The Next-to-Minimal Supersymmetric Extension of the Standard Model Reviewed

Abstract

The next-to-minimal supersymmetric extension of the Standard Model (NMSSM) is one of the most favored supersymmetric models. After an introduction to the model, the Higgs sector and the neutralino sector are discussed in detail. Theoretical, experimental, and cosmological constraints are studied. Eventually, the Higgs potential is investigated in the approach of bilinear functions. Emphasis is placed on aspects which are different from the minimal supersymmetric extension.

Enhanced di-photon Higgs signal in the Next-to-Minimal Supersymmetric Standard Model

“…No supersymmetric Higgs mass term µ is required, since it is generated dynamically by the vacuum expectation value (vev) of a gauge singlet superfield S. Together with the neutral components of the two SU(2) doublet Higgs fields H u and H d of the MSSM, one finds three neutral CP-even Higgs states in this model (see [3,4] for recent reviews of the NMSSM). These three states mix in the form of a 3 × 3 mass matrix and, accordingly, the physical eigenstates are superpositions of the neutral CP-even components of H u , H d and S. (Here and below we assume no CP-violation in the Higgs sector.)…”

“…This problem is alleviated in the NMSSM: first, the additional Higgs singlet-doublet coupling λ in the superpotential of the NMSSM allows for a tree level mass of the SM-like Higgs state above M Z , provided tan β ≡ v u /v d is not too large [3,4]. Second, a Higgs state with a sizeable singlet component can have a mass well below the lower LEP-bound of 114.7 GeV on a SM-like Higgs mass [6][7][8], without violating corresponding constraints [5] on its coupling to the Z boson.…”

Search for Dark Sector at BESIII

“…By extending the Higgs sector, the next-to-minimal supersymmetry SM contains three CP-even, two CP-odd and two charged Higgs, which can solve the so-called " hierarchy problem" of SM [14]. The mass of the lightest CP-odd Higgs boson can be smaller than 2 × m b .…”

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.…”