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.
Highlights
Supersymmetry is often considered one of the most appealing theoretical ingredients for extending the Standard Model of particle physics
Supersymmetry at the weak scale can reproduce the Higgs mass favored by the preliminary ATLAS and CMS analyses provided that tan β is large, that stops are in hundreds of GeV to TeV range and are strongly mixed
In this paper we computed the range of Higgs masses determined by matching the quartic Higgs coupling to its supersymmetric value at a very large energy scale m
Summary
Supersymmetry is often considered one of the most appealing theoretical ingredients for extending the Standard Model of particle physics. It may seem that High-Scale Supersymmetry, interesting in the context of quantum gravity and string theory, has absolutely no chance of being probed at collider experiments Let us consider the case in which, below the scale m , the effective theory contains only the Standard Model degrees of freedom (for High-Scale Supersymmetry) or additional fermions (for Split Supersymmetry) needed for gauge coupling unification and dark matter.
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