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Abstract
Discussions are underway for a high-energy proton-proton collider. Two preliminary
ideas are the \(\sqrt{s}=33\) TeV HE-LHC and the \(\sqrt{s}=100\) TeV VLHC. With Bayesian
statistics, we calculate the probabilities that the LHC, HE-LHC and VLHC discover
SUSY in the future, assuming that nature is described by the CMSSM and given the experimental
data from the LHC, LUX and Planck. We find that the LHC with \(300\)/fb at \(\sqrt{s}=14\)
TeV has a \(15\)-\(75\%\) probability of discovering SUSY. Should that run fail to discover
SUSY, the probability of discovering SUSY with \(3000\)/fb is merely \(1\)-\(10\%\). Were
SUSY to remain undetected at the LHC, the HE-LHC would have a \(35\)-\(85\%\) probability
of discovering SUSY with \(3000\)/fb. The VLHC, on the other hand, ought to be definitive;
the probability of it discovering SUSY, assuming that the CMSSM is the correct model,
is \(100\%\).