The discovery of a 125.5 GeV Higgs with standard model-like couplings and
naturalness considerations motivate gauge extensions of the MSSM. We analyse
two variants of such an extension and carry out a phenomenological study of
regions of the parameter space satisfying current direct and indirect
constraints, employing state-of-the art two-loop RGE evolution and GMSB
boundary conditions. We find that due to the appearance of non-decoupled
D-terms it is possible to obtain a 125.5 GeV Higgs with stops below 2 TeV,
while the uncolored sparticles could still lie within reach of the LHC. We
compare the contributions of the stop sector and the non-decoupled D-terms to
the Higgs mass, and study their effect on the Higgs couplings. We further
investigate the nature of the next-to lightest supersymmetric particle, in
light of the GMSB motivated searches currently being pursued by ATLAS and CMS.Comment: 45 pages, 17 figures, Supplementary material
SupplementaryQSMxEW-Regime1.pdf attached in source. v2: preprint number added
v3: Appendix A.6, Published in EPJ