an:05762045
Zbl 1191.81216
Maniatis, M.; Von Manteuffel, A.; Nachtmann, O.
Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM
EN
Eur. Phys. J. C, Part. Fields 49, No. 4, 1067-1076 (2007).
00265586
2007
j
81V17 13P10
Hoggs potential; Gr??bner bases
Summary: 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.