Abstract
AbstractThe lack of evidence for new physics beyond the standard model at the LHC points to a paucity of new particles near the weak scale. This suggests that the weak scale is tuned and that supersymmetry, if present at all, is realized at higher energies. The measured Higgs mass constrains the scalar sparticles to be below 105TeV, while gauge coupling unification favors Higgsinos below 100 TeV. Nevertheless, in many models gaugino masses are suppressed and remain within reach of the LHC. Tuning the weak scale and the renormalization group evolution of the scalar masses constrain Split model building. Due to the small gaugino masses, either the squarks or the up-higgs often run tachyonic; in the latter case, successful electroweak breaking requires heavy higgsinos near the scalar sparticles. We discuss the consequences of tuning the weak scale and the phenomenology of several models of Split supersymmetry including anomaly mediation, U(1)B−Lmediation, and Split gauge mediation.
Highlights
Implies a tuning below the percent level
We discuss the consequences of tuning the weak scale and the phenomenology of several models of Split supersymmetry including anomaly mediation, U(1)B−L mediation, and Split gauge mediation
Does supersymmetric unification work so well if the sparticles responsible for it are not present? An answer to this question comes from Split SUSY [12, 13], a theory motivated by the multiverse
Summary
In concrete models of Split supersymmetry, successful tuning of electroweak symmetry breaking (EWSB) is not automatic It requires that the Higgs sector parameters at the scalar mass scale satisfy the following relation: det. EWSB can be achieved through either tuning the μ term against m2Hu with small Bμ and large tan β, or by requiring that |μ|2 ≈ |Bμ| |m2Hu| with tan β ∼ 1 The latter case is disfavored by unification due to the largeness of μ, as shown in figure 5. The constraints on the Higgs and higgsino parameters from the tuning of the EW scale are summarized in figure 6 It is clear from the discussion above that even in Split model building, just like in low energy SUSY, special attention has to be given to the way μ and Bμ are generated.
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