SU(5) Grand Unification in Pure Gravity Mediation

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We discuss the proton lifetime in pure gravity mediation models with non-universal Higgs soft masses. Pure gravity mediation offers a simple framework for studying SU(5) grand unified theories with a split supersymmetry like spectra. We find that for much of the parameter space gauge coupling unification is quite good leading to rather long lifetimes for the proton. However, for m₃/₂ 60 TeV and β 4, for which gauge coupling unification is also good, the proton lifetime is short enough that it could be in reach of future experiments.