B. C. Allanach, M. A. Parker
Some regions of parameter space of supersymmetric models, including the minimal supersymmetric standard model (MSSM), have extreme sensitivity of electroweak symmetry breaking (EWSB) to the top quark mass. This leads to uncertainties in the predictions which need to be taken into account in the interpretation of searches for supersymmetric particles in these regions. As an example, we provide estimates of the current uncertainties on the position in parameter space of the region which does not break electroweak symmetry, in the focus point region of the constrained MSSM. The position of the boundary of EWSB in terms of the squark masses can vary by up to 2 TeV due to the uncertainties coming from the current measurement errors on the top quark mass and from higher order corrections. The neutralino lightest supersymmetric particle mass has an associated large order 100% uncertainty. These uncertainties therefore have a profound effect on the interpretation of LHC supersymmetric particle searches. We also show how to ameliorate poor convergence of the iterative numerical algorithm that calculates the MSSM spectrum near the boundary of EWSB.
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http://arxiv.org/abs/1211.3231
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