  We address the potential of measurements with boosted single-top final states
at the high-luminosity LHC (HL-LHC) and possible future hadron colliders: the
high-energy LHC (HE-LHC), and the future circular collider (FCC). As new
physics examples to assess the potential, we consider the search for $tbW$
anomalous couplings and for a weakly-coupled $W'$ boson. The FCC would improve
by a factor of two the sensitivity to anomalous couplings of the HL-LHC. For
$W'$ bosons, the FCC is sensitive to $W'$ couplings $2-5$ times smaller than
the HL-LHC in the mass range 2-4 TeV, and to masses up to 30 TeV in the case of
Standard Model-like couplings.
