Constrained Exceptional Supersymmetric Standard Model with a Higgs Near 125 GeV

We study the parameter space of the constrained exceptional supersymmetric stan-dard model (cE6SSM) consistent with a Higgs signal near 125 GeV and the LHC searches for squarks, gluinos and Z ′. The cE6SSM parameter space consistent with correct electroweak symmetry breaking, is represented by scans in the (m0,M1/2) plane for fixed Z ′ mass and tanβ, with squark, gluino and Higgs masses plotted as contours in this plane. We find that a 125 GeV Higgs mass only arises for a sufficiently large Z ′ mass, mostly above current limits, and for particular regions of squark and gluino masses corresponding to multi-TeV squark masses, but with lighter gluinos typically within reach of the LHC 8 TeV or forthcoming 14 TeV runs. Successful dark matter relic abundance may be achieved over all the param-eter space, assuming a bino-like LSP with a nearby heavier inert Higgsino doublet and decoupled inert singlinos, resulting in conventional gluino decay signatures. A set of typical benchmark points with a Higgs near 125 GeV is provided which exemplifies these features