Abstract
We explore the effects of Higgs mixing in the general next-to-minimal supersymmetric Standard Model (NMSSM). Extended to include a gauge singlet, the Higgs sector can naturally explain the observed Higgs boson mass in TeV scale supersymmetry without invoking large stop mixing. This is particularly the case when the singlet scalar is light so that singlet-doublet mixing increases the mass of the SM-like Higgs boson. In such a case the Higgs mixing has interesting implications following from the fact that the higgsino mass parameter and the singlet coupling to Higgs bilinear crucially depend on the Higgs boson masses and mixing angles. For the mixing compatible with the current LHC data on the Higgs signal rates, the higgsinos are required to be relatively light, around or below a few hundred GeV, as long as the heavy doublet Higgs boson has a mass smaller than about 250\sqrt{\tan\beta} GeV and the singlet-like Higgs boson is consistent with the LEP constraint. In addition, the Higgs coupling to photons can receive a sizable contribution of either sign from the charged-higgsino loops combined with singlet-doublet mixing.
Highlights
JHEP11(2014)148 our results apply to any next-to-minimal supersymmetric Standard Model (NMSSM) model, we will not specify the exact form of the singlet superpotential or the mediation mechanism of SUSY breaking
We explore the effects of Higgs mixing in the general next-to-minimal supersymmetric Standard Model (NMSSM)
For the mixing compatible with the current LHC data on the Higgs signal rates, the higgsinos are required to be relatively light, around or below a few hun√dred GeV, as long as the heavy doublet Higgs boson has a mass smaller than about 250 tan β GeV and the singlet-like Higgs boson is consistent with the LEP constraint
Summary
Using the EWSB conditions, one can find that the mass squared matrix for the neutral CP-even scalar bosons is written m20 + (λ2v2 − m2Z ) sin2 2β. If there is no mixing, hacts exactly like the SM Higgs boson with a mass determined by m0 and λ. The Lagrangian parameters are written in terms of mass eigenvalues and mixing angles [13, 14]. Important are the relation for m0, m20 = m2h + (m2H − m2h)OHh (OHh + OHHtan 2β) − (m2h − m2s)Osh (Osh + OsHtan 2β), (2.8) These relations allow us to translate the constraints on m0, λ, and μ into the constraints on the mass eigenvalues mα and the mixing angles θi, and vice versa
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