Fermilab Tevatron signatures of long-lived charged sleptons in gauge-mediated supersymmetry breaking models

In supersymmetric models with gauge-mediated supersymmetry breaking, charged sleptons are the next lightest supersymmetric particles and decay outside the detector for large regions of parameter space. In such scenarios, supersymmetry may be discovered by searches for a number of novel signals, including highly ionizing tracks from long-lived slow charged particles and excesses of multi-lepton signals. We consider this scenario in detail and find that the currently available Fermilab Tevatron data probe regions of parameter space beyond the kinematic reach of CERN LEP II. Future Tevatron runs with integrated luminosities of 2, 10, and $30{\mathrm{fb}}^{\mathrm{-}1}$ probe right-handed slepton masses of 110, 180, and 230 GeV and $W$-ino masses of 310, 370, and 420 GeV, respectively, greatly extending current search limits.