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

European Physical Journal C

Volumn 49, Issue 4, 2007, Pages 1067-1076

  Maniatis, M ^a   Von Manteuffel, A ^a   Nachtmann, O ^a  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847618399     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-006-0186-2     Document Type: Article

References (17)

1. P. Fayet, Nucl. Phys. B 90, 104 (1975)
2. M. Drees, Int. J.Mod. Phys. A 4, 3635 (1989)
3. J.R. Ellis, J.F. Gunion, H.E. Haber, L. Roszkowski, F. Zwirner, Phys. Rev. D 39, 844 (1989) and other references quoted therein
4. F. Nagel, New aspects of gauge-boson couplings and the Higgs sector, PhD-thesis, Heidelberg University (2004)
5. M. Maniatis, A. von Manteuffel, O. Nachtmann, F. Nagel, hep-ph/0605184, to be published in Eur. Phys. J. C
6. B. Buchberger, Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, PhD-thesis, University Innsbruck (1965)
7. T. Becker, V. Weispfenning, Gröbner Bases (Springer, New York, 1993)
8. N.K. Bose, J.P. Guiver, E.W. Kamen, H.M. Valenzuela, B. Buchberger, D. Reidel, Multidimensional Systems Theory, Progress, Directions and Open Problems in Multidimensional Systems (Publishing Company, 1985)
9. G.M. Greuel, G. Pfister, H. Schoenemann, SINGULAR - A Computer Algebra System for Polynomial Computations, in: Symbolic Computation and Automated Reasoning, ed. by M. Kerber, M. Kohlhase, The Calculemus-2000 Symposium (2001) 227; SINGULAR is available at http://www.singular.uni-kl.de
10. U. Ellwanger, J.F. Gunion, C. Hugonie, JHEP 0502, 066 (2005) [hep-ph/0406215]
11. D.J. Miller, R. Nevzorov, P.M. Zerwas, Nucl. Phys. B 681, 3 (2004) [hep-ph/0304049]
12. K. Funakubo, S. Tao, Prog. Theor. Phys. 113, 821 (2005) [hep-ph/0409294]
13. J.-C. Faugère, J. Pure. Appl. Algebra 139, 61 (1999)
14. J.-C. Faugère, P. Gianni, D. Lazard, T. Mora, J. Symb. Comput. 16, 329 (1993)
15. H.M. Moeller, Appl. Algebr. Eng. Commun. 4, 217 (1993)
16. D. Hillebrand, Triangulierung nulldimensionaler Ideale - Implementierung und Vergleich zweier Algorithmen, PhD-thesis, University Dortmund (1999)
17. R. Fletcher, Practical Methods of Optimization, 2nd Ed. (Wiley, Chichester, New York, 1987)