  The type-III seesaw seems to explain the very minuteness of neutrino masses
readily and naturally. The high-energy see-saw theories usually involve a
larger number of effective parametres than the physical and measurable
parametres appearing in the low-energy neutrino phenomenology. Casas-Ibarra
parametrisation facilitates to encode the information lost in integrating the
heavy fermions out in an arbitrary complex orthogonal matrix. The CMS
collaboration has already searched for triplet fermions in the type-III seesaw
model with only one generation of triplet fermion flavour democratically
decaying into SM leptons. We reinterpret this CMS search in the context of a
realistic type-III seesaw model with two or three generations of triplet
fermions, and endeavour to comprehend the implications of the foregoing matrix
on the $95\%$ CL lower limit on the mass of the triplet fermions. We also
discuss the phenomenological implication of the aforesaid matrix in view of
charged lepton flavour violating observables and displaced decays of the
triplet fermions at colliders.
