Abstract
We show that the well known Georgi-Machacek (GM) model can be realized as a limit of the recently constructed Supersymmetric Custodial Higgs Triplet Model (SCTM) which in general contains a significantly more complex scalar spectrum. We dub this limit of the SCTM, which gives a weakly coupled origin for the GM model at the electroweak scale, the Supersymmetric GM (SGM) model. We derive a mapping between the SGM and GM models using it to show how a supersymmetric origin implies constraints on the Higgs potential in conventional GM model constructions which would generically not be present. We then perform a simplified phenomenological study of diphoton and ZZ signals for a pair of benchmark scenarios to illustrate under what circumstances the GM model can mimic the SGM model and when they should be easily distinguishable.
Highlights
One of the most thoroughly explored examples of an extended Higgs sector is the Georgi-Machacek (GM) model [13, 14] which contains a (3, ̄3) in addition to the SM Higgs doublet, which is a (2, ̄2)
We show that the well known Georgi-Machacek (GM) model can be realized as a limit of the recently constructed Supersymmetric Custodial Higgs Triplet Model (SCTM) which in general contains a significantly more complex scalar spectrum
In this work we show explicitly how the Higgs scalar spectrum of the GM model arises as a limit of the SCTM and derive a mapping between the Higgs potentials of the Supersymmetric GM (SGM) and GM models
Summary
We will define the SGM as the limit of the SCTM in which the scalar spectrum of the conventional GM model is obtained at low energies. Throughout our analysis we implicitly assume that the scale M at which the global SU(2)L ⊗ SU(2)R holds is not too much larger than the electroweak scale v in order to neglect RG evolution effects [9, 16, 38]. This is an implicit assumption in almost all GM model constructions so that custodial breaking effects due to RG evolution are small and do not invalidate the custodial classification of the Higgs spectrum at the weak scale. For present purposes it is sufficient to take M ∼ B ∼ TeV and leave a more general analysis including RG and NLO loop effects to future work
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