Top-squark searches at the Tevatron in models of low-energy supersymmetry breaking

We study the production and decays of top squarks at the Fermilab Tevatron collider in models of low-energy supersymmetry breaking. We consider the case where the lightest standard model (SM) superpartner is a light neutralino that predominantly decays into a photon and a light gravitino. Considering the lighter top squark to be the next-to-lightest standard model superpartner, we analyze top squark signatures associated with jets, photons and missing energy, which lead to signals naturally larger than the associated SM backgrounds. We consider both 2-body and 3-body decays of the top squarks and show that the reach of the Tevatron can be significantly larger than that expected within either the standard supergravity models or models of low-energy supersymmetry breaking in which the top squark is the lightest SM superpartner. For a modest projection of the final Tevatron luminosity, L⋍4fb-1, top squark masses of order 300 GeV are accessible at the Tevatron collider in both 2-body and 3-body decay modes. We also consider the production and decay of ten degenerate squarks that are the supersymmetric partners of the five light quarks. In this case we find that common squark masses up to 360 GeV are easily accessible at the Tevatron collider, and that the reach increases further if the gluino is light