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

Understand

Using an artificial neutral network we explore the parameter space of supergravity grand unified models consistent with the combined Fermilab E989 and Brookhaven E821 data on $(g-2)_\mu$.

• The analysis indicates that the region favored by the data is the one generated by gluino-driven radiative breaking of the electroweak symmetry.
• This region naturally leads to a split sparticle spectrum with light sleptons and weakinos but heavy squarks, with the stau and the chargino as the lightest charged particles.
• We show that if the entire deviation from the standard model $(g-2)_{\mu}$ arises from supersymmetry, then supersymmetry is discoverable at HL-LHC and HE-LHC via production and decay of sleptons within the optimal integrated luminosity of HL-LHC and with a smaller integrated luminosity at HE-LHC.