution of Higgs potential with control parameters in the framework of the MSSM, considered the stable minimum conditions and evaluated the area of constrained parameters $A$, $\mu$, $\mathop{\rm tg} \beta$. The sets of model parameters at which the system undergoes a bifurcation are obtained.

Keywords: bifurcation sets of Higgs potential, Universe evolution, phase transition, Groebner basis.

UDC: 517.958:530.145.85

MSC: 81T10

Original article submitted 01/II/2013
revision submitted – 23/VIII/2013

DOI: 10.14498/vsgtu1253

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