  We show how to detect and disentangle at the upgraded Tevatron and at LHC,
the effects of the three purely gluonic $dim=6$ $SU(3)\times SU(2) \times U(1)$
CP-conserving and CP-violating gauge invariant operators $\ol{\O}_{DG}$, $\O_G$
and $\wtil{\O}_{G}$. These operators are inevitably generated by New Physics
(NP), if the heavy particles responsible for it are coloured. We establish the
relations between their coupling constants and the corresponding NP scales
defined through the unitarity relations. We then study the sensitivity and
limits obtainable through production processes involving one or two jets, and
express these limits in terms of the NP scales implied by unitarity. A detailed
comparison with the results of the studies of the analogous electroweak
operators, is also made.
