×

zbMATH — the first resource for mathematics

Bifurcation sets of extended Higgs potential. (Russian. English summary) Zbl 1413.81031
Summary: 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 \(A\), \(\mu\), \(\mathrm{tg} \beta\). The sets of model parameters at which the system undergoes a bifurcation are obtained.
MSC:
81T10 Model quantum field theories
PDF BibTeX XML Cite
Full Text: DOI MNR
References:
[1] [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] [2] M. Peskin, D. Schroeder, An introduction to quantum field theory, Addison-Wesley Publ. Co., New York, Amsterdam, Madrid, Paris, 1995, xxii+842 pp.
[3] [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:
[4] [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:
[5] [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
[6] [6] M. Dolgopolov, M. Dubinin, E. Rykova, “Threshold corrections to the MSSM finite-temperature Higgs potential”, J. Mod. Phys., 2 (2011), 301-322, arXiv:
[7] [7] A. Borisov, M. Dolgopolov, M. Dubinin, Self-energy corrections to the MSSM finite-temperature Higgs potential
[8] [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:
[9] [9] R. Gilmore, Catastrophe theory for scientists and engineers, v. 1, Mir, Moscow, 1984, 350 pp. · Zbl 0597.58001
[10] [10] T. Poston, I. Stewart, Catastrophe theory and its applications, Mir, Moscow, 1980, 608 pp. · Zbl 0548.58007
[11] [11] M. Dolgopolov, M. Dubinin, I. Erofeev, E. Rykova, Threshold corrections to the MSSM effective Higgs potential: gaugino and higgsino contributions
[12] [12] I. V. Arzhantsev, Groebner Bases and Systems of Algebraic Equations, Moscow, 2003, 68 pp. · Zbl 1220.13020
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.