  Supersymmetric (SUSY) extension of the Standard Model (SM) is a primary
candidate for new physics beyond the SM. If SUSY breaking scale is very low,
for example, the multi-TeV range, and the SUSY breaking sector, except for the
goldstino (gravitino), is decoupled from the low energy spectrum, the hidden
sector effect in the minimal SUSY SM (MSSM) is well described by employing the
goldstino chiral superfield ($X$) with the nilpotent condition of $X^2=0$.
Although this so-called "nonlinear MSSM" (NL-MSSM) provides a variety of
interesting phenomenologies, there is a cosmological problem that the lightest
superpartner gravitino is too light to be the major component of the dark
matter (DM) in our universe. To solve this problem, we propose a minimal
extension of the NL-MSSM by introducing a parity-odd SM singlet chiral
superfield ($\Phi$). We show that the interaction of the scalar component in
$\Phi$ with the MSSM Higgs doublets is induced after eliminating F-component of
the goldstino superfield and the lightest real scalar in $\Phi$ plays the role
of the Higgs-portal DM. With a suitable choice of the model parameters, a
successful Higgs-portal DM scenario can be realized while achieving the SM-like
Higgs boson mass of 125 GeV from the tree-level Higgs potential through the
multi-TeV SUSY breaking effect.
