Higgs boson mass limits in perturbative unification theories

Abstract

Motivated in part by recent demonstrations that electroweak unification into a simple group may occur at a low scale, we detail the requirements on the Higgs mass if the unification is to be perturbative. We do this for the Standard Model effective theory, minimal supersymmetry, and next-to-minimal supersymmetry with an additional singlet field. Within the Standard Model framework, we find that perturbative unification with sin2(thetaW)=1/4 occurs at Lambda=3.8 TeV and requires mh<460 GeV, whereas perturbative unification with sin2(thetaW)=3/8 requires mh<200 GeV. In supersymmetry, the presentation of the Higgs mass predictions can be significantly simplified, yet remain meaningful, by using a single supersymmetry breaking parameter Delta_S. We present Higgs mass limits in terms of Delta_S for the minimal supersymmetric model and the next-to-minimal supersymmetric model. We show that in next-to-minimal supersymmetry, the Higgs mass upper limit can be as large as 500 GeV even for moderate supersymmetry masses if the perturbative unification scale is low (e.g., Lambda=10 TeV).

20 pages, latex, 6 figures, references added

References in corpus (8)

• Finite Higgs mass without Supersymmetry
• How Can a Heavy Higgs Boson be Consistent with the Precision Electroweak Measurements?
• Indication for Light Sneutrinos and Gauginos from Precision Electroweak Data
• The Weak Mixing Angle from an SU(3) Symmetry at a TeV
• Establishing a No-Lose Theorem for NMSSM Higgs Boson Discovery at the LHC
• Unification of Weak and Hypercharge Interactions at the TeV Scale
• Electroweak Unification into a Five-Dimensional SU(3) at a TeV
• Constraints on the SU(3) Electroweak Model

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