One way to ameliorate the SUSY flavor and CP problems is to postulate that
scalar masses lie in the TeV or beyond regime. For example, the focus point
(FP) region of the minimal supergravity (mSUGRA) model is especially compelling
in that heavy scalar masses can co-exist with low fine-tuning while yielding
the required relic abundance of cold dark matter (via a mixed higgsino-bino
neutralino). We examine many of the characteristics of collider events expected
to arise at the CERN LHC in models with multi-TeV scalars, taking the mSUGRA FP
region as a case study. The collider events are characterized by a hard
component arising from gluino pair production, plus a soft component arising
from direct chargino and neutralino production. Gluino decays in the FP region
are characterized by lengthy cascades yielding very large jet and lepton
multiplicities, and a large b-jet multiplicity. Thus, as one steps to higher
jet, b-jet or lepton multiplicity, signal-over-background rates should steadily
improve. The lengthy cascade decays make mass reconstruction via kinematic
edges difficult; however, since the hard component is nearly pure gluino pair
production, 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 in
the hard component exhibits two dilepton mass edges: m_{\tz_2}-m_{\tz_1} and
m_{\tz_3}-m_{\tz_1}. As a consistency check, the same mass edges should be seen
in isolated opposite-sign dileptons occurring in the soft component trilepton
signal which originates mainly from chargino-neutralino production.Comment: 24 pages with 20 EPS figure