Gauge Mediation with a small mu term and light squarks

Abstract

We consider a solution to the mu problem in the context of Non-Minimal Gauge Mediation with two Singlets and Low-Scale Messengers. This solution reduces tuning associated with the "Little Hierarchy" problem by permitting a naturally small mu term (100-300 GeV) due to small mixing between the Singlets. The smallness of mu also relies crucially on compressing the Gauge Mediated sparticle spectrum resulting in 330-400 GeV squarks. In addition to a small mu term, the theory achieves a Higgs mass > 114.4 GeV through a large Higgs quartic coupling when tanbeta ~ 1.5. The vacua studied are globally stable with all couplings perturbative to the GUT scale. The amount of tuning required to get the correct Electroweak scale is of order 10%, with a similar residual tuning associated with the region of parameter space where the lightest CP-even Higgs mass is above the LEP bound.

34 pages, 8 figures. References and minor clarifications added. To appear in PRD

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Cited by in corpus (8)

• The Next-to-Minimal Supersymmetric Standard Model
• Improving the tunings of the MSSM by adding triplets and singlet
• Electroweak Baryogenesis, CDM and Anomaly-free Supersymmetric U(1)-prime Models
• Neutralino Dark Matter in BMSSM Effective Theory
• Higgs Boson Decays to Neutralinos in Low-Scale Gauge Mediation
• Naturalness from runaways in direct mediation
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets
• NMSSM with Lopsided Gauge Mediation