2006/08/30 by M. Maniatis, A. von Manteuffel, O. Nachtmann · 2 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-006-0186-2
published as Eur.Phys.J.C49:1067-1076,2007 · 10 pages, 2 figures
arxiv created 2006/08/30 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.