  We study supersymmetry breaking in theories with non-minimal multiplets (such
as the complex linear or CNM multiplets), by using superspace higher derivative
terms which give rise to new supersymmetry breaking vacuum solutions on top of
the standard supersymmetric vacuum. We illustrate the decoupling of the
additional massive sectors inside the complex linear and the CNM multiplets and
show that only the Goldstino sector is left in the low energy limit. We also
discuss the duality between non-minimal scalar multiplets and chiral multiplets
in the presence of superspace higher derivatives. From the superspace Noether
procedure we calculate the supercurrents, and we show that in the supersymmetry
breaking vacuum the chiral superfield X which enters the Ferrara-Zumino
supercurrent conservation equation does indeed flow in the IR to the chiral
constrained Goldstino superfield. We also provide a description of the
Goldstino sector in terms of the Samuel-Wess superfield for the supersymmetry
breaking mechanism at hand.
