  We investigate existing and future hadron-collider constraints on the top
dipole chromomagnetic and chromoelectric moments, two quantities that are
expected to be modified in the presence of new physics. We focus first on
recent measurements of the inclusive top pair production cross section at the
Tevatron and at the Large Hadron Collider. We then analyse the role of
top-antitop events produced at very large invariant masses, in the context of
the forthcoming 13-14 TeV runs of the LHC, and at a future 100 TeV
proton-proton collider. In this latter case, the selection of semileptonic
decays to hard muons allows to tag top quarks boosted to the multi-TeV regime,
strongly reducing the QCD backgrounds and leading to a significant improvement
in the sensitivity to anomalous top couplings.
