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The discovery of the Higgs boson at the Large Hadron Collider (LHC) has agreat impact on the minimal supersymmetric extension of the Standard Model(MSSM). In the context of the constrained MSSM (CMSSM) and its extension withnon-universal masses for the MSSM Higgs doublets (NUHM2), sparticles withmasses $ > 1$ TeV are necessary to reproduce the observed Higgs boson mass of125-126 GeV. On the other hand, there appears to be a significant amount ofdiscrepancy between the measured muon $g-2$ and the Standard Model prediction.A successful explanation of this discrepancy in the MSSM requires newcontributions involving relatively light sparticles with masses $ < 1$ TeV. Inthis paper, we attempt to accommodate the two conflicting requirements in anSU(5) inspired extension of the CMSSM. We assign non-universal but flavor blindsoft supersymmetry breaking masses to the scalar components in $\bar 5$ and 10matter supermultiplets. The two MSSM Higgs doublets in the 5, $\bar5$representations of SU(5) are also assigned unequal soft mass$^2$ at $M_{GUT}$.We identify parameter regions which can simultaneously accommodate the observedHiggs boson mass and the muon $g-2$ data, and which are compatible with otherphenomenological constraints such as neutralino dark matter relic abundance andrare B-meson decays. Some regions of the allowed parameter space will beexplored at the upgraded LHC and by dark matter direct detection experiments.

Particle Spectroscopy of Supersymmetric SU(5) in Light of 125 GeV Higgs and Muon g-2 Data