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We study the parameter space of the constrained exceptional supersymmetricstandard model (cE6SSM) consistent with a Higgs signal near 125 GeV and the LHCsearches for squarks, gluinos and Z'. The cE6SSM parameter space consistentwith correct electroweak symmetry breaking, is represented by scans in the (m0,M1/2) plane for fixed Z' mass and tan beta, with squark, gluino and Higgsmasses plotted as contours in this plane. We find that a 125 GeV Higgs massonly arises for a sufficiently large Z' mass, mostly above current limits, andfor particular regions of squark and gluino masses corresponding to multi-TeVsquark masses, but with lighter gluinos typically within reach of the LHC 8 TeVor forthcoming 14 TeV runs. Successful dark matter relic abundance may beachieved over all the parameter space, assuming a bino-like LSP with a nearbyheavier inert Higgsino doublet and decoupled inert singlinos, resulting inconventional gluino decay signatures. A set of typical benchmark points with aHiggs near 125 GeV is provided which exemplifies these features.

Constrained Exceptional Supersymmetric Standard Model with a Higgs Near 125 GeV