Geodesic
Bifurcation sets of extended Higgs potential
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2013), pp. 173-183.

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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, Groebner basis.
Mots-clés : Universe evolution, phase transition 
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M. V. Dolgopolov; S. P. Zavodov; E. Yu. Petrova. Bifurcation sets of extended Higgs potential. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2013), pp. 173-183. http://geodesic.mathdoc.fr/item/VSGTU_2013_4_a14/

[1] G. Kane, Modern Elementary Particle Physics, Addison-Wesley Publ. Co., New York, Amsterdam, Madrid, Paris, 1993, xv+352 pp.; G. Kein, Sovremennaya fizika elementarnykh chastits, Mir, M., 1990, 360 pp.

[2] M. Peskin, D. Schroeder, An introduction to quantum field theory, Addison-Wesley Publ. Co., New York, Amsterdam, Madrid, Paris, 1995, xxii+842 pp. ; M. Peskin, D. Shrëder, Vvedenie v kvantovuyu teoriyu polya, NITs RKhD, Izhevsk, 2001, 784 pp. | MR

[3] CMS Collaboration, “Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC”, Phys. Lett. B, 716:1 (2012), 30–61, arXiv: [hep-ex] 1207.7235 | DOI

[4] ATLAS Collaboration, “Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC”, Phys. Lett. B, 716:1 (2012), 1–29, arXiv: [hep-ex] 1207.7214 | DOI

[5] E. N. Akhmetzyanova, M. V. Dolgopolov, M. N. Dubinin, “Violation of CP invariance in the two-doublet higgs sector of the MSSM”, Phys. Part. Nuclei, 37:5 (2006), 677–734 | DOI

[6] M. Dolgopolov, M. Dubinin, E. Rykova, “Threshold corrections to the MSSM finite-temperature Higgs potential”, J. Mod. Phys., 2 (2011), 301–322, arXiv: [hep-ph] 0901.0524 | DOI

[7] A. Borisov, M. Dolgopolov, M. Dubinin, Self-energy corrections to the MSSM finite-temperature Higgs potential PoS(QFTHEP2011)052

[8] E. Akhmetzyanova, M. Dolgopolov, M. Dubinin, “Higgs bosons in the two-doublet model with CP violation”, Phys. Rev. D, 71:7 (2005), 075008, 24 pp., arXiv: hep-ph/0405264 | DOI

[9] R. Gilmore, Catastrophe theory for scientists and engineers, v. 1, Mir, Moscow, 1984, 350 pp. | Zbl

[10] T. Poston, I. Stewart, Catastrophe theory and its applications, Mir, Moscow, 1980, 608 pp. | MR | Zbl

[11] M. Dolgopolov, M. Dubinin, I. Erofeev, E. Rykova, Threshold corrections to the MSSM effective Higgs potential: gaugino and higgsino contributions PoS(QFTHEP2011)068

[12] I. V. Arzhantsev, Groebner Bases and Systems of Algebraic Equations, Moscow, 2003, 68 pp. | Zbl