Abstract
We derive a one-loop expression, including all thresholds, for the mass of the proton decay mediating color triplets M D c , in minimal supersymmetric SU (5). The result for M D c does not depend on other heavy thresholds or extra representations with SU (5) invariant masses which might be added to the minimal model. We numerically correct our result to two-loop accuracy. Choosing inputs to maximize M D c and τ P , within experimental limits on the inputs and a 1 TeV naturalness bound, we derive a strict bound α 3 > 0.117. We discuss how this bound will change as experimental limits improve. Measurements of α 3 from deep inelastic scattering and the charmonium spectrum are below the bound α 3 > 0.117 by more than 3σ. We briefly review several ideas of how to resolve the discrepancy between these low values of α 3 and the determinations of α 3 from LEP event shapes.
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