  We discuss singlet extensions of the MSSM with $\Z4^R$ symmetry. We show that
holomorphic zeros can avoid a potentially large coefficient of the term linear
in the singlet. The emerging model has both an effective mu term and a
supersymmetric mass term for the singlet mu_N which are controlled by the
gravitino mass. The mu term turns out to be suppressed against mu_N by about
one or two orders of magnitude. We argue that this class of models might
provide us with a solution to the little hierarchy problem of the MSSM.
