Inclusive Search for Squark and Gluino Production inpp¯Collisions ats=1.96TeV

We report on a search for inclusive production of squarks and gluinos in $p\overline{p}$ collisions at $\sqrt{s}=1.96\mathrm{TeV}$, in events with large missing transverse energy and multiple jets of hadrons in the final state. The study uses a CDF Run II data sample corresponding to $2{\mathrm{fb}}^{-1}$ of integrated luminosity. The data are in good agreement with the standard model predictions, giving no evidence for any squark or gluino component. In an $R$-parity conserving minimal supergravity scenario with $A_0=0$, $\mu <0$, and $\tan \beta =5$, 95% C.L. upper limits on the production cross sections in the range between 0.1 and 1 pb are obtained, depending on the squark and gluino masses considered. For gluino masses below $280\mathrm{GeV}/c^2$, arbitrarily large squark masses are excluded at the 95% C.L., while for mass degenerate gluinos and squarks, masses below $392\mathrm{GeV}/c^2$ are excluded at the 95% C.L.