Abstract
The next-to-minimal supersymmetric standard model (NMSSM) naturally provides a 125 GeV Higgs boson without the need for large loop corrections from multi-TeV stop quarks. Furthermore, the NMSSM provides an electroweak scale dark matter candidate consistent with all experimental data, like relic density and non-observation of direct dark matter signals with the present experimental sensitivity. However, more free parameters are introduced in the NMSSM, which are strongly correlated. A simple parameter scan without knowing the correlation matrix is not efficient and can miss significant regions of the parameter space. We introduce a new technique to sample the NMSSM parameter space, which takes into account the correlations. For this we project the 7D NMSSM parameter space onto the 3D Higgs boson mass parameter space. The reduced dimensionality allows for a non-random sampling and therefore a complete coverage of the allowed NMSSM parameters. In addition, the parameter correlations and possible deviations of the signal strengths of the observed 125 Higgs boson from the SM values are easily predicted.
Highlights
The next-to-minimal supersymmetric standard model (NMSSM) distinguishes itself from the minimal supersymmetric standard model (MSSM) by a Higgs singlet in addition to the two Higgs doublets of the MSSM
We consider in our analysis two different fermionic final states (b-quarks and τ-leptons) and two different bosonic final states (W=Z and γ) for two different production modes leading to a total of eight reduced cross sections, which can be divided into signal strengths without effective couplings μno−loopðμloopÞ: μno−loop∶ μVττBF=VH; μVZZB=FW=VWH; μVbbBF=VH; μtbtbh; μloop∶ μgττgf; μgZgZf=WW ; μVγγBF=VH; μgγγgf: ð4Þ
A new technique to sample the NMSSM parameter space is introduced and allows an efficient sampling with complete coverage. This is obtained by sampling the 3D Higgs mass space instead of the large 7D NMSSM parameter space
Summary
The next-to-minimal supersymmetric standard model (NMSSM) distinguishes itself from the minimal supersymmetric standard model (MSSM) by a Higgs singlet in addition to the two Higgs doublets of the MSSM. The large NMSSM parameter space of the Higgs sector, and especially the large correlations between these parameters, we describe in this paper in detail a novel sampling technique to obtain the allowed range of the NMSSM parameters for the constraints from the observed Higgs boson mass and its couplings. This method was previously used for the analysis of the heavy Higgs boson [33], a light singletlike Higgs boson [34], and dark matter constraints [13] but has never been described in detail. The GUT scale definition of the parameters has the advantage that the fixed-point solutions of the trilinear couplings are taken into account, avoiding values not allowed by solutions of the renormalization group equations (RGEs), as will be discussed later
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