SU(5) Grand Unification in Pure Gravity Mediation

Understand

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 $m_{3/2}\sim 60$ TeV and $\tan\beta\sim 4$, for which gauge coupling unification is also good, the proton lifetime is short enough that it could be in reach of future experiments.