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Using an artificial neutral network we explore the parameter space ofsupergravity grand unified models consistent with the combined Fermilab E989and Brookhaven E821 data on $(g-2)_\mu$. The analysis indicates that the regionfavored by the data is the one generated by gluino-driven radiative breaking ofthe electroweak symmetry. This region naturally leads to a split sparticlespectrum with light sleptons and weakinos but heavy squarks, with the stau andthe chargino as the lightest charged particles. We show that if the entiredeviation from the standard model $(g-2)_{\mu}$ arises from supersymmetry, thensupersymmetry is discoverable at HL-LHC and HE-LHC via production and decay ofsleptons within the optimal integrated luminosity of HL-LHC and with a smallerintegrated luminosity at HE-LHC.

What Fermilab $(g-2)_{\mu}$ experiment tells us about discovering SUSY at HL-LHC and HE-LHC