Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements

Abstract

We study the range of Higgs masses predicted by High-Scale Supersymmetry and by Split Supersymmetry, using the matching condition for the Higgs quartic coupling determined by the minimal field content. In the case of Split Supersymmetry, we compute for the first time the complete next-to-leading order corrections, including two-loop renormalization group equations and one loop threshold effects. These corrections reduce the predicted Higgs mass by a few GeV. We investigate the impact of the recent LHC Higgs searches on the scale of supersymmetry breaking. In particular, we show that an upper bound of 127 GeV on the Higgs mass implies an upper bound on the scale of Split Supersymmetry of about 10^8 GeV, while no firm conclusion can yet be drawn for High-Scale Supersymmetry.

22 pages, 5 figures. v3: misprints fixed as described in footnotes, references added

References in corpus (8)

• Cosmology and Astrophysics of Minimal Dark Matter
• Non-perturbative Effect on Thermal Relic Abundance of Dark Matter
• Cosmological implications of the Higgs mass measurement
• Gravitational corrections to Standard Model vacuum decay
• Upper bounds on SUSY masses from the LHC
• Bounds on the Higgs Mass in Variations of Split Supersymmetry
• Decoupling heavy sparticles in hierarchical SUSY scenarios: Two-loop Renormalization Group equations
• Threshold corrections to hard supersymmetric relations

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