Abstract
Gauge mediated supersymmetry breaking (GMSB) is an elegant mechanism to transmit supersymmetry breaking from the hidden to the MSSM observable sector, which solves the supersymmetric avor problem. However the smallness of the generated stop mixing requires superheavy stops to reproduce the experimental value of the Higgs mass. A possible way out is to extend the MSSM Higgs sector with singlets and/or triplets providing extra tree-level corrections to the Higgs mass. Singlets will not get any soft mass from GMSB and triplets will contribute to the parameter which could be an issue. In this paper we explore the second possibility by introducing extra supersymmetric triplets with hypercharges Y = (0; 1), with a tree-level custodial SU(2)L SU(2)R global symmetry in the Higgs sector protecting the parameter: a supersymmetric generalization of the Georgi-Machacek model, dubbed as supersymmetric custodial triplet model (SCTM). The renormalization group running from the messenger to the electroweak scale mildly breaks the custodial symmetry. We will present realistic low-scale scenarios (with the NLSP being a Bino-like neutralino or the right-handed stau) based on general (non-minimal) gauge mediation and consistent with all present experimental data. Their main features are: i) Light ( 1 TeV) stops; ii) Exotic couplings (H W Z and H W W ) absent in the MSSM and proportional to the triplets VEV, v ; and, iii) A possible (measurable) universality breaking of the Higgs couplings WZ = rWW=rZZ6 1.
Highlights
Higgs mass, stops heavier than 5 TeV are required [2,3,4]
In this paper we explore the second possibility by introducing extra supersymmetric triplets with hypercharges Y = (0, ±1), with a tree-level custodial SU(2)L ⊗ SU(2)R global symmetry in the Higgs sector protecting the ρ parameter: a supersymmetric generalization of the Georgi-Machacek model, dubbed as supersymmetric custodial triplet model (SCTM)
Following our previous philosophy we can exclude the presence of the singlet, as it does not get any mass from the GMSB unless: i) We enlarge the gauge group such that S transforms as a non-trivial representation of the enlarged gauge group, or; ii) We consider an extended GMSB model with direct superpotential messenger-MSSM couplings [16], which could result again in flavor constraints
Summary
At the scale M at which supersymmetry breaking is transmitted to the observable sector we assume the supersymmetric theory to be invariant under SU(2)L ⊗ SU(2)R broken only by Yukawa and hypercharge interactions. As we will see the mass spectrum of the Higgs scalars at the scale M is SU(2)L ⊗ SU(2)R invariant except for contributions proportional to the U(1)Y gauge coupling which will moderately spoil the SU(2)L ⊗ SU(2)R structure of the squared mass of the triplet ∆ ̄. This violation is similar to the violation of the custodial symmetry induced by the hypercharge coupling in the RG running and does not spoil the main phenomenological features of the model. Each minimum we find is likely the deepest one since it consists on a smooth deformation of an SU(2)V preserving minimum where the D-terms vanish, with minimized energy
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