  Recent LHC searches have provided strong evidence for the Higgs, a boson
whose gauge quantum numbers coincide with those of a SM fermion, the neutrino.
This raises the mandatory question of whether Higgs and neutrino can be related
by supersymmetry. We study this possibility in a model in which an approximate
R-symmetry acts as a lepton number. We show that Higgs physics resembles that
of the SM-Higgs with the exception of a novel invisible decay into Goldstino
and neutrino with a branching fraction that can be as large as ~10%. Based on
naturalness criteria, only stops and sbottoms are required to be lighter than
the TeV with a phenomenology dictated by the R-symmetry. They have novel decays
into quarks+leptons that could be seen at the LHC, allowing to distinguish
these scenarios from the ordinary MSSM.
