We discuss singlet extensions of the MSSM with Z4R 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.
@article{arxiv.1502.07207,
title = {Singlet extensions of the MSSM with Z_4^R symmetry},
author = {Michael Ratz and Patrick K. S. Vaudrevange},
journal= {arXiv preprint arXiv:1502.07207},
year = {2015}
}