Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM

Details Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM

2006-08-30

arxiv.org/abs/hep-ph/0608314v1

Eur.Phys.J.C49:1067-1076,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 2 figures

Scientific paper

10.1140/epjc/s10052-006-0186-2

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.

Affiliated with

Also associated with

No associations

Rating

Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determining the global minimum of Higgs potentials via Groebner bases - applied to the NMSSM will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-73989