We review and update the current phenomenological constraints on minimal type
I seesaw extensions of the Standard Model in which New Physics content can be
probed at the electroweak scale. In this class of models, the flavour structure
of the neutrino Yukawa couplings is determined by the requirement of
reproducing neutrino oscillation data. The strongest constraints on the seesaw
parameter space are imposed by the very recent upper limit on \mu\ --> e
\gamma\ decay rate. Searches of non-standard Higgs boson decays into a light
and a heavy neutrino may also provide and independent test of these seesaw
scenarios.Comment: Prepared for DISCRETE 2012 - The Third Symposium on Prospects in the
Physics of Discrete Symmetries, Instituto Superior T\'ecnico, Lisbon, 3 - 7
December 201