GUT-inspired supersymmetric model for h → γγ and the muon g-2

We study a grand unified theories inspired supersymmetric model with nonuniversal gaugino masses that can explain the observed muon g - 2 anomaly while simultaneously accommodating an enhancement or suppression in the h -> gamma gamma decay channel. In order to accommodate these observations and m(h) similar or equal to 125 to 126 GeV, the model requires a spectrum consisting of relatively light sleptons whereas the colored sparticles are heavy. The predicted stau mass range corresponding to R-gamma gamma >= 1.1 is 100 GeV less than or similar to m (tau) over tilde less than or similar to 200 GeV. The constraint on the slepton masses, particularly on the smuons, arising from considerations of muon g - 2 is somewhat milder. The slepton masses in this case are predicted to lie in the few hundred GeV range. The colored sparticles turn out to be considerably heavier with m (g) over tilde greater than or similar to 4.5 TeV and m (t(1)) over tilde greater than or similar to 3.5 TeV, which makes it challenging for these to be observed at the 14 TeV LHC.