  Abelian vector bosons can get massive through the Stueckelberg mechanism
without spontaneous symmetry breaking via condensation of Higgs scalar fields.
This appears very naturally in models derived from string theory and
supergravity. The simplest scenarios of this type consist of extensions of the
Standard Model (SM) or the minimal supersymmetric standard model (MSSM) by an
extra U(1)_X gauge group with Stueckelberg type couplings. For the SM, the
physical spectrum is extended by a massive neutral gauge boson Z' only, while
the extension of the MSSM contains a CP-even neutral scalar and two extra
neutralinos. The new gauge boson Z' can be very light compared to other models
with U(1)' extensions. Among the new features of the Stueckelberg extension of
the MSSM, the most striking is the possibility of a new lightest supersymmetric
particle (LSP) chi_{St}^0 which is mostly composed of Stueckelberg fermions. In
this scenario the LSP of the MSSM chi_1^0 is unstable and decays into
chi_{St}^0. Such decays alter the signatures of supersymmetry and have impact
on searches for supersymmetry in accelerator experiments. Further, with
R-parity invariance, chi_{St}^0 is the new candidate for dark matter.
