Supersymmetric Models With Extended Higgs Sector

Abstract

The Higgs sector of supersymmetric models with an additional SU (2)× U (1)Y singlet or an additional pair of Higgs doublet superfields is investigated. It is shown that in the model with a Higgs singlet bounds on Higgs boson masses are considerably weaker than in the minimal supersymmetric model; in particular, all neutral scalars can be heavier than about 150 GeV or lighter than [Formula: see text], whereas the mass of the charged Higgs boson is essentially unconstrained. The four doublet model resembles the minimal model more closely; in particular, the bounds for the heaviest and lightest neutral scalar and the heaviest charged Higgs boson are unaltered. In this model, many relations between masses of different Higgs bosons can be found; 44 of the 66 possible decays of one Higgs boson into another Higgs boson plus a real W or Z boson are kinematically forbidden. It is also shown that in both models, the lightest neutral scalar becomes indistinguishable from the standard model Higgs boson if all other Higgs bosons of the model are much heavier than Mw.

The soft supersymmetry-breaking Lagrangian: theory and applications

“…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].…”

The NMSSM with and a moderate stop mass

“…For the remaining supersymmetric particles, we consider the interesting limit where all of the spectrum is heavy except for the states that have to be kept light for naturalness reasons. We thus assume, as already pointed out, the lightest stop to have a moderate mass (mt 1 300 GeV) and a gluino not exceeding twice of thet 1 mass, while all the remaining squarks and leptons are in the 1 ÷ 2 TeV range.…”

“…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).…”

“…of Eq. (1), this makes again difficult to push m h above the LEP2 bound without a sufficiently heavy stop. More recently it has been shown in [6,7,8] that if one assumes the presence of extra matter at intermediate energies, filling complete SU(5) supermultiplets, the RG evolution of λ is slowed down.…”

Higgs-boson masses and mixing matrices in the NMSSM: analysis of on-shell calculations

“…It can solve the hierarchy problem, provides a Dark Matter candidate and leads to a unification of the gauge couplings, thus paving the way to a Grand Unified Theory. The most frequently studied realizations of SUSY are the Minimal Supersymmetric Standard Model (MSSM) [2][3][4][5] and the Next-toMinimal Supersymmetric Standard Model (NMSSM) [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. In contrast to the SM, in the MSSM two Higgs doublets are required.…”