  In this paper we consider CP-violating new-physics contributions to the decay
$t \to b \bar b c$. We examine the prospects for detecting such new physics at
the LHC, which requires studying the process $gg \to t (\to b \bar b c) \bar t
(\to \bar b \ell \bar \nu)$. We find two observables that can be used to reveal
the presence of CP-violating new physics in $t \to b \bar b c$. They are (i)
the partial-rate asymmetry and (ii) the triple-product correlations involving
the momenta of various particles associated with the interaction. A Monte Carlo
analysis is performed to determine how well these observables can be used to
detect the presence of new physics, and to measure its parameters. We find that
there is little difficulty in extracting the value of the relevant new-physics
parameter from the partial-rate asymmetry. For the triple-product correlations,
we test multiple strategies that can be used for the extraction of the
corresponding combination of new-physics parameters.
