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The recent muon $g-2$ result from Fermilab combined with the Brookhavenresult, strongly points to new physics beyond the Standard Model which can bewell described by the electroweak sector of supersymmetry if the masses of thesleptons and some of the electroweak gauginos are in the few hundred GeV range.However, the Higgs boson mass measurement at 125 GeV indicates a mass scale forsquarks which lies in the few TeV region indicating a split mass spectrumbetween squarks and sleptons. This apparent puzzle is resolved in a natural wayin gluino-driven radiative breaking of the electroweak symmetry where radiativebreaking is driven by a large gluino mass and the gluino color interactionslead to a large splitting between the squarks and the sleptons. We show that ananalysis without prejudice using an artificial neural network also leads to thegluino-driven radiative breaking. We use a set of benchmarks and a deep neuralnetwork analysis to test the model for the discovery of light sleptons andsneutrinos at HL-LHC and HE-LHC.

Tests of gluino-driven radiative breaking of the electroweak symmetry at the LHC