Stability constraints in triplet extension of the MSSM.

We study the stability constraints on the parameter space of a triplet extension of the Minimal Supersymmetric Standard Model (MSSM). Existence of unbounded-from-below directions in the potential can spoil successful electroweak (EW) symmetry breaking by making the corresponding minimum unstable, and hence the model should be free from those directions. Avoiding those directions restricts the parameter space of the model. We derive four stability constraints, of which only three are independent from each other. After scanning the parameter space of the model for phenomenologically viable data points, we impose the stability constraints and find that only about a quarter of the data points features a stable EW minimum. At those data points featuring stability, p and the up Higgs soft mass turn out to be smaller than about a TeV in absolute value, which makes the mass of the lightest chargino and neutralino smaller than about 700 GeV. Two relevant phenomenological consequences of lifting the unbounded-frombelow directions are that the lightest Higgs boson decay rate to diphoton predicted by the triplet extension of MSSM generally features larger deviations from MSSM, and fine-tuning is actually higher than what each of the two would be without imposing stability constraints. [ABSTRACT FROM AUTHOR]