| Title | Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM. |
| Author(s) | M., A. Von Manteuffel, O. Nachtmann |
| Type | Article in Journal |
| Abstract | 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. |
| ISSN | 1434-6044; 1434-6052/e |
| URL |
http://link.springer.com/article/10.1140%2Fepjc%2Fs10052-006-0186-2 |
| Language | English |
| Journal | Eur. Phys. J. C, Part. Fields |
| Volume | 49 |
| Number | 4 |
| Pages | 1067--1076 |
| Publisher | Springer, Heidelberg |
| Year | 2007 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
