Prospects of Discovery for Supersymmetry at the Tevatron

Abstract

We summarize a discovery potential for supersymmetric particles at the \ppbar collider of Tevatron with center-of-mass energy \sqrt{s} = 2 TeV and integrated luminosity $\intlum$ = 15-30 \invfb. Any direct search is kinematically limited to below 450 \mgev. We, however, have a unique opportunity to test various supersymmetric scenarios by a measurement of the branching ratio for the rare decay mode \bsmumu. Using the background estimate in the CDF analysis of \bsmumu in Run I, we investigate the prospects for studying this mode in Run II. CDF would be sensitive to this decay for a branching ratio > 1.2 \times 10^{-8} with 15 \invfb (or, if a similar analysis holds for \Dzero, >6.5\times 10^{-9} for the combined data). For \tanb > 30, the \bsmumu search can probe the SUSY parameter space that cannot be probed by direct production of SUSY particles at Run II. An observation of \bsmumu with a large branching ratio > 7(14) \times 10^{-8} (feasible with only 2 \invfb) would be sufficient to exclude the mSUGRA model for \tan\beta \leq 50 (55) including other experimental constraints. For some models, the branching ratio can be large enough to be detected even for small $\tan\beta$ and large \mhalf.