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Given that it will take quite some time for the Large Hadron Collider (LHC)to reach its desired luminosity, it is important to investigate the mostfavorable scenario in which supersymmetry (SUSY) may be discovered at the earlyruns at the LHC. Our aim in this work is to find such a scenario within thegravity mediated SUSY breaking (SUGRA) framework and select a class of finalstates that warrant a discovery at the very early runs of the LHC. It turns outthat such a situation can be associated with a scenario where gluinos aresufficiently light and so are the third generation scalars while the first twofamily scalars are heavy. We find that this can be achieved from a high-scaleset-up with scalar mass non-universality in the third family and gaugino massnon-universality with $M_3 < M_1, M_2$. We show that the final state channelswhich are most favorable in such a region of parameter space are$4b+{E_{T}}\!\!\!\!/$, $4b+\ell+{E_{T}}\!\!\!\!/$ and$2b+2\ell+{E_{T}}\!\!\!\!/$. We also justify our claim by comparing the resultswith a minimal supergravity (mSUGRA) scenario with similar gluino mass.

Supersymmetry Signals at the LHC under the most favorable SUGRA scenario