  Together with any Beyond the Standard Model ultraviolet complete,
renormalizable model, one or several exotic particles are usually hypothesized.
$C\!P$-even neutral and doubly-charged scalars are common, well known examples
which can contribute to the seven 3-body Charged Lepton Flavor Violating
decays. The experimental bounds on each Branching Ratio within this set of
processes provide a good test for new physics that can induce powerful
constraints on relevant parameter spaces. This is specially true for a third
species of particle which, unlike the previous two, is a rare feature of
renormalizable models: a doubly charged vector bilepton. We show how these
purely leptonic bounds can indeed induce relevant exclusion regions for the
corresponding particles masses, stronger than what have been considered in the
literature for the alternative flavor conserving case, and examine how
interference effects can influence these regions in a non-trivial way.
