Prospects for constrained supersymmetry at s=33\sqrt{s}=33 TeV and s=100\sqrt{s}=100 TeV proton-proton super-colliders

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 $100$.Comment: 21 pages, 5 figures. Matches version published in Eur.Phys.J. C. Results and conclusions unchange

Examining a right-handed quark mixing matrix with bb-tags at the LHC

Encouraged by a hint in a search for right-handed $W$ bosons at the LHC, we investigate whether the unitarity of a right-handed quark mixing matrix and the equality of the left- and right-handed quark mixing matrices could be tested at the LHC. We propose a particular test, involving counting the numbers of $b$-tags in the final state, and simulate the test at the event level with Monte-Carlo tools for the forthcoming $\sqrt{s}=13$ TeV LHC run. We find that testing unitarity with 20/fb will be challenging; our test successfully rejects unitarity if the right-handed quark mixing matrix is non-unitary, but only in particular cases. On the other hand, our test may provide the first opportunity to test the unitarity of a right-handed quark mixing matrix and with 3000/fb severely constrains possible departures from unitarity in the latter. We refine our previous work, testing the equality of quark mixing matrices, with full collider simulation. With 20/fb, we are sensitive to mixing angles as small as $30^\circ$, and with 3000/fb, angles as small as $7.5^\circ$, confirming our preliminary analysis. We briefly investigate testing the unitarity of the SM CKM matrix with a similar method by studying semileptonic $t\bar t$ production, concluding that systematics make it particularly difficult.Comment: 20 pages, 5 figures, matches version to appear in Nuclear Physics

Is the CNMSSM more credible than the CMSSM?

With Bayesian statistics, we investigate the full parameter space of the constrained "next-to-minimal" supersymmetric Standard Model (CNMSSM) with naturalness priors, which were derived in a previous work. In the past, most Bayesian analyses of the CNMSSM ignored naturalness of the electroweak (EW) scale by making prejudicial assumptions for parameters defined at the EW scale. We test the CNMSSM against the CMSSM with Bayesian evidence, which, with naturalness priors, incorporates a penalty for fine-tuning of the EW scale. With the evidence, we measure credibility with respect to all measurements, including the EW scale and LHC direct searches. We find that the evidence in favor of the CNMSSM versus the CMSSM is "positive" to "strong" but that if one ignores the $\mu$-problem, the evidence is "barely worth mentioning" to "positive." The $\mu$-problem significantly influences our findings. Unless one considers the $\mu$-problem, the evidence in favor of the CNMSSM versus the CMSSM is at best "positive," which is two grades below "very strong." We, furthermore, identify the most probable regions of the CMSSM and CNMSSM parameter spaces and examine prospects for future discovery at hadron colliders.Comment: 28 pages, 11 color figures. Closely matches version published in Eur.Phys.J. C. Minor changes to title and abstract, and additional information about scanning settings. Conclusions unchange