  If the neutrino is a Majorana particle, low-energy lepton-number-violating
(LNV) processes, such as neutrinoless double-beta ($0\nu\beta\beta$) decay, are
possible. It may also be possible to observe high-energy $0\nu\beta\beta$-like
LNV processes at the LHC. These are distinguished by the presence of same-sign
dileptons in the final state (e.g., ${\bar u} d \to t {\bar b} \, e^- \mu^-$).
In this paper, we show that CP-violating triple products (TPs) may be present
in the process, and may be measurable at the LHC. If a nonzero TP were
observed, it would give us much information about the underlying new physics
(NP). We would know that there are (at least) two interfering NP amplitudes,
with different weak phases and different Lorentz structures. And if we had some
knowledge of the NP, e.g., by direct production of NP particles, we could get
information about the magnitudes and relative phases of its couplings.
