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One way to ameliorate the SUSY flavor and CP problems is to postulate thatscalar masses lie in the TeV or beyond regime. For example, the focus point(FP) region of the minimal supergravity (mSUGRA) model is especially compellingin that heavy scalar masses can co-exist with low fine-tuning while yieldingthe required relic abundance of cold dark matter (via a mixed higgsino-binoneutralino). We examine many of the characteristics of collider events expectedto arise at the CERN LHC in models with multi-TeV scalars, taking the mSUGRA FPregion as a case study. The collider events are characterized by a hardcomponent arising from gluino pair production, plus a soft component arisingfrom direct chargino and neutralino production. Gluino decays in the FP regionare characterized by lengthy cascades yielding very large jet and leptonmultiplicities, and a large b-jet multiplicity. Thus, as one steps to higherjet, b-jet or lepton multiplicity, signal-over-background rates should steadilyimprove. The lengthy cascade decays make mass reconstruction via kinematicedges difficult; however, since the hard component is nearly pure gluino pairproduction, the gluino mass can be extracted to +- 8% via total rate for \eslt+\ge 7-jet +\ge 2 b-jet events, assuming 100 fb^{-1} of integrated luminosity.The distribution of invariant mass of opposite-sign/same-flavor dileptons inthe hard component exhibits two dilepton mass edges: m_{\tz_2}-m_{\tz_1} andm_{\tz_3}-m_{\tz_1}. As a consistency check, the same mass edges should be seenin isolated opposite-sign dileptons occurring in the soft component trileptonsignal which originates mainly from chargino-neutralino production.Comment: 24 pages with 20 EPS figure

Precision gluino mass at the CERN LHC in supersymmetric models with decoupled scalars