A heavy gluino can push the physical stop mass above LHC bounds while the underlying stop mass parameter stays near the electroweak scale, solving the little fine-tuning problem when higher-order corrections are resummed.
Prospects for natural SUSY
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As we anticipate the first results of the 2016 run, we assess the discovery potential of the LHC to `natural supersymmetry'. To begin with, we explore the region of the model parameter space that can be excluded with various centre-of-mass energies (13 TeV and 14 TeV) and different luminosities (20 fb$^{-1}$, 100 fb$^{-1}$, 300 fb$^{-1}$ and 3000 fb$^{-1}$). We find that the bounds at 95% CL on stops vary from $m_{\tilde{t}_1}\gtrsim 900$ GeV expected this summer to $m_{\tilde{t}_1}\gtrsim 1500$ GeV at the end of the high luminosity run, while gluino bounds are expected to range from $m_{\tilde{g}}\gtrsim 1700$ GeV to $m_{\tilde{g}}\gtrsim 2500$ GeV over the same time period. However, more pessimistically we find that if no signal begins to appear this summer, only a very small region of parameter space can be discovered with 5-$\sigma$ significance. For this conclusion to change, we find that both theoretical and systematic uncertainties will need to be significantly reduced.
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Little hierarchies solve the little fine-tuning problem: a case study in supersymmetry with heavy guinos
A heavy gluino can push the physical stop mass above LHC bounds while the underlying stop mass parameter stays near the electroweak scale, solving the little fine-tuning problem when higher-order corrections are resummed.