Title | **Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM.** |

Author(s) | Möller H. 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 |