  In the LHC era the issue of the origin and nature of neutrino mass has
attained a new meaning and a renewed importance. The growing success of the
Higgs-Weinberg mechanism behind the charged fermion masses paves the way for
the question of neutrino mass. We have shown recently how the spontaneous
breaking of parity in the context of the minimal Left-Right Symmetric Model
allows to probe the origin of neutrino mass in complete analogy with the
charged fermions masses in the Standard Model. We revisit here this issue and
fill in the gaps left in our previous work. In particular we discuss a number
of different mathematical approaches to the problem of disentangling the seesaw
mechanism and show how a unique analytical solution emerges. Most important, we
give all the possible expressions for the neutrino Dirac mass matrix for
general values of light and heavy neutrino mass matrices. In practical terms
what is achieved is an untangling of the seesaw mechanism with clear and
precise predictions testable at hadron colliders such as LHC.
