NMSSM with Gravitino Dark Matter to be tested at LHC

Understand

We present a solution to the gravitino problem, which arises in the NMSSM, allowing for sparticle spectra from ordinary gravity-mediated supersymmetry breaking with weak-scale gravitino dark matter.

• The coupling, which links the singlet to the MSSM sector, enhances the tree-level Higgs mass, providing an attractive explanation why the observed Higgs boson is so heavy.
• The same coupling induces very efficient pair-annihilation processes of the neutralino NLSP.
• Its relic abundance can be sufficiently suppressed to satisfy the strong constraints on late decaying relics from primordial nucleosynthesis -- even for very long neutralino lifetimes.