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Will at least one of the Higgs bosons of the next-to-minimal supersymmetric extension of the Standard Model be observable at LEP2 or the LHC?

J. F. Gunion, H. E. Haber, T. Moroi

TL;DR

The paper analyzes whether the NMSSM can yield regions of parameter space where none of the Higgs bosons are observable at LEP2 or the LHC. Using a perturbativity-constrained scan of NMSSM parameters and a mixing-matrix formalism for Higgs couplings, it evaluates multiple detection channels and finds that while many points are observable, there exist moderate-tanβ regions with unobservable Higgs bosons; observability improves as m_h1 approaches its maximum. The study highlights how singlet admixture can suppress γγ and ZZ channels, hindering detection, and notes that increased luminosity or improved ττ sensitivity could reduce these unobservability regions. Overall, there is no no-lose theorem for NMSSM Higgs detection at LEP2/LHC, but the risky regions constitute a small fraction of parameter space and depend on detector performance and potential SUSY decay channels.

Abstract

We demonstrate that there are regions of parameter space in the next-to-minimal (i.e. two-Higgs-doublet, one-Higgs-singlet superfield) supersymmetric extension of the SM for which none of the Higgs bosons are observable either at LEP2 with $\sqrt{s}=192 GeV$ and an integrated luminosity of $L=1000 inverse pb$ or at the LHC with $L=600 inverse fb$.

Will at least one of the Higgs bosons of the next-to-minimal supersymmetric extension of the Standard Model be observable at LEP2 or the LHC?

TL;DR

The paper analyzes whether the NMSSM can yield regions of parameter space where none of the Higgs bosons are observable at LEP2 or the LHC. Using a perturbativity-constrained scan of NMSSM parameters and a mixing-matrix formalism for Higgs couplings, it evaluates multiple detection channels and finds that while many points are observable, there exist moderate-tanβ regions with unobservable Higgs bosons; observability improves as m_h1 approaches its maximum. The study highlights how singlet admixture can suppress γγ and ZZ channels, hindering detection, and notes that increased luminosity or improved ττ sensitivity could reduce these unobservability regions. Overall, there is no no-lose theorem for NMSSM Higgs detection at LEP2/LHC, but the risky regions constitute a small fraction of parameter space and depend on detector performance and potential SUSY decay channels.

Abstract

We demonstrate that there are regions of parameter space in the next-to-minimal (i.e. two-Higgs-doublet, one-Higgs-singlet superfield) supersymmetric extension of the SM for which none of the Higgs bosons are observable either at LEP2 with and an integrated luminosity of or at the LHC with .

Paper Structure

This paper contains 5 sections, 6 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Parameters and Scanning Procedure
  3. Detection Modes
  4. Results
  5. Discussion and Conclusions

Figures (2)

  • Figure 1: For $\tan\beta=5$ and $m_{h_1}=105\,{\rm GeV}$, we display in three dimensional $(\alpha_1,\alpha_2,\alpha_3)$ parameter space the parameter regions searched (which lie within the surfaces shown), and the regions therein for which the remaining model parameters can be chosen so that no Higgs boson is observable (interior to the surfaces shown).
  • Figure 2: For $\tan\beta=5$ and $m_{h_1}=105\,{\rm GeV}$, we display the regions of the $(V_{11}^2,m_{h_2})$, $(V_{11}^2,V_{12}^2)$ and $(m_{h_3},m_{h_2})$ parameter spaces that were searched and the regions therein (labeled "bad points found") for which there is some choice for the remaining NMSSM parameters such that no Higgs boson is observable.