Higgs bosons in a nonminimal supersymmetric model

Abstract

The minimal supersymmetric standard model contains two Higgs doublets which must mix via a mass parameter whose magnitude remains to be explained. We explore an extension of the minimal model to include a singlet Higgs field whose vacuum expectation value determines the mixing. We study the spectrum and couplings of Higgs bosons in this extended model and compare them with those in the minimal model. We examine a number of limiting cases analytically and also make numerical studies of the extended model both with and without constraints from the renormalizationgroup analysis of a parent superstring-inspired grand-unified-theory model. We establish the conditions for there to be a charged Higgs boson lighter than the W* and the circumstances under which there is no light neutral Higgs boson. With a particularly simple set of boundary conditions at the unification scale, the renormalization-group equations imply that one or more Higgs bosons are light enough to be found at the CERN LEP or SLAC Linear Collider and that many supersymmetric particles should be accessible to these accelerators and the Fermilab Tevatron; relatively few would require the Superconducting Super Collider, Large Hadron Collider, or a TeV-scale e'ecollider for discovery. Finally, we analyze the possible production mechanisms and phenomenological signatures of the different Higgs bosons at these machines.

The soft supersymmetry-breaking Lagrangian: theory and applications

“…One must always check that a particular selection of parameters in the low energy Higgs potential will not result in the VEVs breaking electromagnetism. The condition that electromagnetism is not broken simply reduces to requiring that the physical charged Higgs mass squared is nonnegative [826]. It can be shown, at tree level, that spontaneous CP violation does not occur in a wide range of supersymmetric models including the NMSSM [846].…”

“…Probably the simplest direction in which the MSSM can be extended, and the most studied, is the addition of a gauge singlet chiral superfield to the MSSM matter content [822,69,170,823,824], [825,826]. Such an addition is particularly wellmotivated by solutions to the µ problem which replace the explicit µ term with a field N. If N receives a VEV during electroweak symmetry breaking, the size of the µ term is automatically tied to the electroweak scale, as desired [75,144,827,828,147].…”

Non-decoupling effects in supersymmetric Higgs sectors

“…In fact, there can be several variations for the Higgs sector in SSMs. A simple extension may be addition of a neutral gauge singlet field to the MSSM, which is known as the Next-to MSSM (NMSSM) [7][8][9]. Solving the µ problem [10] may be a motivation to the NMSSM.…”

The NMSSM with and a moderate stop mass

“…As it is well known, in the most straightforward extension of the MSSM, the Next to Minimal SM (NMSSM), there is an additional quartic term in the scalar potential that may help increasing the Higgs mass without the need to invoke large loop corrections (see [1,2,3,4,5] and references therein).…”