We analyze the discovery potential of the next-to-minimal supergravitymotivated model: NmSuGra. This model is an extension of mSuGra by a gaugesinglet, and contains only one additional parameter: lambda, theHiggs-singlet-Higgs coupling. NmSuGra solves the mu-problem and reduces thefine tuning of mSuGra. After identifying parameter space regions preferred by present experimentaldata, we show that these regions of NmSuGra are amenable to detection by thecombination of the Large Hadron Collider and an upgraded Cryogenic Dark MatterSearch. This conclusion holds strictly provided that the more than three sigmadiscrepancy in the difference of the experimental and the standard theoreticalvalues of the anomalous magnetic moment of the muon prevails in the future.
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