  Non-linearly realized supersymmetry, combined with the Standard Model field
content and SU(3)XSU(2)XU(1) gauge invariance, permits local dimension-six
operators involving a goldstino, a lepton doublet and a Higgs doublet. These
interactions preserve total lepton number if the left-handed goldstino
transforms as an antilepton. We discuss the resulting phenomenology, in the
simple limit where the new couplings involve only one lepton family, thus
conserving also lepton flavour. Both the Z boson and the Higgs boson can decay
into a neutrino and a goldstino: the present limits from the invisible Z width
and from other observables leave room for the striking possibility of a Higgs
boson decaying dominantly, or at least with a sizable branching ratio, via such
an invisible mode. We finally comment on the perspectives at hadron and lepton
colliders, and on possible extensions of our analysis.
