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TMF, 2015, Volume 184, Number 2, Pages 315–337 (Mi tmf8814)  

This article is cited in 5 scientific papers (total in 5 papers)

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

M. N. Dubinina, E. Yu. Petrovab

a 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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation НШ-3042.2014.2


DOI: https://doi.org/10.4213/tmf8814

Full text: PDF file (880 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 184:2, 1170–1188

Bibliographic databases:

Document Type: Article
Received: 08.11.2014
Revised: 16.02.2015

Citation: M. N. Dubinin, E. Yu. Petrova, “High-temperature Higgs potential of the two-doublet model in catastrophe theory”, TMF, 184:2 (2015), 315–337; Theoret. and Math. Phys., 184:2 (2015), 1170–1188

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. N. Dubinin, E. Yu. Petrova, “Simplified parametric scenarios of the Minimal Supersymmetric Standard Model after the discovery of the Higgs boson”, Phys. Atom. Nuclei, 79:4 (2016), 488–500  crossref  isi  elib  scopus
    2. M. V. Dolgopolov, A. V. Gurskaya, E. N. Rykova, “Finite-temperature Higgs potentials”, 19th International Seminar on High Energy Physics (Quarks-2016), EPJ Web Conf., 125, eds. V. Andrianov, V. Matveev, V. Rubakov, V. Kim, A. Andrianov, M. Fitkevich, EDP Sciences, 2016, UNSP 02006  crossref  isi  scopus
    3. A. V. Gurskaya, M. V. Dolgopolov, “The Higgs bosons decays in the NMSSM with CP-violation”, 19th International Seminar on High Energy Physics (Quarks-2016), EPJ Web Conf., 125, eds. V. Andrianov, V. Matveev, V. Rubakov, V. Kim, A. Andrianov, M. Fitkevich, EDP Sciences, 2016, UNSP 02011  crossref  isi  scopus
    4. M. N. Dubinin, E. Yu. Petrova, E. O. Pozdeeva, M. V. Sumin, S. Yu. Vernov, “MSSM-inspired multifield inflation”, J. High Energy Phys., 2017, no. 12, 036  crossref  mathscinet  isi  scopus
    5. A. V. Gurskaya, M. V. Dolgopolov, E. N. Rykova, “Higgs bosons in standard model extensions”, Phys. Part. Nuclei, 48:5 (2017), 822–826  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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