Heidelberg 2007 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 207: BSM Theorie I

T 207.5: Vortrag

Dienstag, 6. März 2007, 17:45–18:00, KIP SR 2.402

Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM — •Markos Maniatis, Otto Nachtmann, and Andreas von Manteuffel — Institut für Theoretische Physik, University Heidelberg, Germany

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.