Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM

Maniatis M, von Manteuffel A, Nachtmann O (2007)
European Physical Journal C 49(4): 1067-1076.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Maniatis, MarkosUniBi; von Manteuffel, A.; Nachtmann, O.
Abstract / Bemerkung
Determining the global minimum of Higgs potentials with several Higgs fields like the next-to-minimal supersymmetric extension of the standard model (NMSSM) is a non-trivial task already at the tree level. The global minimum of a Higgs potential can be found from the set of all its stationary points defined by a multivariate polynomial system of equations. We introduce here the algebraic Groebner basis approach to solve this system of equations. We apply the method to the NMSSM with CP-conserving as well as CP-violating parameters. The results reveal an interesting stationary-point structure of the potential. Requiring the global minimum to give the electroweak symmetry breaking observed in Nature excludes large parts of the parameter space.
Erscheinungsjahr
2007
Zeitschriftentitel
European Physical Journal C
Band
49
Ausgabe
4
Seite(n)
1067-1076
ISSN
1434-6044
eISSN
1434-6052
Page URI
https://pub.uni-bielefeld.de/record/2375808

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Maniatis M, von Manteuffel A, Nachtmann O. Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. European Physical Journal C. 2007;49(4):1067-1076.
Maniatis, M., von Manteuffel, A., & Nachtmann, O. (2007). Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. European Physical Journal C, 49(4), 1067-1076. https://doi.org/10.1140/epjc/s10052-006-0186-2
Maniatis, M., von Manteuffel, A., and Nachtmann, O. (2007). Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. European Physical Journal C 49, 1067-1076.
Maniatis, M., von Manteuffel, A., & Nachtmann, O., 2007. Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. European Physical Journal C, 49(4), p 1067-1076.
M. Maniatis, A. von Manteuffel, and O. Nachtmann, “Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM”, European Physical Journal C, vol. 49, 2007, pp. 1067-1076.
Maniatis, M., von Manteuffel, A., Nachtmann, O.: Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. European Physical Journal C. 49, 1067-1076 (2007).
Maniatis, Markos, von Manteuffel, A., and Nachtmann, O. “Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM”. European Physical Journal C 49.4 (2007): 1067-1076.

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