Gravity-assisted exact unification in minimal supersymmetric SU(5) and its gaugino mass spectrum

Minimal supersymmetric SU(5) with exact unification is naively inconsistent with proton decay constraints. However, it can be made viable by a gravity-induced non-renormalizable operator connecting the adjoint Higgs boson and adjoint vector boson representations. We compute the allowed coupling space for this theory and find natural compatibility with proton decay constraints even for relatively light superpartner masses. The modifications away from the naive SU(5) theory have an impact on the gaugino mass spectrum, which we calculate. A combination of precision Linear Collider and Large Hadron Collider measurements of superpartner masses would enable interesting tests of the high-scale form of minimal supersymmetric SU(5).