  In this letter we study new relevant phenomenological consequences of the
right-handed heavy neutrinos with masses at the ${\cal O}(1)$ TeV energy scale,
working within the context of the Inverse Seesaw Model that includes three
pairs of quasi-degenerate pseudo-Dirac heavy neutrinos. We propose a new exotic
signal of these heavy neutrinos at the CERN Large Hadron Collider containing a
muon, a tau lepton, and two jets in the final state, which is based on the
interesting fact that this model can incorporate large Lepton Flavor Violation
for specific choices of the relevant parameters, particularly, the neutrino
Yukawa couplings. We will show here that an observable number of $\mu\tau jj$
exotic events, without missing energy, can be produced at this ongoing run of
the LHC.
