The MSSM Higgs sector with a dynamical goldstino supermultiplet

We consider a supersymmetric realization of the MSSM Higgs sector, where the soft terms are promoted to supersymmetric operators and a minimal weakly coupled hidden sector is included. The model exhibits long-lived meta-stable vacua in which supersymmetry and electroweak symmetry are spontaneously broken. The spectrum contains, in addition to the usual MSSM particles and the goldstino fermion, a CP-even and a CP-odd scalar in the neutral Higgs sector corresponding to the complex sgoldstino scalar. By treating all the components of the goldstino supermultiplet dynamically and taking into account their interactions with the Higgs fields, additional couplings beyond those of the MSSM are induced. When the supersymmetry breaking scale is low, these couplings can raise the masses of all the Higgs particles above the LEP bound, already at tree level and for any value of tan β. The model includes a scenario where, for any choice of the supersymmetry breaking scale, the set of parameters is reduced to the standard set (μ, Bμ, tan β) of the MSSM Higgs sector but where novel decays of doublet-like states into sgoldstino-like states are kinematically allowed.