  A new era in particle physics is being spurred on by new data from the Large
Hadron Collider. Non-vanishing neutrino masses represent firm observational
evidence of new physics beyond the Standard Model. An extension of the latter,
based on a SU(3)_C x SU(2)_L x U(1)_Y x U(1)_{B-L} symmetry, incorporating an
established Baryon minus Lepton number invariance, is proposed as a viable and
testable solution to the neutrino mass problem. We argue that LHC data will
probe all the new content of this model: heavy neutrinos, an extra gauge boson
emerging from spontaneous breaking of the additional gauge group at the TeV
scale, onset by a new heavier Higgs boson, also visible at the CERN
proton-proton collider. An even more exciting version of this model is the one
exploiting Supersymmetry: firstly, it incorporates all its well known benefits;
secondly, it alleviates the flaws of its more minimal realisations. Finally,
this model provides a credible cold Dark Matter candidate, the lightest
sneutrino, detectable in both underground and collider experiments.
